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14 <a name="package-Graph::PathsTraversal-"></a> 1 <span class="k">package </span><span class="i">Graph::PathsTraversal</span><span class="sc">;</span>
15 2 <span class="c">#</span>
16 3 <span class="c"># $RCSfile: PathsTraversal.pm,v $</span>
17 4 <span class="c"># $Date: 2015/02/28 20:49:06 $</span>
18 5 <span class="c"># $Revision: 1.29 $</span>
19 6 <span class="c">#</span>
20 7 <span class="c"># Author: Manish Sud &lt;msud@san.rr.com&gt;</span>
21 8 <span class="c">#</span>
22 9 <span class="c"># Copyright (C) 2015 Manish Sud. All rights reserved.</span>
23 10 <span class="c">#</span>
24 11 <span class="c"># This file is part of MayaChemTools.</span>
25 12 <span class="c">#</span>
26 13 <span class="c"># MayaChemTools is free software; you can redistribute it and/or modify it under</span>
27 14 <span class="c"># the terms of the GNU Lesser General Public License as published by the Free</span>
28 15 <span class="c"># Software Foundation; either version 3 of the License, or (at your option) any</span>
29 16 <span class="c"># later version.</span>
30 17 <span class="c">#</span>
31 18 <span class="c"># MayaChemTools is distributed in the hope that it will be useful, but without</span>
32 19 <span class="c"># any warranty; without even the implied warranty of merchantability of fitness</span>
33 20 <span class="c"># for a particular purpose. See the GNU Lesser General Public License for more</span>
34 21 <span class="c"># details.</span>
35 22 <span class="c">#</span>
36 23 <span class="c"># You should have received a copy of the GNU Lesser General Public License</span>
37 24 <span class="c"># along with MayaChemTools; if not, see &lt;http://www.gnu.org/licenses/&gt; or</span>
38 25 <span class="c"># write to the Free Software Foundation Inc., 59 Temple Place, Suite 330,</span>
39 26 <span class="c"># Boston, MA, 02111-1307, USA.</span>
40 27 <span class="c">#</span>
41 28
42 29 <span class="k">use</span> <span class="w">strict</span><span class="sc">;</span>
43 30 <span class="k">use</span> <span class="w">Carp</span><span class="sc">;</span>
44 31 <span class="k">use</span> <span class="w">Exporter</span><span class="sc">;</span>
45 32 <span class="k">use</span> <span class="w">Graph</span><span class="sc">;</span>
46 33 <span class="k">use</span> <span class="w">Graph::Path</span><span class="sc">;</span>
47 34
48 35 <span class="k">use</span> <span class="w">vars</span> <span class="q">qw(@ISA @EXPORT @EXPORT_OK %EXPORT_TAGS)</span><span class="sc">;</span>
49 36
50 37 <span class="i">@ISA</span> = <span class="q">qw(Exporter)</span><span class="sc">;</span>
51 38 <span class="i">@EXPORT</span> = <span class="q">qw()</span><span class="sc">;</span>
52 39 <span class="i">@EXPORT_OK</span> = <span class="q">qw()</span><span class="sc">;</span>
53 40
54 41 <span class="i">%EXPORT_TAGS</span> = <span class="s">(</span><span class="w">all</span> <span class="cm">=&gt;</span> <span class="s">[</span><span class="i">@EXPORT</span><span class="cm">,</span> <span class="i">@EXPORT_OK</span><span class="s">]</span><span class="s">)</span><span class="sc">;</span>
55 42
56 43 <span class="c"># Setup class variables...</span>
57 44 <span class="k">my</span><span class="s">(</span><span class="i">$ClassName</span><span class="s">)</span><span class="sc">;</span>
58 45 <span class="i">_InitializeClass</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
59 46
60 47 <span class="c"># Overload Perl functions...</span>
61 48 <span class="k">use</span> <span class="w">overload</span> <span class="q">&#39;&quot;&quot;&#39;</span> <span class="cm">=&gt;</span> <span class="q">&#39;StringifyPathsTraversal&#39;</span><span class="sc">;</span>
62 49
63 50 <span class="c"># Class constructor...</span>
64 <a name="new-"></a> 51 <span class="k">sub </span><span class="m">new</span> <span class="s">{</span>
65 52 <span class="k">my</span><span class="s">(</span><span class="i">$Class</span><span class="cm">,</span> <span class="i">$Graph</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
66 53
67 54 <span class="c"># Initialize object...</span>
68 55 <span class="k">my</span> <span class="i">$This</span> = <span class="s">{</span><span class="s">}</span><span class="sc">;</span>
69 56 <span class="k">bless</span> <span class="i">$This</span><span class="cm">,</span> <span class="k">ref</span><span class="s">(</span><span class="i">$Class</span><span class="s">)</span> || <span class="i">$Class</span><span class="sc">;</span>
70 57 <span class="i">$This</span><span class="i">-&gt;_InitializePathsTraversal</span><span class="s">(</span><span class="i">$Graph</span><span class="s">)</span><span class="sc">;</span>
71 58
72 59 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
73 60 <span class="s">}</span>
74 61
75 62 <span class="c"># Initialize object data...</span>
76 <a name="_InitializePathsTraversal-"></a> 63 <span class="k">sub </span><span class="m">_InitializePathsTraversal</span> <span class="s">{</span>
77 64 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Graph</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
78 65
79 66 <span class="c"># Graph object...</span>
80 67 <span class="i">$This</span>-&gt;{<span class="w">Graph</span>} = <span class="i">$Graph</span><span class="sc">;</span>
81 68
82 69 <span class="c"># Traversal mode: Vertex or Path</span>
83 70 <span class="i">$This</span>-&gt;{<span class="w">TraversalMode</span>} = <span class="q">&#39;&#39;</span><span class="sc">;</span>
84 71
85 72 <span class="c"># Traversal type: DFS, DFSWithLimit, BFS, BFSWithLimit...</span>
86 73 <span class="i">$This</span>-&gt;{<span class="w">TraversalType</span>} = <span class="q">&#39;&#39;</span><span class="sc">;</span>
87 74
88 75 <span class="c"># For finding root vertex and controlling search...</span>
89 76 <span class="k">my</span><span class="s">(</span><span class="i">@VertexIDs</span><span class="s">)</span><span class="sc">;</span>
90 77 <span class="i">@VertexIDs</span> = <span class="i">$This</span>-&gt;{<span class="w">Graph</span>}<span class="i">-&gt;GetVertices</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
91 78 <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesToVisit</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
92 79 <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesToVisit</span>}}{ <span class="i">@VertexIDs</span> } = <span class="i">@VertexIDs</span><span class="sc">;</span>
93 80
94 81 <span class="c"># Root vertex of all visited vertices...</span>
95 82 <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesRoots</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
96 83
97 84 <span class="c"># Visited vertices...</span>
98 85 <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">VisitedVertices</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
99 86
100 87 <span class="c"># Finished vertices...</span>
101 88 <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">FinishedVertices</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
102 89
103 90 <span class="c"># List of active vertices during DFS/BFS search...</span>
104 91 <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">ActiveVertices</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
105 92
106 93 <span class="c"># List of ordered vertices traversed during DFS/BFS search...</span>
107 94 <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
108 95
109 96 <span class="c"># Vertex neighbors during traversal...</span>
110 97 <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesNeighbors</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
111 98
112 99 <span class="c"># Vertices depth from root...</span>
113 100 <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesDepth</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
114 101
115 102 <span class="c"># Predecessor of each vertex during vertex traversal. For root vertex, it&#39;s root itself...</span>
116 103 <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesPredecessors</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
117 104
118 105 <span class="c"># Successors of each vertex during vertex traversal...</span>
119 106 <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesSuccessors</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
120 107
121 108 <span class="c"># Vertices at different neighborhood levels during vertex traversal...</span>
122 109 <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesNeighborhoods</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
123 110
124 111 <span class="c"># Vertices, along with their successors, at different neighborhood levels during vertex traversal...</span>
125 112 <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesNeighborhoodsWithSuccessors</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
126 113
127 114 <span class="c"># Visited edges during Path TraversalMode...</span>
128 115 <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">VisitedEdges</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
129 116 <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">VisitedEdges</span>}-&gt;{<span class="w">From</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
130 117 <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">VisitedEdges</span>}-&gt;{<span class="w">To</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
131 118
132 119 <span class="c"># Vertex path during Path TraversalMode...</span>
133 120 <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesPaths</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
134 121
135 122 <span class="c"># Allow cycles in paths during VertexNeighborhood TraversalMode. By default, cycles are not allowed</span>
136 123 <span class="c"># during vertex traversal: a vertex is only visited once during BFS search for neighborhoods. For</span>
137 124 <span class="c"># neighborhood vertices search during successors identification, vertex cycles are explicity allowed</span>
138 125 <span class="c"># to indentify all successors.</span>
139 126 <span class="i">$This</span>-&gt;{<span class="w">AllowVertexCycles</span>} = <span class="n">0</span><span class="sc">;</span>
140 127
141 128 <span class="c"># Allow cycles in paths during Path TraversalMode...</span>
142 129 <span class="i">$This</span>-&gt;{<span class="w">AllowPathCycles</span>} = <span class="n">1</span><span class="sc">;</span>
143 130
144 131 <span class="c"># Cycle closure vertices during Path TraversalMode...</span>
145 132 <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">CycleClosureVertices</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
146 133
147 134 <span class="c"># Paths traversed during search...</span>
148 135 <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Paths</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
149 136
150 137 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
151 138 <span class="s">}</span>
152 139
153 140 <span class="c"># Initialize class ...</span>
154 <a name="_InitializeClass-"></a> 141 <span class="k">sub </span><span class="m">_InitializeClass</span> <span class="s">{</span>
155 142 <span class="c">#Class name...</span>
156 143 <span class="i">$ClassName</span> = <span class="w">__PACKAGE__</span><span class="sc">;</span>
157 144 <span class="s">}</span>
158 145
159 146 <span class="c"># Perform a depth first search (DFS)...</span>
160 147 <span class="c">#</span>
161 <a name="PerformDepthFirstSearch-"></a> 148 <span class="k">sub </span><span class="m">PerformDepthFirstSearch</span> <span class="s">{</span>
162 149 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
163 150
164 151 <span class="k">if</span> <span class="s">(</span><span class="k">defined</span> <span class="i">$RootVertexID</span><span class="s">)</span> <span class="s">{</span>
165 152 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span>-&gt;{<span class="w">Graph</span>}<span class="i">-&gt;HasVertex</span><span class="s">(</span><span class="i">$RootVertexID</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
166 153 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformDepthFirstSearch: No search performed: Vertex $RootVertexID doesn&#39;t exist...&quot;</span><span class="sc">;</span>
167 154 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
168 155 <span class="s">}</span>
169 156 <span class="s">}</span>
170 157 <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_PerformVertexSearch</span><span class="s">(</span><span class="q">&quot;DFS&quot;</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="s">)</span><span class="sc">;</span>
171 158 <span class="s">}</span>
172 159
173 160 <span class="c"># Perform a depth first search (DFS) with limit on depth...</span>
174 161 <span class="c">#</span>
175 <a name="PerformDepthFirstSearchWithLimit-"></a> 162 <span class="k">sub </span><span class="m">PerformDepthFirstSearchWithLimit</span> <span class="s">{</span>
176 163 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$DepthLimit</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
177 164
178 165 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$DepthLimit</span><span class="s">)</span> <span class="s">{</span>
179 166 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformDepthFirstSearchWithLimit: No search performed: Depth limit must be specified...&quot;</span><span class="sc">;</span>
180 167 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
181 168 <span class="s">}</span>
182 169 <span class="k">if</span> <span class="s">(</span><span class="i">$DepthLimit</span> &lt; <span class="n">0</span><span class="s">)</span> <span class="s">{</span>
183 170 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformDepthFirstSearchWithLimit: No search performed: Specified depth limit, $DepthLimit, must be a positive integer...&quot;</span><span class="sc">;</span>
184 171 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
185 172 <span class="s">}</span>
186 173 <span class="k">if</span> <span class="s">(</span><span class="k">defined</span> <span class="i">$RootVertexID</span><span class="s">)</span> <span class="s">{</span>
187 174 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span>-&gt;{<span class="w">Graph</span>}<span class="i">-&gt;HasVertex</span><span class="s">(</span><span class="i">$RootVertexID</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
188 175 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformDepthFirstSearchWithLimit: No search performed: Vertex $RootVertexID doesn&#39;t exist...&quot;</span><span class="sc">;</span>
189 176 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
190 177 <span class="s">}</span>
191 178 <span class="s">}</span>
192 179 <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_PerformVertexSearch</span><span class="s">(</span><span class="q">&quot;DFSWithLimit&quot;</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="cm">,</span> <span class="i">$DepthLimit</span><span class="s">)</span><span class="sc">;</span>
193 180 <span class="s">}</span>
194 181
195 182 <span class="c"># Perform a breadth first search (BFS)...</span>
196 183 <span class="c">#</span>
197 <a name="PerformBreadthFirstSearch-"></a> 184 <span class="k">sub </span><span class="m">PerformBreadthFirstSearch</span> <span class="s">{</span>
198 185 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
199 186
200 187 <span class="k">if</span> <span class="s">(</span><span class="k">defined</span> <span class="i">$RootVertexID</span><span class="s">)</span> <span class="s">{</span>
201 188 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span>-&gt;{<span class="w">Graph</span>}<span class="i">-&gt;HasVertex</span><span class="s">(</span><span class="i">$RootVertexID</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
202 189 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformBreadthFirstSearch: No search performed: Vertex $RootVertexID doesn&#39;t exist...&quot;</span><span class="sc">;</span>
203 190 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
204 191 <span class="s">}</span>
205 192 <span class="s">}</span>
206 193 <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_PerformVertexSearch</span><span class="s">(</span><span class="q">&quot;BFS&quot;</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="s">)</span><span class="sc">;</span>
207 194 <span class="s">}</span>
208 195
209 196 <span class="c"># Perform a breadth first search (BFS) with limit...</span>
210 197 <span class="c">#</span>
211 <a name="PerformBreadthFirstSearchWithLimit-"></a> 198 <span class="k">sub </span><span class="m">PerformBreadthFirstSearchWithLimit</span> <span class="s">{</span>
212 199 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$DepthLimit</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
213 200
214 201 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$DepthLimit</span><span class="s">)</span> <span class="s">{</span>
215 202 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformBreadthFirstSearchWithLimit: No search performed: Depth limit must be specified...&quot;</span><span class="sc">;</span>
216 203 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
217 204 <span class="s">}</span>
218 205 <span class="k">if</span> <span class="s">(</span><span class="i">$DepthLimit</span> &lt; <span class="n">0</span><span class="s">)</span> <span class="s">{</span>
219 206 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformBreadthFirstSearchWithLimit: No search performed: Specified depth limit, $DepthLimit, must be a positive integer...&quot;</span><span class="sc">;</span>
220 207 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
221 208 <span class="s">}</span>
222 209 <span class="k">if</span> <span class="s">(</span><span class="k">defined</span> <span class="i">$RootVertexID</span><span class="s">)</span> <span class="s">{</span>
223 210 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span>-&gt;{<span class="w">Graph</span>}<span class="i">-&gt;HasVertex</span><span class="s">(</span><span class="i">$RootVertexID</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
224 211 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformDepthFirstSearchWithLimit: No search performed: Vertex $RootVertexID doesn&#39;t exist...&quot;</span><span class="sc">;</span>
225 212 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
226 213 <span class="s">}</span>
227 214 <span class="s">}</span>
228 215 <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_PerformVertexSearch</span><span class="s">(</span><span class="q">&quot;BFSWithLimit&quot;</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="cm">,</span> <span class="i">$DepthLimit</span><span class="s">)</span><span class="sc">;</span>
229 216 <span class="s">}</span>
230 217
231 218 <span class="c"># Perform appropriate vertex search...</span>
232 219 <span class="c">#</span>
233 <a name="_PerformVertexSearch-"></a> 220 <span class="k">sub </span><span class="m">_PerformVertexSearch</span> <span class="s">{</span>
234 221 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$SearchType</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="cm">,</span> <span class="i">$DepthLimit</span><span class="cm">,</span> <span class="i">$TargetVertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
235 222
236 223 <span class="c"># Setup search...</span>
237 224 <span class="i">$This</span>-&gt;{<span class="w">TraversalMode</span>} = <span class="q">&#39;Vertex&#39;</span><span class="sc">;</span>
238 225 <span class="i">$This</span>-&gt;{<span class="w">TraversalType</span>} = <span class="i">$SearchType</span><span class="sc">;</span>
239 226
240 227 <span class="k">if</span> <span class="s">(</span><span class="k">defined</span> <span class="i">$RootVertexID</span><span class="s">)</span> <span class="s">{</span>
241 228 <span class="i">$This</span>-&gt;{<span class="w">RootVertex</span>} = <span class="i">$RootVertexID</span><span class="sc">;</span>
242 229 <span class="s">}</span>
243 230 <span class="k">if</span> <span class="s">(</span><span class="k">defined</span> <span class="i">$DepthLimit</span><span class="s">)</span> <span class="s">{</span>
244 231 <span class="i">$This</span>-&gt;{<span class="w">DepthLimit</span>} = <span class="i">$DepthLimit</span><span class="sc">;</span>
245 232 <span class="s">}</span>
246 233 <span class="k">if</span> <span class="s">(</span><span class="k">defined</span> <span class="i">$TargetVertexID</span><span class="s">)</span> <span class="s">{</span>
247 234 <span class="i">$This</span>-&gt;{<span class="w">TargetVertex</span>} = <span class="i">$TargetVertexID</span><span class="sc">;</span>
248 235 <span class="s">}</span>
249 236
250 237 <span class="c"># Perform search...</span>
251 238 <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_TraverseGraph</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
252 239 <span class="s">}</span>
253 240
254 241 <span class="c"># Perform DFS or BFS traversal with or without any limits...</span>
255 242 <span class="c">#</span>
256 <a name="_TraverseGraph-"></a> 243 <span class="k">sub </span><span class="m">_TraverseGraph</span> <span class="s">{</span>
257 244 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
258 245 <span class="k">my</span><span class="s">(</span><span class="i">$ProcessingVertices</span><span class="cm">,</span> <span class="i">$CurrentVertexID</span><span class="cm">,</span> <span class="i">$NeighborVertexID</span><span class="cm">,</span> <span class="i">$VertexID</span><span class="s">)</span><span class="sc">;</span>
259 246
260 247 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">TraversalMode</span>} !~ <span class="q">/^(Vertex|Path|VertexNeighborhood)$/i</span><span class="s">)</span> <span class="s">{</span>
261 248 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
262 249 <span class="s">}</span>
263 250
264 251 <span class="i">$ProcessingVertices</span> = <span class="n">1</span><span class="sc">;</span>
265 252
266 253 <span class="j">VERTICES:</span> <span class="k">while</span> <span class="s">(</span><span class="i">$ProcessingVertices</span><span class="s">)</span> <span class="s">{</span>
267 254 <span class="c"># Set root vertex...</span>
268 255 <span class="k">if</span> <span class="s">(</span>!<span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">ActiveVertices</span>}}<span class="s">)</span> <span class="s">{</span>
269 256 <span class="k">my</span><span class="s">(</span><span class="i">$RootVertexID</span><span class="s">)</span><span class="sc">;</span>
270 257
271 258 <span class="i">$RootVertexID</span> = <span class="i">$This</span><span class="i">-&gt;_GetRootVertex</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
272 259 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$RootVertexID</span><span class="s">)</span> <span class="s">{</span>
273 260 <span class="i">$ProcessingVertices</span> = <span class="n">0</span><span class="sc">;</span> <span class="k">next</span> <span class="j">VERTICES</span><span class="sc">;</span>
274 261 <span class="s">}</span>
275 262 <span class="i">$This</span><span class="i">-&gt;_ProcessVisitedVertex</span><span class="s">(</span><span class="i">$RootVertexID</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="s">)</span><span class="sc">;</span>
276 263 <span class="s">}</span>
277 264
278 265 <span class="c"># Get current active vertex...</span>
279 266 <span class="i">$CurrentVertexID</span> = <span class="i">$This</span><span class="i">-&gt;_GetActiveVertex</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
280 267 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$CurrentVertexID</span><span class="s">)</span> <span class="s">{</span>
281 268 <span class="i">$ProcessingVertices</span> = <span class="n">0</span><span class="sc">;</span> <span class="k">next</span> <span class="j">VERTICES</span><span class="sc">;</span>
282 269 <span class="s">}</span>
283 270
284 271 <span class="c"># Get next available neighbor of current vertex...</span>
285 272 <span class="c">#</span>
286 273 <span class="i">$NeighborVertexID</span> = <span class="i">$This</span><span class="i">-&gt;_GetNeighborVertex</span><span class="s">(</span><span class="i">$CurrentVertexID</span><span class="s">)</span><span class="sc">;</span>
287 274
288 275 <span class="c"># Process neighbor or current vertex...</span>
289 276 <span class="k">if</span> <span class="s">(</span><span class="k">defined</span> <span class="i">$NeighborVertexID</span><span class="s">)</span> <span class="s">{</span>
290 277 <span class="i">$This</span><span class="i">-&gt;_ProcessVisitedVertex</span><span class="s">(</span><span class="i">$NeighborVertexID</span><span class="cm">,</span> <span class="i">$CurrentVertexID</span><span class="s">)</span><span class="sc">;</span>
291 278 <span class="s">}</span>
292 279 <span class="k">else</span> <span class="s">{</span>
293 280 <span class="c"># Finished with all neighbors for current vertex...</span>
294 281 <span class="i">$This</span><span class="i">-&gt;_ProcessFinishedVertex</span><span class="s">(</span><span class="i">$CurrentVertexID</span><span class="s">)</span><span class="sc">;</span>
295 282 <span class="s">}</span>
296 283 <span class="s">}</span>
297 284 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
298 285 <span class="s">}</span>
299 286
300 287 <span class="c"># Get root vertex to start the search...</span>
301 288 <span class="c">#</span>
302 289 <span class="c"># Notes:</span>
303 290 <span class="c"># . User specification of root vertex forces traversal in a specific connected component</span>
304 291 <span class="c"># of graph; To traverse find all connected components, perform traversal without specification of</span>
305 292 <span class="c"># a root vertex.</span>
306 293 <span class="c">#</span>
307 <a name="_GetRootVertex-"></a> 294 <span class="k">sub </span><span class="m">_GetRootVertex</span> <span class="s">{</span>
308 295 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
309 296 <span class="k">my</span><span class="s">(</span><span class="i">$RootVertexID</span><span class="s">)</span><span class="sc">;</span>
310 297
311 298 <span class="c"># Check for specified root vertex and constrain traversal to specific connected</span>
312 299 <span class="c"># component by setting root limit...</span>
313 300 <span class="k">if</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">RootVertex</span>}<span class="s">)</span> <span class="s">{</span>
314 301 <span class="i">$RootVertexID</span> = <span class="i">$This</span>-&gt;{<span class="w">RootVertex</span>}<span class="sc">;</span>
315 302 <span class="k">delete</span> <span class="i">$This</span>-&gt;{<span class="w">RootVertex</span>}<span class="sc">;</span>
316 303 <span class="i">$This</span>-&gt;{<span class="w">RootVertexSpecified</span>} = <span class="n">1</span><span class="sc">;</span>
317 304
318 305 <span class="k">return</span> <span class="i">$RootVertexID</span><span class="sc">;</span>
319 306 <span class="s">}</span>
320 307 <span class="c"># Traversal limited to connected component containing specified root vertex...</span>
321 308 <span class="k">if</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">RootVertexSpecified</span>}<span class="s">)</span> <span class="s">{</span>
322 309 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
323 310 <span class="s">}</span>
324 311
325 312 <span class="c"># Use first vertex in sorted available vertices list to get root vertex. Vertex</span>
326 313 <span class="c"># with largest degree could also be used as root vertex. However, for all</span>
327 314 <span class="c"># practical purposes, any arbitrary vertex can be used as root vertex to</span>
328 315 <span class="c"># start search for another disconnected component of the graph.</span>
329 316 <span class="c">#</span>
330 317 <span class="k">my</span><span class="s">(</span><span class="i">@VerticesToVisit</span><span class="s">)</span><span class="sc">;</span>
331 318
332 319 <span class="i">$RootVertexID</span> = <span class="k">undef</span><span class="sc">;</span> <span class="i">@VerticesToVisit</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
333 320 <span class="i">@VerticesToVisit</span> = <span class="k">sort</span> <span class="s">{</span> <span class="i">$a</span> &lt;=&gt; <span class="i">$b</span> <span class="s">}</span> <span class="k">keys</span> <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesToVisit</span>}}<span class="sc">;</span>
334 321 <span class="k">if</span> <span class="s">(</span><span class="i">@VerticesToVisit</span><span class="s">)</span> <span class="s">{</span>
335 322 <span class="i">$RootVertexID</span> = <span class="i">$VerticesToVisit</span>[<span class="n">0</span>]<span class="sc">;</span>
336 323 <span class="s">}</span>
337 324 <span class="k">return</span> <span class="i">$RootVertexID</span><span class="sc">;</span>
338 325 <span class="s">}</span>
339 326
340 327 <span class="c"># Get current or new active vertex for DFS/BFS traversals...</span>
341 328 <span class="c">#</span>
342 <a name="_GetActiveVertex-"></a> 329 <span class="k">sub </span><span class="m">_GetActiveVertex</span> <span class="s">{</span>
343 330 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
344 331 <span class="k">my</span><span class="s">(</span><span class="i">$ActiveVertexID</span><span class="s">)</span><span class="sc">;</span>
345 332
346 333 <span class="i">$ActiveVertexID</span> = <span class="k">undef</span><span class="sc">;</span>
347 334 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">TraversalType</span>} =~ <span class="q">/^(DFS|DFSWithLimit)$/i</span><span class="s">)</span> <span class="s">{</span>
348 335 <span class="c"># For DFS, it&#39;s last vertex in LIFO queue...</span>
349 336 <span class="i">$ActiveVertexID</span> = <span class="i">$This</span>-&gt;{<span class="w">ActiveVertices</span>}[<span class="n">-1</span>]<span class="sc">;</span>
350 337 <span class="s">}</span>
351 338 <span class="k">elsif</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">TraversalType</span>} =~ <span class="q">/^(BFS|BFSWithLimit)$/i</span><span class="s">)</span> <span class="s">{</span>
352 339 <span class="c"># For BFS, it&#39;s first vertex in FIFO queue...</span>
353 340 <span class="i">$ActiveVertexID</span> = <span class="i">$This</span>-&gt;{<span class="w">ActiveVertices</span>}[<span class="n">0</span>]<span class="sc">;</span>
354 341 <span class="s">}</span>
355 342 <span class="k">return</span> <span class="i">$ActiveVertexID</span><span class="sc">;</span>
356 343 <span class="s">}</span>
357 344
358 345 <span class="c"># Get available neigbor of specified vertex...</span>
359 346 <span class="c">#</span>
360 <a name="_GetNeighborVertex-"></a> 347 <span class="k">sub </span><span class="m">_GetNeighborVertex</span> <span class="s">{</span>
361 348 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$VertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
362 349
363 350 <span class="c"># Retrieve neighbors for vertex...</span>
364 351 <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VerticesNeighbors</span>}{<span class="i">$VertexID</span>}<span class="s">)</span> <span class="s">{</span>
365 352 <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesNeighbors</span>}{<span class="i">$VertexID</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
366 353
367 354 <span class="k">if</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">DepthLimit</span>}<span class="s">)</span> <span class="s">{</span>
368 355 <span class="c"># Only collect neighbors to visit below specified depth limit...</span>
369 356 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">VerticesDepth</span>}{<span class="i">$VertexID</span>} &lt; <span class="i">$This</span>-&gt;{<span class="w">DepthLimit</span>}<span class="s">)</span> <span class="s">{</span>
370 357 <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesNeighbors</span>}{<span class="i">$VertexID</span>}}<span class="cm">,</span> <span class="i">$This</span>-&gt;{<span class="w">Graph</span>}<span class="i">-&gt;GetNeighbors</span><span class="s">(</span><span class="i">$VertexID</span><span class="s">)</span><span class="sc">;</span>
371 358 <span class="s">}</span>
372 359 <span class="k">else</span> <span class="s">{</span>
373 360 <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">RootVertexSpecified</span>}<span class="s">)</span> <span class="s">{</span>
374 361 <span class="c"># Mark all other downstream neighbor vertices to be ignored from any further</span>
375 362 <span class="c"># processing and avoid selection of a new root...</span>
376 363 <span class="i">$This</span><span class="i">-&gt;_IgnoreDownstreamNeighbors</span><span class="s">(</span><span class="i">$VertexID</span><span class="s">)</span><span class="sc">;</span>
377 364 <span class="s">}</span>
378 365 <span class="s">}</span>
379 366 <span class="s">}</span>
380 367 <span class="k">elsif</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">TargetVertex</span>}<span class="s">)</span> <span class="s">{</span>
381 368 <span class="k">if</span> <span class="s">(</span><span class="i">$VertexID</span> != <span class="i">$This</span>-&gt;{<span class="w">TargetVertex</span>}<span class="s">)</span> <span class="s">{</span>
382 369 <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesNeighbors</span>}{<span class="i">$VertexID</span>}}<span class="cm">,</span> <span class="i">$This</span>-&gt;{<span class="w">Graph</span>}<span class="i">-&gt;GetNeighbors</span><span class="s">(</span><span class="i">$VertexID</span><span class="s">)</span><span class="sc">;</span>
383 370 <span class="s">}</span>
384 371 <span class="s">}</span>
385 372 <span class="k">else</span> <span class="s">{</span>
386 373 <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesNeighbors</span>}{<span class="i">$VertexID</span>}}<span class="cm">,</span> <span class="i">$This</span>-&gt;{<span class="w">Graph</span>}<span class="i">-&gt;GetNeighbors</span><span class="s">(</span><span class="i">$VertexID</span><span class="s">)</span><span class="sc">;</span>
387 374 <span class="s">}</span>
388 375 <span class="s">}</span>
389 376
390 377 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">TraversalMode</span>} =~ <span class="q">/^Path$/i</span><span class="s">)</span> <span class="s">{</span>
391 378 <span class="c"># Get available neighbor for path search...</span>
392 379 <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_GetNeighborVertexDuringPathTraversal</span><span class="s">(</span><span class="i">$VertexID</span><span class="s">)</span><span class="sc">;</span>
393 380 <span class="s">}</span>
394 381 <span class="k">elsif</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">TraversalMode</span>} =~ <span class="q">/^Vertex$/i</span><span class="s">)</span> <span class="s">{</span>
395 382 <span class="c"># Get unvisited neighbor for vertex search...</span>
396 383 <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_GetNeighborVertexDuringVertexTraversal</span><span class="s">(</span><span class="i">$VertexID</span><span class="s">)</span><span class="sc">;</span>
397 384 <span class="s">}</span>
398 385 <span class="k">elsif</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">TraversalMode</span>} =~ <span class="q">/^VertexNeighborhood$/i</span><span class="s">)</span> <span class="s">{</span>
399 386 <span class="c"># Get available neighbor during vertex neighborhood search...</span>
400 387 <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_GetNeighborVertexDuringVertexNeighborhoodTraversal</span><span class="s">(</span><span class="i">$VertexID</span><span class="s">)</span><span class="sc">;</span>
401 388 <span class="s">}</span>
402 389 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
403 390 <span class="s">}</span>
404 391
405 392 <span class="c"># Get unvisited neighbor of specified vertex during vertex traversal...</span>
406 393 <span class="c">#</span>
407 <a name="_GetNeighborVertexDuringVertexTraversal-"></a> 394 <span class="k">sub </span><span class="m">_GetNeighborVertexDuringVertexTraversal</span> <span class="s">{</span>
408 395 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$VertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
409 396 <span class="k">my</span><span class="s">(</span><span class="i">$NeighborVertexID</span><span class="cm">,</span> <span class="i">$UnvisitedNeighborVertexID</span><span class="s">)</span><span class="sc">;</span>
410 397
411 398 <span class="c"># Get unvisited neighbor...</span>
412 399 <span class="i">$UnvisitedNeighborVertexID</span> = <span class="k">undef</span><span class="sc">;</span>
413 400 <span class="j">NEIGHBOR:</span> <span class="k">for</span> <span class="i">$NeighborVertexID</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesNeighbors</span>}{<span class="i">$VertexID</span>}}<span class="s">)</span> <span class="s">{</span>
414 401 <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VisitedVertices</span>}{<span class="i">$NeighborVertexID</span>}<span class="s">)</span> <span class="s">{</span>
415 402 <span class="i">$UnvisitedNeighborVertexID</span> = <span class="i">$NeighborVertexID</span><span class="sc">;</span>
416 403 <span class="k">last</span> <span class="j">NEIGHBOR</span><span class="sc">;</span>
417 404 <span class="s">}</span>
418 405 <span class="s">}</span>
419 406 <span class="k">return</span> <span class="i">$UnvisitedNeighborVertexID</span><span class="sc">;</span>
420 407 <span class="s">}</span>
421 408
422 409 <span class="c"># Get available neighbor of specified vertex during vertex neighborhood traversal...</span>
423 410 <span class="c">#</span>
424 <a name="_GetNeighborVertexDuringVertexNeighborhoodTraversal-"></a> 411 <span class="k">sub </span><span class="m">_GetNeighborVertexDuringVertexNeighborhoodTraversal</span> <span class="s">{</span>
425 412 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$VertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
426 413 <span class="k">my</span><span class="s">(</span><span class="i">$NeighborVertexID</span><span class="cm">,</span> <span class="i">$UnvisitedNeighborVertexID</span><span class="s">)</span><span class="sc">;</span>
427 414
428 415 <span class="c"># Get available neighbor...</span>
429 416 <span class="i">$UnvisitedNeighborVertexID</span> = <span class="k">undef</span><span class="sc">;</span>
430 417 <span class="j">NEIGHBOR:</span> <span class="k">for</span> <span class="i">$NeighborVertexID</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesNeighbors</span>}{<span class="i">$VertexID</span>}}<span class="s">)</span> <span class="s">{</span>
431 418 <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VisitedVertices</span>}{<span class="i">$NeighborVertexID</span>}<span class="s">)</span> <span class="s">{</span>
432 419 <span class="i">$UnvisitedNeighborVertexID</span> = <span class="i">$NeighborVertexID</span><span class="sc">;</span>
433 420 <span class="k">last</span> <span class="j">NEIGHBOR</span><span class="sc">;</span>
434 421 <span class="s">}</span>
435 422 <span class="c"># Look for any unvisited edge back to visited vertex...</span>
436 423 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span><span class="i">-&gt;_IsVisitedEdge</span><span class="s">(</span><span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$NeighborVertexID</span><span class="s">)</span> || <span class="i">$This</span><span class="i">-&gt;_IsVisitedEdge</span><span class="s">(</span><span class="i">$NeighborVertexID</span><span class="cm">,</span> <span class="i">$VertexID</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
437 424 <span class="k">next</span> <span class="j">NEIGHBOR</span><span class="sc">;</span>
438 425 <span class="s">}</span>
439 426 <span class="c"># Check its depth...</span>
440 427 <span class="k">if</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">DepthLimit</span>}<span class="s">)</span> <span class="s">{</span>
441 428 <span class="k">if</span> <span class="s">(</span><span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">VerticesDepth</span>}{<span class="i">$VertexID</span>} + <span class="n">1</span><span class="s">)</span> &gt; <span class="i">$This</span>-&gt;{<span class="w">DepthLimit</span>}<span class="s">)</span> <span class="s">{</span>
442 429 <span class="k">next</span> <span class="j">NEIGHBOR</span><span class="sc">;</span>
443 430 <span class="s">}</span>
444 431 <span class="s">}</span>
445 432 <span class="c"># Its an edge that makes a cycle during BFS search...</span>
446 433 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">AllowVertexCycles</span>}<span class="s">)</span> <span class="s">{</span>
447 434 <span class="i">$This</span>-&gt;{<span class="w">CycleClosureVertices</span>}{<span class="i">$NeighborVertexID</span>} = <span class="n">1</span><span class="sc">;</span>
448 435 <span class="i">$UnvisitedNeighborVertexID</span> = <span class="i">$NeighborVertexID</span><span class="sc">;</span>
449 436 <span class="k">last</span> <span class="j">NEIGHBOR</span><span class="sc">;</span>
450 437 <span class="s">}</span>
451 438 <span class="s">}</span>
452 439 <span class="k">return</span> <span class="i">$UnvisitedNeighborVertexID</span><span class="sc">;</span>
453 440 <span class="s">}</span>
454 441
455 442 <span class="c"># Get available neighbor of specified vertex during path traversal...</span>
456 443 <span class="c">#</span>
457 <a name="_GetNeighborVertexDuringPathTraversal-"></a> 444 <span class="k">sub </span><span class="m">_GetNeighborVertexDuringPathTraversal</span> <span class="s">{</span>
458 445 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$VertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
459 446 <span class="k">my</span><span class="s">(</span><span class="i">$NeighborVertexID</span><span class="cm">,</span> <span class="i">$UnvisitedNeighborVertexID</span><span class="s">)</span><span class="sc">;</span>
460 447
461 448 <span class="c"># Get unvisited neighbor...</span>
462 449 <span class="i">$UnvisitedNeighborVertexID</span> = <span class="k">undef</span><span class="sc">;</span>
463 450 <span class="j">NEIGHBOR:</span> <span class="k">for</span> <span class="i">$NeighborVertexID</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesNeighbors</span>}{<span class="i">$VertexID</span>}}<span class="s">)</span> <span class="s">{</span>
464 451 <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VisitedVertices</span>}{<span class="i">$NeighborVertexID</span>}<span class="s">)</span> <span class="s">{</span>
465 452 <span class="c"># An unvisited vertex...</span>
466 453 <span class="i">$UnvisitedNeighborVertexID</span> = <span class="i">$NeighborVertexID</span><span class="sc">;</span>
467 454 <span class="k">last</span> <span class="j">NEIGHBOR</span><span class="sc">;</span>
468 455 <span class="s">}</span>
469 456 <span class="c"># Look for any unvisited edge back to visited vertex...</span>
470 457 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span><span class="i">-&gt;_IsVisitedEdge</span><span class="s">(</span><span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$NeighborVertexID</span><span class="s">)</span> || <span class="i">$This</span><span class="i">-&gt;_IsVisitedEdge</span><span class="s">(</span><span class="i">$NeighborVertexID</span><span class="cm">,</span> <span class="i">$VertexID</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
471 458 <span class="k">next</span> <span class="j">NEIGHBOR</span><span class="sc">;</span>
472 459 <span class="s">}</span>
473 460 <span class="c"># Check its depth...</span>
474 461 <span class="k">if</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">DepthLimit</span>}<span class="s">)</span> <span class="s">{</span>
475 462 <span class="k">if</span> <span class="s">(</span><span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">VerticesDepth</span>}{<span class="i">$VertexID</span>} + <span class="n">1</span><span class="s">)</span> &gt;= <span class="i">$This</span>-&gt;{<span class="w">DepthLimit</span>}<span class="s">)</span> <span class="s">{</span>
476 463 <span class="k">next</span> <span class="j">NEIGHBOR</span><span class="sc">;</span>
477 464 <span class="s">}</span>
478 465 <span class="s">}</span>
479 466
480 467 <span class="c"># It&#39;s the edge final edge of a cycle in case $NeighborVertexID is already in the path; otherwise, it&#39;s</span>
481 468 <span class="c"># part of the path from a different direction in a cycle or a left over vertex during Limit search.</span>
482 469 <span class="c">#</span>
483 470 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span><span class="i">-&gt;_IsCycleClosureEdge</span><span class="s">(</span><span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$NeighborVertexID</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
484 471 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">AllowPathCycles</span>}<span class="s">)</span> <span class="s">{</span>
485 472 <span class="i">$This</span>-&gt;{<span class="w">CycleClosureVertices</span>}{<span class="i">$NeighborVertexID</span>} = <span class="n">1</span><span class="sc">;</span>
486 473 <span class="i">$UnvisitedNeighborVertexID</span> = <span class="i">$NeighborVertexID</span><span class="sc">;</span>
487 474 <span class="k">last</span> <span class="j">NEIGHBOR</span><span class="sc">;</span>
488 475 <span class="s">}</span>
489 476 <span class="s">}</span>
490 477 <span class="k">else</span> <span class="s">{</span>
491 478 <span class="i">$UnvisitedNeighborVertexID</span> = <span class="i">$NeighborVertexID</span><span class="sc">;</span>
492 479 <span class="k">last</span> <span class="j">NEIGHBOR</span><span class="sc">;</span>
493 480 <span class="s">}</span>
494 481 <span class="s">}</span>
495 482 <span class="k">return</span> <span class="i">$UnvisitedNeighborVertexID</span><span class="sc">;</span>
496 483 <span class="s">}</span>
497 484
498 485 <span class="c"># Process visited vertex...</span>
499 486 <span class="c">#</span>
500 <a name="_ProcessVisitedVertex-"></a> 487 <span class="k">sub </span><span class="m">_ProcessVisitedVertex</span> <span class="s">{</span>
501 488 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$PredecessorVertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
502 489
503 490 <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VisitedVertices</span>}{<span class="i">$VertexID</span>}<span class="s">)</span> <span class="s">{</span>
504 491 <span class="c"># Add it to active vertices list...</span>
505 492 <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">ActiveVertices</span>}}<span class="cm">,</span> <span class="i">$VertexID</span><span class="sc">;</span>
506 493
507 494 <span class="c"># Mark vertex as visited vertex and take it out from the list of vertices to visit...</span>
508 495 <span class="i">$This</span>-&gt;{<span class="w">VisitedVertices</span>}{<span class="i">$VertexID</span>} = <span class="n">1</span><span class="sc">;</span>
509 496 <span class="k">delete</span> <span class="i">$This</span>-&gt;{<span class="w">VerticesToVisit</span>}{<span class="i">$VertexID</span>}<span class="sc">;</span>
510 497 <span class="s">}</span>
511 498
512 499 <span class="c"># Set up root vertex, predecessor vertex and distance from root...</span>
513 500 <span class="k">if</span> <span class="s">(</span><span class="i">$VertexID</span> == <span class="i">$PredecessorVertexID</span><span class="s">)</span> <span class="s">{</span>
514 501 <span class="i">$This</span>-&gt;{<span class="w">VerticesRoots</span>}{<span class="i">$VertexID</span>} = <span class="i">$VertexID</span><span class="sc">;</span>
515 502
516 503 <span class="i">$This</span>-&gt;{<span class="w">VerticesPredecessors</span>}{<span class="i">$VertexID</span>} = <span class="i">$VertexID</span><span class="sc">;</span>
517 504 <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VerticesSuccessors</span>}{<span class="i">$VertexID</span>}<span class="s">)</span> <span class="s">{</span>
518 505 <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesSuccessors</span>}{<span class="i">$VertexID</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
519 506 <span class="s">}</span>
520 507
521 508 <span class="i">$This</span>-&gt;{<span class="w">VerticesDepth</span>}{<span class="i">$VertexID</span>} = <span class="n">0</span><span class="sc">;</span>
522 509
523 510 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">TraversalMode</span>} =~ <span class="q">/^Path$/i</span><span class="s">)</span> <span class="s">{</span>
524 511 <span class="i">$This</span><span class="i">-&gt;_ProcessVisitedPath</span><span class="s">(</span><span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$PredecessorVertexID</span><span class="s">)</span><span class="sc">;</span>
525 512 <span class="s">}</span>
526 513 <span class="s">}</span>
527 514 <span class="k">else</span> <span class="s">{</span>
528 515 <span class="i">$This</span>-&gt;{<span class="w">VerticesRoots</span>}{<span class="i">$VertexID</span>} = <span class="i">$This</span>-&gt;{<span class="w">VerticesRoots</span>}{<span class="i">$PredecessorVertexID</span>}<span class="sc">;</span>
529 516
530 517 <span class="i">$This</span>-&gt;{<span class="w">VerticesPredecessors</span>}{<span class="i">$VertexID</span>} = <span class="i">$PredecessorVertexID</span><span class="sc">;</span>
531 518 <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VerticesSuccessors</span>}{<span class="i">$PredecessorVertexID</span>}<span class="s">)</span> <span class="s">{</span>
532 519 <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesSuccessors</span>}{<span class="i">$PredecessorVertexID</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
533 520 <span class="s">}</span>
534 521 <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesSuccessors</span>}{<span class="i">$PredecessorVertexID</span>}}<span class="cm">,</span> <span class="i">$VertexID</span><span class="sc">;</span>
535 522
536 523 <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VerticesDepth</span>}{<span class="i">$VertexID</span>}<span class="s">)</span> <span class="s">{</span>
537 524 <span class="i">$This</span>-&gt;{<span class="w">VerticesDepth</span>}{<span class="i">$VertexID</span>} = <span class="i">$This</span>-&gt;{<span class="w">VerticesDepth</span>}{<span class="i">$PredecessorVertexID</span>} + <span class="n">1</span><span class="sc">;</span>
538 525 <span class="s">}</span>
539 526
540 527 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">TraversalMode</span>} =~ <span class="q">/^Path$/i</span><span class="s">)</span> <span class="s">{</span>
541 528 <span class="i">$This</span><span class="i">-&gt;_ProcessVisitedPath</span><span class="s">(</span><span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$PredecessorVertexID</span><span class="s">)</span><span class="sc">;</span>
542 529 <span class="i">$This</span><span class="i">-&gt;_ProcessVisitedEdge</span><span class="s">(</span><span class="i">$PredecessorVertexID</span><span class="cm">,</span> <span class="i">$VertexID</span><span class="s">)</span><span class="sc">;</span>
543 530 <span class="s">}</span>
544 531 <span class="k">elsif</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">TraversalMode</span>} =~ <span class="q">/^VertexNeighborhood$/i</span><span class="s">)</span> <span class="s">{</span>
545 532 <span class="i">$This</span><span class="i">-&gt;_ProcessVisitedEdge</span><span class="s">(</span><span class="i">$PredecessorVertexID</span><span class="cm">,</span> <span class="i">$VertexID</span><span class="s">)</span><span class="sc">;</span>
546 533 <span class="s">}</span>
547 534 <span class="s">}</span>
548 535 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
549 536 <span class="s">}</span>
550 537
551 538 <span class="c"># Process visited path...</span>
552 539 <span class="c">#</span>
553 <a name="_ProcessVisitedPath-"></a> 540 <span class="k">sub </span><span class="m">_ProcessVisitedPath</span> <span class="s">{</span>
554 541 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$PredecessorVertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
555 542
556 543 <span class="c"># Initialize VerticesPath...</span>
557 544 <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VerticesPaths</span>}{<span class="i">$VertexID</span>}<span class="s">)</span> <span class="s">{</span>
558 545 <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesPaths</span>}{<span class="i">$VertexID</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
559 546 <span class="s">}</span>
560 547
561 548 <span class="k">if</span> <span class="s">(</span><span class="i">$VertexID</span> == <span class="i">$PredecessorVertexID</span><span class="s">)</span> <span class="s">{</span>
562 549 <span class="c"># Starting of a path from root...</span>
563 550 <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesPaths</span>}{<span class="i">$VertexID</span>}}<span class="cm">,</span> <span class="i">$VertexID</span><span class="sc">;</span>
564 551 <span class="s">}</span>
565 552 <span class="k">else</span> <span class="s">{</span>
566 553 <span class="c"># Setup path for a vertex using path information from predecessor vertex...</span>
567 554 <span class="k">if</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">CycleClosureVertices</span>}{<span class="i">$PredecessorVertexID</span>}<span class="s">)</span> <span class="s">{</span>
568 555 <span class="c"># Start of a new path from predecessor vertex...</span>
569 556 <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesPaths</span>}{<span class="i">$VertexID</span>}}<span class="cm">,</span> <span class="q">&quot;${PredecessorVertexID}-${VertexID}&quot;</span><span class="sc">;</span>
570 557 <span class="s">}</span>
571 558 <span class="k">else</span> <span class="s">{</span>
572 559 <span class="k">my</span><span class="s">(</span><span class="i">$PredecessorVertexPath</span><span class="s">)</span><span class="sc">;</span>
573 560 <span class="k">for</span> <span class="i">$PredecessorVertexPath</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesPaths</span>}{<span class="i">$PredecessorVertexID</span>}}<span class="s">)</span> <span class="s">{</span>
574 561 <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesPaths</span>}{<span class="i">$VertexID</span>}}<span class="cm">,</span> <span class="q">&quot;${PredecessorVertexPath}-${VertexID}&quot;</span><span class="sc">;</span>
575 562 <span class="s">}</span>
576 563 <span class="s">}</span>
577 564 <span class="s">}</span>
578 565 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
579 566 <span class="s">}</span>
580 567
581 568 <span class="c"># Process visited edge...</span>
582 569 <span class="c">#</span>
583 <a name="_ProcessVisitedEdge-"></a> 570 <span class="k">sub </span><span class="m">_ProcessVisitedEdge</span> <span class="s">{</span>
584 571 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$VertexID1</span><span class="cm">,</span> <span class="i">$VertexID2</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
585 572
586 573 <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VisitedEdges</span>}-&gt;{<span class="w">From</span>}-&gt;{<span class="i">$VertexID1</span>}<span class="s">)</span> <span class="s">{</span>
587 574 <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">VisitedEdges</span>}-&gt;{<span class="w">From</span>}-&gt;{<span class="i">$VertexID1</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
588 575 <span class="s">}</span>
589 576 <span class="i">$This</span>-&gt;{<span class="w">VisitedEdges</span>}-&gt;{<span class="w">From</span>}-&gt;{<span class="i">$VertexID1</span>}-&gt;{<span class="i">$VertexID2</span>} = <span class="i">$VertexID2</span><span class="sc">;</span>
590 577
591 578 <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VisitedEdges</span>}-&gt;{<span class="w">To</span>}-&gt;{<span class="i">$VertexID2</span>}<span class="s">)</span> <span class="s">{</span>
592 579 <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">VisitedEdges</span>}-&gt;{<span class="w">To</span>}-&gt;{<span class="i">$VertexID2</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
593 580 <span class="s">}</span>
594 581 <span class="i">$This</span>-&gt;{<span class="w">VisitedEdges</span>}-&gt;{<span class="w">To</span>}-&gt;{<span class="i">$VertexID2</span>}-&gt;{<span class="i">$VertexID1</span>} = <span class="i">$VertexID1</span><span class="sc">;</span>
595 582
596 583 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
597 584 <span class="s">}</span>
598 585
599 586 <span class="c"># Finished processing active vertex...</span>
600 587 <span class="c">#</span>
601 <a name="_ProcessFinishedVertex-"></a> 588 <span class="k">sub </span><span class="m">_ProcessFinishedVertex</span> <span class="s">{</span>
602 589 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$VertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
603 590
604 591 <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">FinishedVertices</span>}{<span class="i">$VertexID</span>}<span class="s">)</span> <span class="s">{</span>
605 592 <span class="i">$This</span>-&gt;{<span class="w">FinishedVertices</span>}{<span class="i">$VertexID</span>} = <span class="i">$VertexID</span><span class="sc">;</span>
606 593 <span class="c"># Add vertex to list of vertices found by traversal...</span>
607 594 <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="cm">,</span> <span class="i">$VertexID</span><span class="sc">;</span>
608 595 <span class="s">}</span>
609 596
610 597 <span class="c"># Any active vertices left...</span>
611 598 <span class="k">if</span> <span class="s">(</span>!<span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">ActiveVertices</span>}}<span class="s">)</span> <span class="s">{</span>
612 599 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
613 600 <span class="s">}</span>
614 601
615 602 <span class="c"># Take it off active vertices list...</span>
616 603 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">TraversalType</span>} =~ <span class="q">/^(DFS|DFSWithLimit)$/i</span><span class="s">)</span> <span class="s">{</span>
617 604 <span class="c"># For DFS, it&#39;s last vertex in LIFO queue...</span>
618 605 <span class="k">pop</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">ActiveVertices</span>}}<span class="sc">;</span>
619 606 <span class="s">}</span>
620 607 <span class="k">elsif</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">TraversalType</span>} =~ <span class="q">/^(BFS|BFSWithLimit)$/i</span><span class="s">)</span> <span class="s">{</span>
621 608 <span class="c"># For BFS, it&#39;s first vertex in FIFO queue...</span>
622 609 <span class="k">shift</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">ActiveVertices</span>}}<span class="sc">;</span>
623 610 <span class="s">}</span>
624 611 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
625 612 <span class="s">}</span>
626 613
627 614 <span class="c"># Mark all other downstream neighbor vertices to be ignored from any further</span>
628 615 <span class="c"># processing...</span>
629 616 <span class="c">#</span>
630 <a name="_IgnoreDownstreamNeighbors-"></a> 617 <span class="k">sub </span><span class="m">_IgnoreDownstreamNeighbors</span> <span class="s">{</span>
631 618 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$PredecessorVertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
632 619
633 620 <span class="k">if</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VerticesToVisit</span>}{<span class="i">$VertexID</span>}<span class="s">)</span> <span class="s">{</span>
634 621 <span class="c"># Mark vertex as visited vertex and take it out from the list of vertices to visit...</span>
635 622 <span class="i">$This</span>-&gt;{<span class="w">VisitedVertices</span>}{<span class="i">$VertexID</span>} = <span class="n">1</span><span class="sc">;</span>
636 623 <span class="k">delete</span> <span class="i">$This</span>-&gt;{<span class="w">VerticesToVisit</span>}{<span class="i">$VertexID</span>}<span class="sc">;</span>
637 624
638 625 <span class="k">if</span> <span class="s">(</span><span class="k">defined</span><span class="s">(</span><span class="i">$PredecessorVertexID</span><span class="s">)</span> &amp;&amp; <span class="i">$This</span>-&gt;{<span class="w">TraversalMode</span>} =~ <span class="q">/^(Path|VertexNeighborhood)$/i</span><span class="s">)</span> <span class="s">{</span>
639 626 <span class="i">$This</span><span class="i">-&gt;_ProcessVisitedEdge</span><span class="s">(</span><span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$PredecessorVertexID</span><span class="s">)</span><span class="sc">;</span>
640 627 <span class="s">}</span>
641 628 <span class="s">}</span>
642 629 <span class="k">my</span><span class="s">(</span><span class="i">$NeighborVertexID</span><span class="cm">,</span> <span class="i">@NeighborsVertexIDs</span><span class="s">)</span><span class="sc">;</span>
643 630
644 631 <span class="i">@NeighborsVertexIDs</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
645 632 <span class="i">@NeighborsVertexIDs</span> = <span class="i">$This</span>-&gt;{<span class="w">Graph</span>}<span class="i">-&gt;GetNeighbors</span><span class="s">(</span><span class="i">$VertexID</span><span class="s">)</span><span class="sc">;</span>
646 633 <span class="j">NEIGHBOR:</span> <span class="k">for</span> <span class="i">$NeighborVertexID</span> <span class="s">(</span><span class="i">@NeighborsVertexIDs</span><span class="s">)</span> <span class="s">{</span>
647 634 <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VerticesToVisit</span>}{<span class="i">$NeighborVertexID</span>}<span class="s">)</span> <span class="s">{</span>
648 635 <span class="c"># Avoid going back to predecessor vertex which has already been ignored...</span>
649 636 <span class="k">next</span> <span class="j">NEIGHBOR</span><span class="sc">;</span>
650 637 <span class="s">}</span>
651 638 <span class="i">$This</span><span class="i">-&gt;_IgnoreDownstreamNeighbors</span><span class="s">(</span><span class="i">$NeighborVertexID</span><span class="cm">,</span> <span class="i">$VertexID</span><span class="s">)</span><span class="sc">;</span>
652 639 <span class="s">}</span>
653 640 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
654 641 <span class="s">}</span>
655 642
656 643 <span class="c"># Is it a visited edge?</span>
657 644 <span class="c">#</span>
658 <a name="_IsVisitedEdge-"></a> 645 <span class="k">sub </span><span class="m">_IsVisitedEdge</span> <span class="s">{</span>
659 646 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$VertexID1</span><span class="cm">,</span> <span class="i">$VertexID2</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
660 647
661 648 <span class="k">if</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VisitedEdges</span>}-&gt;{<span class="w">From</span>}-&gt;{<span class="i">$VertexID1</span>}<span class="s">)</span> <span class="s">{</span>
662 649 <span class="k">if</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VisitedEdges</span>}-&gt;{<span class="w">From</span>}-&gt;{<span class="i">$VertexID1</span>}-&gt;{<span class="i">$VertexID2</span>}<span class="s">)</span> <span class="s">{</span>
663 650 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span>
664 651 <span class="s">}</span>
665 652 <span class="s">}</span>
666 653 <span class="k">elsif</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VisitedEdges</span>}-&gt;{<span class="w">To</span>}-&gt;{<span class="i">$VertexID2</span>}<span class="s">)</span> <span class="s">{</span>
667 654 <span class="k">if</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VisitedEdges</span>}-&gt;{<span class="w">To</span>}-&gt;{<span class="i">$VertexID2</span>}-&gt;{<span class="i">$VertexID1</span>}<span class="s">)</span> <span class="s">{</span>
668 655 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span>
669 656 <span class="s">}</span>
670 657 <span class="s">}</span>
671 658 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span>
672 659 <span class="s">}</span>
673 660
674 661 <span class="c"># Is it a cycle closure edge?</span>
675 662 <span class="c">#</span>
676 663 <span class="c"># Notes:</span>
677 664 <span class="c"># . Presence of VertexID2 in DFS path traversed for VertexID1 make it a cycle</span>
678 665 <span class="c"># closure edge...</span>
679 666 <span class="c">#</span>
680 <a name="_IsCycleClosureEdge-"></a> 667 <span class="k">sub </span><span class="m">_IsCycleClosureEdge</span> <span class="s">{</span>
681 668 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$VertexID1</span><span class="cm">,</span> <span class="i">$VertexID2</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
682 669
683 670 <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VerticesPaths</span>}{<span class="i">$VertexID1</span>}<span class="s">)</span> <span class="s">{</span>
684 671 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span>
685 672 <span class="s">}</span>
686 673 <span class="k">my</span><span class="s">(</span><span class="i">$Path</span><span class="s">)</span><span class="sc">;</span>
687 674 <span class="k">for</span> <span class="i">$Path</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesPaths</span>}{<span class="i">$VertexID1</span>}}<span class="s">)</span> <span class="s">{</span>
688 675 <span class="k">if</span> <span class="s">(</span><span class="s">(</span><span class="i">$Path</span> =~ <span class="q">/-$VertexID2-/</span> || <span class="i">$Path</span> =~ <span class="q">/^$VertexID2-/</span> || <span class="i">$Path</span> =~ <span class="q">/-$VertexID2$/</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
689 676 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span>
690 677 <span class="s">}</span>
691 678 <span class="s">}</span>
692 679 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span>
693 680 <span class="s">}</span>
694 681
695 682 <span class="c"># Search paths starting from a specified vertex with no sharing of edges in paths traversed.</span>
696 683 <span class="c"># By default, cycles are included in paths. A path containing a cycle is terminated at a vertex</span>
697 684 <span class="c"># completing the cycle.</span>
698 685 <span class="c">#</span>
699 <a name="PerformPathsSearch-"></a> 686 <span class="k">sub </span><span class="m">PerformPathsSearch</span> <span class="s">{</span>
700 687 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="cm">,</span> <span class="i">$AllowCycles</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
701 688
702 689 <span class="c"># Make sure start vertex is defined...</span>
703 690 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$StartVertexID</span><span class="s">)</span> <span class="s">{</span>
704 691 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformPathsSearch: No paths search performed: Start vertex must be specified...&quot;</span><span class="sc">;</span>
705 692 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
706 693 <span class="s">}</span>
707 694
708 695 <span class="c"># Make sure start vertex is valid...</span>
709 696 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span>-&gt;{<span class="w">Graph</span>}<span class="i">-&gt;HasVertex</span><span class="s">(</span><span class="i">$StartVertexID</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
710 697 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformPathsSearch: No paths search performed: Vertex $StartVertexID doesn&#39;t exist...&quot;</span><span class="sc">;</span>
711 698 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
712 699 <span class="s">}</span>
713 700
714 701 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$AllowCycles</span><span class="s">)</span> <span class="s">{</span>
715 702 <span class="i">$AllowCycles</span> = <span class="n">1</span><span class="sc">;</span>
716 703 <span class="s">}</span>
717 704
718 705 <span class="c"># Perform paths search...</span>
719 706 <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_PerformPathsSearch</span><span class="s">(</span><span class="q">&quot;AllLengths&quot;</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="cm">,</span> <span class="i">$AllowCycles</span><span class="s">)</span><span class="sc">;</span>
720 707 <span class="s">}</span>
721 708
722 709 <span class="c"># Search paths starting from a specified vertex with length upto a specified length</span>
723 710 <span class="c"># with no sharing of edges in paths traversed...</span>
724 711 <span class="c">#</span>
725 712 <span class="c"># By default, cycles are included in paths. A path containing a cycle is terminated at a vertex</span>
726 713 <span class="c"># completing the cycle.</span>
727 714 <span class="c">#</span>
728 <a name="PerformPathsSearchWithLengthUpto-"></a> 715 <span class="k">sub </span><span class="m">PerformPathsSearchWithLengthUpto</span> <span class="s">{</span>
729 716 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="cm">,</span> <span class="i">$Length</span><span class="cm">,</span> <span class="i">$AllowCycles</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
730 717
731 718 <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_PerformPathsSearchWithLength</span><span class="s">(</span><span class="q">&quot;LengthUpto&quot;</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="cm">,</span> <span class="i">$Length</span><span class="cm">,</span> <span class="i">$AllowCycles</span><span class="s">)</span><span class="sc">;</span>
732 719 <span class="s">}</span>
733 720
734 721 <span class="c"># Search paths starting from a specified vertex with specified length</span>
735 722 <span class="c"># with no sharing of edges in paths traversed...</span>
736 723 <span class="c">#</span>
737 724 <span class="c"># By default, cycles are included in paths. A path containing a cycle is terminated at a vertex</span>
738 725 <span class="c"># completing the cycle.</span>
739 726 <span class="c">#</span>
740 <a name="PerformPathsSearchWithLength-"></a> 727 <span class="k">sub </span><span class="m">PerformPathsSearchWithLength</span> <span class="s">{</span>
741 728 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="cm">,</span> <span class="i">$Length</span><span class="cm">,</span> <span class="i">$AllowCycles</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
742 729
743 730 <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_PerformPathsSearchWithLength</span><span class="s">(</span><span class="q">&quot;Length&quot;</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="cm">,</span> <span class="i">$Length</span><span class="cm">,</span> <span class="i">$AllowCycles</span><span class="s">)</span><span class="sc">;</span>
744 731 <span class="s">}</span>
745 732
746 733
747 734 <span class="c"># Search paths starting from a specified vertex with length upto a specified length</span>
748 735 <span class="c"># with no sharing of edges in paths traversed...</span>
749 736 <span class="c">#</span>
750 737 <span class="c"># By default, cycles are included in paths. A path containing a cycle is terminated at a vertex</span>
751 738 <span class="c"># completing the cycle.</span>
752 739 <span class="c">#</span>
753 <a name="_PerformPathsSearchWithLength-"></a> 740 <span class="k">sub </span><span class="m">_PerformPathsSearchWithLength</span> <span class="s">{</span>
754 741 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Mode</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="cm">,</span> <span class="i">$Length</span><span class="cm">,</span> <span class="i">$AllowCycles</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
755 742
756 743 <span class="c"># Make sure both start vertex and length are defined...</span>
757 744 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$StartVertexID</span><span class="s">)</span> <span class="s">{</span>
758 745 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;_PerformPathsSearchWithLength: No paths search performed: Start vertex must be specified...&quot;</span><span class="sc">;</span>
759 746 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
760 747 <span class="s">}</span>
761 748 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$Length</span><span class="s">)</span> <span class="s">{</span>
762 749 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;_PerformPathsSearchWithLength: No paths search performed: Length must be specified...&quot;</span><span class="sc">;</span>
763 750 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
764 751 <span class="s">}</span>
765 752
766 753 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$AllowCycles</span><span class="s">)</span> <span class="s">{</span>
767 754 <span class="i">$AllowCycles</span> = <span class="n">1</span><span class="sc">;</span>
768 755 <span class="s">}</span>
769 756
770 757 <span class="c"># Make sure both start vertex and length are valid...</span>
771 758 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span>-&gt;{<span class="w">Graph</span>}<span class="i">-&gt;HasVertex</span><span class="s">(</span><span class="i">$StartVertexID</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
772 759 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;_PerformPathsSearchWithLength: No paths search performed: Vertex $StartVertexID doesn&#39;t exist...&quot;</span><span class="sc">;</span>
773 760 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
774 761 <span class="s">}</span>
775 762
776 763 <span class="k">if</span> <span class="s">(</span><span class="i">$Length</span> &lt; <span class="n">1</span><span class="s">)</span> <span class="s">{</span>
777 764 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;_PerformPathsSearchWithLength: No paths search performed: Specified length, $Length, must be a positive integer with value greater than 1...&quot;</span><span class="sc">;</span>
778 765 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
779 766 <span class="s">}</span>
780 767
781 768 <span class="c"># Perform paths search...</span>
782 769 <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_PerformPathsSearch</span><span class="s">(</span><span class="i">$Mode</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="cm">,</span> <span class="i">$AllowCycles</span><span class="cm">,</span> <span class="i">$Length</span><span class="s">)</span><span class="sc">;</span>
783 770 <span class="s">}</span>
784 771
785 772 <span class="c"># Search all paths starting from a specified vertex with sharing of edges in paths traversed...</span>
786 773 <span class="c"># By default, cycles are included in paths. A path containing a cycle is terminated at a vertex</span>
787 774 <span class="c"># completing the cycle.</span>
788 775 <span class="c">#</span>
789 <a name="PerformAllPathsSearch-"></a> 776 <span class="k">sub </span><span class="m">PerformAllPathsSearch</span> <span class="s">{</span>
790 777 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="cm">,</span> <span class="i">$AllowCycles</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
791 778
792 779 <span class="c"># Make sure start vertex is defined...</span>
793 780 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$StartVertexID</span><span class="s">)</span> <span class="s">{</span>
794 781 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformAllPathsSearch: No paths search performed: Start vertex must be specified...&quot;</span><span class="sc">;</span>
795 782 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
796 783 <span class="s">}</span>
797 784
798 785 <span class="c"># Make sure start vertex is valid...</span>
799 786 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span>-&gt;{<span class="w">Graph</span>}<span class="i">-&gt;HasVertex</span><span class="s">(</span><span class="i">$StartVertexID</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
800 787 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformAllPathsSearch: No paths search performed: Vertex $StartVertexID doesn&#39;t exist...&quot;</span><span class="sc">;</span>
801 788 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
802 789 <span class="s">}</span>
803 790
804 791 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$AllowCycles</span><span class="s">)</span> <span class="s">{</span>
805 792 <span class="i">$AllowCycles</span> = <span class="n">1</span><span class="sc">;</span>
806 793 <span class="s">}</span>
807 794
808 795 <span class="c"># Perform paths search...</span>
809 796 <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_PerformAllPathsSearch</span><span class="s">(</span><span class="q">&quot;AllLengths&quot;</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="cm">,</span> <span class="i">$AllowCycles</span><span class="s">)</span><span class="sc">;</span>
810 797 <span class="s">}</span>
811 798
812 799 <span class="c"># Search all paths starting from a specified vertex with length upto a specified length with sharing of</span>
813 800 <span class="c"># edges in paths traversed.</span>
814 801 <span class="c">#</span>
815 802 <span class="c"># By default, cycles are included in paths. A path containing a cycle is terminated at a vertex</span>
816 803 <span class="c"># completing the cycle.</span>
817 804 <span class="c">#</span>
818 <a name="PerformAllPathsSearchWithLengthUpto-"></a> 805 <span class="k">sub </span><span class="m">PerformAllPathsSearchWithLengthUpto</span> <span class="s">{</span>
819 806 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="cm">,</span> <span class="i">$Length</span><span class="cm">,</span> <span class="i">$AllowCycles</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
820 807
821 808 <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_PerformAllPathsSearchWithLength</span><span class="s">(</span><span class="q">&quot;LengthUpto&quot;</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="cm">,</span> <span class="i">$Length</span><span class="cm">,</span> <span class="i">$AllowCycles</span><span class="s">)</span><span class="sc">;</span>
822 809 <span class="s">}</span>
823 810
824 811 <span class="c"># Search all paths starting from a specified vertex with specified length with sharing of</span>
825 812 <span class="c"># edges in paths traversed.</span>
826 813 <span class="c">#</span>
827 814 <span class="c"># By default, cycles are included in paths. A path containing a cycle is terminated at a vertex</span>
828 815 <span class="c"># completing the cycle.</span>
829 816 <span class="c">#</span>
830 <a name="PerformAllPathsSearchWithLength-"></a> 817 <span class="k">sub </span><span class="m">PerformAllPathsSearchWithLength</span> <span class="s">{</span>
831 818 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="cm">,</span> <span class="i">$Length</span><span class="cm">,</span> <span class="i">$AllowCycles</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
832 819
833 820 <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_PerformAllPathsSearchWithLength</span><span class="s">(</span><span class="q">&quot;Length&quot;</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="cm">,</span> <span class="i">$Length</span><span class="cm">,</span> <span class="i">$AllowCycles</span><span class="s">)</span><span class="sc">;</span>
834 821 <span class="s">}</span>
835 822
836 823 <span class="c"># Search all paths starting from a specified vertex with length upto a specified length with sharing of</span>
837 824 <span class="c"># edges in paths traversed.</span>
838 825 <span class="c">#</span>
839 826 <span class="c"># By default, cycles are included in paths. A path containing a cycle is terminated at a vertex</span>
840 827 <span class="c"># completing the cycle.</span>
841 828 <span class="c">#</span>
842 <a name="_PerformAllPathsSearchWithLength-"></a> 829 <span class="k">sub </span><span class="m">_PerformAllPathsSearchWithLength</span> <span class="s">{</span>
843 830 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Mode</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="cm">,</span> <span class="i">$Length</span><span class="cm">,</span> <span class="i">$AllowCycles</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
844 831
845 832 <span class="c"># Make sure both start vertex and length are defined...</span>
846 833 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$StartVertexID</span><span class="s">)</span> <span class="s">{</span>
847 834 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;_PerformAllPathsSearchWithLength: No paths search performed: Start vertex must be specified...&quot;</span><span class="sc">;</span>
848 835 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
849 836 <span class="s">}</span>
850 837 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$Length</span><span class="s">)</span> <span class="s">{</span>
851 838 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;_PerformAllPathsSearchWithLength: No paths search performed: Length must be specified...&quot;</span><span class="sc">;</span>
852 839 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
853 840 <span class="s">}</span>
854 841
855 842 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$AllowCycles</span><span class="s">)</span> <span class="s">{</span>
856 843 <span class="i">$AllowCycles</span> = <span class="n">1</span><span class="sc">;</span>
857 844 <span class="s">}</span>
858 845
859 846 <span class="c"># Make sure both start vertex and length are valid...</span>
860 847 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span>-&gt;{<span class="w">Graph</span>}<span class="i">-&gt;HasVertex</span><span class="s">(</span><span class="i">$StartVertexID</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
861 848 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;_PerformAllPathsSearchWithLength: No paths search performed: Vertex $StartVertexID doesn&#39;t exist...&quot;</span><span class="sc">;</span>
862 849 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
863 850 <span class="s">}</span>
864 851
865 852 <span class="k">if</span> <span class="s">(</span><span class="i">$Length</span> &lt; <span class="n">1</span><span class="s">)</span> <span class="s">{</span>
866 853 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;_PerformAllPathsSearchWithLength: No paths search performed: Specified length, $Length, must be a positive integer with value greater than 1...&quot;</span><span class="sc">;</span>
867 854 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
868 855 <span class="s">}</span>
869 856
870 857 <span class="c"># Perform paths search...</span>
871 858 <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_PerformAllPathsSearch</span><span class="s">(</span><span class="i">$Mode</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="cm">,</span> <span class="i">$AllowCycles</span><span class="cm">,</span> <span class="i">$Length</span><span class="s">)</span><span class="sc">;</span>
872 859 <span class="s">}</span>
873 860
874 861 <span class="c"># Search paths between two vertices...</span>
875 862 <span class="c">#</span>
876 <a name="PerformPathsSearchBetween-"></a> 863 <span class="k">sub </span><span class="m">PerformPathsSearchBetween</span> <span class="s">{</span>
877 864 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="cm">,</span> <span class="i">$EndVertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
878 865
879 866 <span class="c"># Make sure start and end vertices are defined...</span>
880 867 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$StartVertexID</span><span class="s">)</span> <span class="s">{</span>
881 868 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformPathsSearchBetweeb: No paths search performed: Start vertex must be specified...&quot;</span><span class="sc">;</span>
882 869 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
883 870 <span class="s">}</span>
884 871 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$EndVertexID</span><span class="s">)</span> <span class="s">{</span>
885 872 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformPathsSearchBetweeb: No paths search performed: EndVertex vertex must be specified...&quot;</span><span class="sc">;</span>
886 873 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
887 874 <span class="s">}</span>
888 875 <span class="c"># Make sure start and end vertices are valid...</span>
889 876 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span>-&gt;{<span class="w">Graph</span>}<span class="i">-&gt;HasVertex</span><span class="s">(</span><span class="i">$StartVertexID</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
890 877 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformPathsSearchBetween: No paths search performed: Vertex $StartVertexID doesn&#39;t exist...&quot;</span><span class="sc">;</span>
891 878 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
892 879 <span class="s">}</span>
893 880 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span>-&gt;{<span class="w">Graph</span>}<span class="i">-&gt;HasVertex</span><span class="s">(</span><span class="i">$EndVertexID</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
894 881 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformPathsSearchBetween: No paths search performed: Vertex $EndVertexID doesn&#39;t exist...&quot;</span><span class="sc">;</span>
895 882 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
896 883 <span class="s">}</span>
897 884
898 885 <span class="c"># Perform paths search...</span>
899 886 <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_PerformPathsSearchBetween</span><span class="s">(</span><span class="i">$StartVertexID</span><span class="cm">,</span> <span class="i">$EndVertexID</span><span class="s">)</span><span class="sc">;</span>
900 887 <span class="s">}</span>
901 888
902 889 <span class="c"># Search paths starting from root vertex with no sharing of edges...</span>
903 890 <span class="c">#</span>
904 891 <span class="c"># Notes:</span>
905 892 <span class="c"># . Possible paths searche modes are: DFSPathsWithLimit, DFSPaths. And each</span>
906 893 <span class="c"># of these modes supports any combination of two options: CommonEdges, Cycles.</span>
907 894 <span class="c"># Default for CommonEdges - No; Cycles - No.</span>
908 895 <span class="c">#</span>
909 <a name="_PerformPathsSearch-"></a> 896 <span class="k">sub </span><span class="m">_PerformPathsSearch</span> <span class="s">{</span>
910 897 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Mode</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="cm">,</span> <span class="i">$AllowCycles</span><span class="cm">,</span> <span class="i">$Length</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
911 898
912 899 <span class="c"># Perform DFS path search...</span>
913 900
914 901 <span class="i">$This</span>-&gt;{<span class="w">TraversalMode</span>} = <span class="q">&#39;Path&#39;</span><span class="sc">;</span>
915 902
916 903 <span class="k">if</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^(LengthUpto|Length)$/i</span><span class="s">)</span> <span class="s">{</span>
917 904 <span class="k">my</span><span class="s">(</span><span class="i">$DepthLimit</span><span class="s">)</span><span class="sc">;</span>
918 905
919 906 <span class="i">$DepthLimit</span> = <span class="i">$Length</span> - <span class="n">1</span><span class="sc">;</span>
920 907 <span class="i">$This</span>-&gt;{<span class="w">TraversalType</span>} = <span class="q">&#39;DFSWithLimit&#39;</span><span class="sc">;</span>
921 908 <span class="i">$This</span>-&gt;{<span class="w">DepthLimit</span>} = <span class="i">$DepthLimit</span><span class="sc">;</span>
922 909 <span class="s">}</span>
923 910 <span class="k">else</span> <span class="s">{</span>
924 911 <span class="i">$This</span>-&gt;{<span class="w">TraversalType</span>} = <span class="q">&#39;DFS&#39;</span><span class="sc">;</span>
925 912 <span class="s">}</span>
926 913 <span class="k">if</span> <span class="s">(</span><span class="k">defined</span> <span class="i">$RootVertexID</span><span class="s">)</span> <span class="s">{</span>
927 914 <span class="i">$This</span>-&gt;{<span class="w">RootVertex</span>} = <span class="i">$RootVertexID</span><span class="sc">;</span>
928 915 <span class="s">}</span>
929 916
930 917 <span class="i">$This</span>-&gt;{<span class="w">AllowPathCycles</span>} = <span class="i">$AllowCycles</span><span class="sc">;</span>
931 918
932 919 <span class="c"># Perform search...</span>
933 920 <span class="i">$This</span><span class="i">-&gt;_TraverseGraph</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
934 921
935 922 <span class="c"># Make sure traversal did get the root vertex...</span>
936 923 <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VerticesDepth</span>}{<span class="i">$RootVertexID</span>}<span class="s">)</span> <span class="s">{</span>
937 924 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
938 925 <span class="s">}</span>
939 926 <span class="k">if</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^Length$/i</span><span class="s">)</span> <span class="s">{</span>
940 927 <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Paths</span>}}<span class="cm">,</span> <span class="i">$This</span><span class="i">-&gt;_CollectPathsTraversedDuringPathsSearchWithLength</span><span class="s">(</span><span class="i">$Length</span><span class="s">)</span><span class="sc">;</span>
941 928 <span class="s">}</span>
942 929 <span class="k">else</span> <span class="s">{</span>
943 930 <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Paths</span>}}<span class="cm">,</span> <span class="i">$This</span><span class="i">-&gt;_CollectPathsTraversedDuringPathsSearch</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
944 931 <span class="s">}</span>
945 932
946 933 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
947 934 <span class="s">}</span>
948 935
949 936 <span class="c"># Search all paths starting from root vertex with sharing of edges...</span>
950 937 <span class="c">#</span>
951 <a name="_PerformAllPathsSearch-"></a> 938 <span class="k">sub </span><span class="m">_PerformAllPathsSearch</span> <span class="s">{</span>
952 939 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Mode</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="cm">,</span> <span class="i">$AllowCycles</span><span class="cm">,</span> <span class="i">$Length</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
953 940
954 941 <span class="c"># Perform DFS path search...</span>
955 942
956 943 <span class="i">$This</span>-&gt;{<span class="w">TraversalMode</span>} = <span class="q">&#39;AllPaths&#39;</span><span class="sc">;</span>
957 944
958 945 <span class="k">if</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^(LengthUpto|Length)$/i</span><span class="s">)</span> <span class="s">{</span>
959 946 <span class="k">my</span><span class="s">(</span><span class="i">$DepthLimit</span><span class="s">)</span><span class="sc">;</span>
960 947
961 948 <span class="i">$DepthLimit</span> = <span class="i">$Length</span> - <span class="n">1</span><span class="sc">;</span>
962 949 <span class="i">$This</span>-&gt;{<span class="w">TraversalType</span>} = <span class="q">&#39;DFSWithLimit&#39;</span><span class="sc">;</span>
963 950 <span class="i">$This</span>-&gt;{<span class="w">DepthLimit</span>} = <span class="i">$DepthLimit</span><span class="sc">;</span>
964 951 <span class="s">}</span>
965 952 <span class="k">else</span> <span class="s">{</span>
966 953 <span class="i">$This</span>-&gt;{<span class="w">TraversalType</span>} = <span class="q">&#39;DFS&#39;</span><span class="sc">;</span>
967 954 <span class="s">}</span>
968 955 <span class="i">$This</span>-&gt;{<span class="w">RootVertex</span>} = <span class="i">$RootVertexID</span><span class="sc">;</span>
969 956 <span class="i">$This</span>-&gt;{<span class="w">AllowPathCycles</span>} = <span class="i">$AllowCycles</span><span class="sc">;</span>
970 957
971 958 <span class="c"># Traverse all paths search using DFS search...</span>
972 959 <span class="i">$This</span><span class="i">-&gt;_TraverseAllPathsInGraph</span><span class="s">(</span><span class="i">$Mode</span><span class="cm">,</span> <span class="i">$Length</span><span class="s">)</span><span class="sc">;</span>
973 960
974 961 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
975 962 <span class="s">}</span>
976 963
977 964 <span class="c"># Travese all paths in graph starting from a specified root vertex...</span>
978 965 <span class="c">#</span>
979 <a name="_TraverseAllPathsInGraph-"></a> 966 <span class="k">sub </span><span class="m">_TraverseAllPathsInGraph</span> <span class="s">{</span>
980 967 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Mode</span><span class="cm">,</span> <span class="i">$Length</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
981 968
982 969 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">TraversalMode</span>} !~ <span class="q">/^AllPaths$/i</span><span class="s">)</span> <span class="s">{</span>
983 970 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
984 971 <span class="s">}</span>
985 972 <span class="k">my</span><span class="s">(</span><span class="i">$CurrentVertexID</span><span class="cm">,</span> <span class="i">$PredecessorVertexID</span><span class="cm">,</span> <span class="i">$CurrentDepth</span><span class="cm">,</span> <span class="i">$CurrentPath</span><span class="s">)</span><span class="sc">;</span>
986 973
987 974 <span class="i">$CurrentVertexID</span> = <span class="i">$This</span>-&gt;{<span class="w">RootVertex</span>}<span class="sc">;</span>
988 975 <span class="i">$PredecessorVertexID</span> = <span class="i">$CurrentVertexID</span><span class="sc">;</span>
989 976 <span class="i">$CurrentDepth</span> = <span class="n">0</span><span class="sc">;</span>
990 977 <span class="i">$CurrentPath</span> = <span class="q">&quot;$CurrentVertexID&quot;</span><span class="sc">;</span>
991 978
992 979 <span class="i">$This</span><span class="i">-&gt;_TraverseAllPaths</span><span class="s">(</span><span class="i">$CurrentVertexID</span><span class="cm">,</span> <span class="i">$PredecessorVertexID</span><span class="cm">,</span> <span class="i">$CurrentDepth</span><span class="cm">,</span> <span class="i">$CurrentPath</span><span class="s">)</span><span class="sc">;</span>
993 980
994 981 <span class="k">if</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^Length$/i</span><span class="s">)</span> <span class="s">{</span>
995 982 <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Paths</span>}}<span class="cm">,</span> <span class="i">$This</span><span class="i">-&gt;_CollectPathsTraversedDuringPathsSearchWithLength</span><span class="s">(</span><span class="i">$Length</span><span class="s">)</span><span class="sc">;</span>
996 983 <span class="s">}</span>
997 984 <span class="k">else</span> <span class="s">{</span>
998 985 <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Paths</span>}}<span class="cm">,</span> <span class="i">$This</span><span class="i">-&gt;_CollectPathsTraversedDuringPathsSearch</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
999 986 <span class="s">}</span>
1000 987
1001 988 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
1002 989 <span class="s">}</span>
1003 990
1004 991 <span class="c"># Traverse and collect all paths recuresively..</span>
1005 992 <span class="c">#</span>
1006 <a name="_TraverseAllPaths-"></a> 993 <span class="k">sub </span><span class="m">_TraverseAllPaths</span> <span class="s">{</span>
1007 994 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$CurrentVertexID</span><span class="cm">,</span> <span class="i">$PredecessorVertexID</span><span class="cm">,</span> <span class="i">$CurrentDepth</span><span class="cm">,</span> <span class="i">$CurrentPath</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1008 995
1009 996 <span class="c"># Save path traversed for current vertex..</span>
1010 997 <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VerticesPaths</span>}{<span class="i">$CurrentVertexID</span>}<span class="s">)</span> <span class="s">{</span>
1011 998 <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesPaths</span>}{<span class="i">$CurrentVertexID</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1012 999 <span class="i">$This</span>-&gt;{<span class="w">VerticesDepth</span>}{<span class="i">$CurrentVertexID</span>} = <span class="n">0</span><span class="sc">;</span>
1013 1000 <span class="s">}</span>
1014 1001 <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesPaths</span>}{<span class="i">$CurrentVertexID</span>}}<span class="cm">,</span> <span class="i">$CurrentPath</span><span class="sc">;</span>
1015 1002 <span class="i">$This</span>-&gt;{<span class="w">VerticesDepth</span>}{<span class="i">$CurrentVertexID</span>} = <span class="i">$CurrentDepth</span><span class="sc">;</span>
1016 1003
1017 1004 <span class="i">$CurrentDepth</span>++<span class="sc">;</span>
1018 1005 <span class="k">if</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">DepthLimit</span>}<span class="s">)</span> <span class="s">{</span>
1019 1006 <span class="k">if</span> <span class="s">(</span><span class="i">$CurrentDepth</span> &gt; <span class="i">$This</span>-&gt;{<span class="w">DepthLimit</span>}<span class="s">)</span> <span class="s">{</span>
1020 1007 <span class="c"># Nothing more to do...</span>
1021 1008 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
1022 1009 <span class="s">}</span>
1023 1010 <span class="s">}</span>
1024 1011 <span class="k">my</span><span class="s">(</span><span class="i">$NeighborVertexID</span><span class="cm">,</span> <span class="i">$NewPath</span><span class="s">)</span><span class="sc">;</span>
1025 1012
1026 1013 <span class="j">NEIGHBOR:</span> <span class="k">for</span> <span class="i">$NeighborVertexID</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">Graph</span>}<span class="i">-&gt;GetNeighbors</span><span class="s">(</span><span class="i">$CurrentVertexID</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
1027 1014 <span class="k">if</span> <span class="s">(</span><span class="i">$NeighborVertexID</span> == <span class="i">$PredecessorVertexID</span><span class="s">)</span> <span class="s">{</span>
1028 1015 <span class="k">next</span> <span class="j">NEIGHBOR</span><span class="sc">;</span>
1029 1016 <span class="s">}</span>
1030 1017 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span><span class="i">-&gt;_IsVertexInTraversedPath</span><span class="s">(</span><span class="i">$NeighborVertexID</span><span class="cm">,</span> <span class="i">$CurrentPath</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
1031 1018 <span class="c"># It&#39;s a cycle...</span>
1032 1019 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">AllowPathCycles</span>}<span class="s">)</span> <span class="s">{</span>
1033 1020 <span class="i">$NewPath</span> = <span class="q">&quot;${CurrentPath}-${NeighborVertexID}&quot;</span><span class="sc">;</span>
1034 1021 <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VerticesPaths</span>}{<span class="i">$NeighborVertexID</span>}<span class="s">)</span> <span class="s">{</span>
1035 1022 <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesPaths</span>}{<span class="i">$NeighborVertexID</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1036 1023 <span class="s">}</span>
1037 1024 <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesPaths</span>}{<span class="i">$NeighborVertexID</span>}}<span class="cm">,</span> <span class="i">$NewPath</span><span class="sc">;</span>
1038 1025 <span class="s">}</span>
1039 1026 <span class="k">next</span> <span class="j">NEIGHBOR</span><span class="sc">;</span>
1040 1027 <span class="s">}</span>
1041 1028 <span class="i">$NewPath</span> = <span class="q">&quot;${CurrentPath}-${NeighborVertexID}&quot;</span><span class="sc">;</span>
1042 1029 <span class="i">$This</span><span class="i">-&gt;_TraverseAllPaths</span><span class="s">(</span><span class="i">$NeighborVertexID</span><span class="cm">,</span> <span class="i">$CurrentVertexID</span><span class="cm">,</span> <span class="i">$CurrentDepth</span><span class="cm">,</span> <span class="i">$NewPath</span><span class="s">)</span><span class="sc">;</span>
1043 1030 <span class="s">}</span>
1044 1031 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
1045 1032 <span class="s">}</span>
1046 1033
1047 1034 <span class="c"># Is vertex already in traversed path?</span>
1048 1035 <span class="c">#</span>
1049 <a name="_IsVertexInTraversedPath-"></a>1036 <span class="k">sub </span><span class="m">_IsVertexInTraversedPath</span> <span class="s">{</span>
1050 1037 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$Path</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1051 1038
1052 1039 <span class="k">return</span> <span class="s">(</span><span class="i">$Path</span> =~ <span class="q">/-$VertexID-/</span> || <span class="i">$Path</span> =~ <span class="q">/^$VertexID-/</span> || <span class="i">$Path</span> =~ <span class="q">/-$VertexID$/</span><span class="s">)</span> ? <span class="n">1</span> <span class="co">:</span> <span class="n">0</span><span class="sc">;</span>
1053 1040 <span class="s">}</span>
1054 1041
1055 1042 <span class="c"># Collect all paths traversed during Path TraversalMode and sort &#39;em in</span>
1056 1043 <span class="c"># ascending order of lengths</span>
1057 1044 <span class="c">#</span>
1058 <a name="_CollectPathsTraversedDuringPathsSearch-"></a>1045 <span class="k">sub </span><span class="m">_CollectPathsTraversedDuringPathsSearch</span> <span class="s">{</span>
1059 1046 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1060 1047 <span class="k">my</span><span class="s">(</span><span class="i">$VertexID</span><span class="cm">,</span> <span class="i">@Paths</span><span class="cm">,</span> <span class="i">@SortedPaths</span><span class="s">)</span><span class="sc">;</span>
1061 1048
1062 1049 <span class="i">@Paths</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> <span class="i">@SortedPaths</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1063 1050
1064 1051 <span class="c"># Create path objects from path vertex strings...</span>
1065 1052 <span class="k">for</span> <span class="i">$VertexID</span> <span class="s">(</span><span class="k">keys</span> <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesPaths</span>}}<span class="s">)</span> <span class="s">{</span>
1066 1053 <span class="k">push</span> <span class="i">@Paths</span><span class="cm">,</span> <span class="k">map</span> <span class="s">{</span> <span class="i">new</span> <span class="i">Graph::Path</span><span class="s">(</span><span class="k">split</span> <span class="q">/-/</span><span class="cm">,</span> <span class="i">$_</span><span class="s">)</span> <span class="s">}</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesPaths</span>}{<span class="i">$VertexID</span>}}<span class="sc">;</span>
1067 1054 <span class="s">}</span>
1068 1055
1069 1056 <span class="c"># Sort paths in ascending order of lengths...</span>
1070 1057 <span class="k">push</span> <span class="i">@SortedPaths</span><span class="cm">,</span> <span class="k">sort</span> <span class="s">{</span> <span class="i">$a</span><span class="i">-&gt;GetLength</span><span class="s">(</span><span class="s">)</span> &lt;=&gt; <span class="i">$b</span><span class="i">-&gt;GetLength</span><span class="s">(</span><span class="s">)</span> <span class="s">}</span> <span class="i">@Paths</span><span class="sc">;</span>
1071 1058
1072 1059 <span class="k">return</span> <span class="i">@SortedPaths</span><span class="sc">;</span>
1073 1060 <span class="s">}</span>
1074 1061
1075 1062 <span class="c"># Collect paths traversed during Path TraversalMode with specific length...</span>
1076 1063 <span class="c">#</span>
1077 <a name="_CollectPathsTraversedDuringPathsSearchWithLength-"></a>1064 <span class="k">sub </span><span class="m">_CollectPathsTraversedDuringPathsSearchWithLength</span> <span class="s">{</span>
1078 1065 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Length</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1079 1066 <span class="k">my</span><span class="s">(</span><span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$Depth</span><span class="cm">,</span> <span class="i">$PathString</span><span class="cm">,</span> <span class="i">@VertexIDs</span><span class="cm">,</span> <span class="i">@Paths</span><span class="s">)</span><span class="sc">;</span>
1080 1067
1081 1068 <span class="i">@Paths</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1082 1069 <span class="i">$Depth</span> = <span class="i">$Length</span> - <span class="n">1</span><span class="sc">;</span>
1083 1070
1084 1071 <span class="c"># Create path objects from path vertex strings...</span>
1085 1072 <span class="j">VERTEXID:</span> <span class="k">for</span> <span class="i">$VertexID</span> <span class="s">(</span><span class="k">keys</span> <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesPaths</span>}}<span class="s">)</span> <span class="s">{</span>
1086 1073 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">VerticesDepth</span>}{<span class="i">$VertexID</span>} != <span class="i">$Depth</span><span class="s">)</span> <span class="s">{</span>
1087 1074 <span class="k">next</span> <span class="j">VERTEXID</span><span class="sc">;</span>
1088 1075 <span class="s">}</span>
1089 1076 <span class="c"># For vertices involved in cycles, the path might also contain some shorter paths. So check</span>
1090 1077 <span class="c"># the lengths before its collection...</span>
1091 1078 <span class="j">PATHSTRING:</span> <span class="k">for</span> <span class="i">$PathString</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesPaths</span>}{<span class="i">$VertexID</span>}}<span class="s">)</span> <span class="s">{</span>
1092 1079 <span class="i">@VertexIDs</span> = <span class="k">split</span> <span class="q">/-/</span><span class="cm">,</span> <span class="i">$PathString</span><span class="sc">;</span>
1093 1080 <span class="k">if</span> <span class="s">(</span><span class="i">$Length</span> != <span class="i">@VertexIDs</span><span class="s">)</span> <span class="s">{</span>
1094 1081 <span class="k">next</span> <span class="j">PATHSTRING</span><span class="sc">;</span>
1095 1082 <span class="s">}</span>
1096 1083 <span class="k">push</span> <span class="i">@Paths</span><span class="cm">,</span> <span class="i">new</span> <span class="i">Graph::Path</span><span class="s">(</span><span class="i">@VertexIDs</span><span class="s">)</span><span class="sc">;</span>
1097 1084 <span class="s">}</span>
1098 1085 <span class="s">}</span>
1099 1086 <span class="k">return</span> <span class="i">@Paths</span><span class="sc">;</span>
1100 1087 <span class="s">}</span>
1101 1088
1102 1089 <span class="c"># Collect paths traversed during Vertex TraversalMode...</span>
1103 1090 <span class="c">#</span>
1104 <a name="_CollectPathsTraversedDuringVertexSearch-"></a>1091 <span class="k">sub </span><span class="m">_CollectPathsTraversedDuringVertexSearch</span> <span class="s">{</span>
1105 1092 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1106 1093 <span class="k">my</span><span class="s">(</span><span class="i">$Depth</span><span class="cm">,</span> <span class="i">@Paths</span><span class="cm">,</span> <span class="i">@VerticesAtDepth</span><span class="s">)</span><span class="sc">;</span>
1107 1094 <span class="i">@Paths</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1108 1095
1109 1096 <span class="c"># Get vertices at specific depths...</span>
1110 1097 <span class="i">@VerticesAtDepth</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1111 1098 <span class="i">@VerticesAtDepth</span> = <span class="i">$This</span><span class="i">-&gt;_CollectVerticesAtSpecificDepths</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1112 1099 <span class="k">if</span> <span class="s">(</span>!<span class="i">@VerticesAtDepth</span><span class="s">)</span> <span class="s">{</span>
1113 1100 <span class="k">return</span> <span class="i">@Paths</span><span class="sc">;</span>
1114 1101 <span class="s">}</span>
1115 1102
1116 1103 <span class="c"># Make sure search found only one root vertex and it corresponds to</span>
1117 1104 <span class="c"># what was specified...</span>
1118 1105 <span class="i">$Depth</span> = <span class="n">0</span><span class="sc">;</span>
1119 1106 <span class="k">if</span> <span class="s">(</span><span class="s">(</span><span class="i">@</span>{<span class="i">$VerticesAtDepth</span>[<span class="i">$Depth</span>]} &gt; <span class="n">1</span><span class="s">)</span> || <span class="s">(</span><span class="i">$VerticesAtDepth</span>[<span class="i">$Depth</span>][<span class="n">0</span>] != <span class="i">$RootVertexID</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
1120 1107 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;_PerformPathsSearch: No paths found: Root vertex, $VerticesAtDepth[$Depth][0], identified by paths traversal doen&#39;t match specified root vertex $RootVertexID...&quot;</span><span class="sc">;</span>
1121 1108 <span class="k">return</span> <span class="i">@Paths</span><span class="sc">;</span>
1122 1109 <span class="s">}</span>
1123 1110
1124 1111 <span class="c"># Setup root vertex at depth 0. And set its path...</span>
1125 1112 <span class="k">my</span><span class="s">(</span><span class="i">$Path</span><span class="cm">,</span> <span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$SuccessorVertexID</span><span class="cm">,</span> <span class="i">@VertexIDs</span><span class="cm">,</span> <span class="i">%PathAtVertex</span><span class="s">)</span><span class="sc">;</span>
1126 1113 <span class="i">%PathAtVertex</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1127 1114 <span class="i">$PathAtVertex</span>{<span class="i">$RootVertexID</span>} = <span class="i">new</span> <span class="i">Graph::Path</span><span class="s">(</span><span class="i">$RootVertexID</span><span class="s">)</span><span class="sc">;</span>
1128 1115
1129 1116 <span class="k">for</span> <span class="i">$Depth</span> <span class="s">(</span><span class="n">0</span> .. <span class="i">$#VerticesAtDepth</span><span class="s">)</span> <span class="s">{</span>
1130 1117 <span class="c"># Go over all vertices at current depth...</span>
1131 1118 <span class="j">VERTEX:</span> <span class="k">for</span> <span class="i">$VertexID</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$VerticesAtDepth</span>[<span class="i">$Depth</span>]}<span class="s">)</span> <span class="s">{</span>
1132 1119 <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VerticesSuccessors</span>}{<span class="i">$VertexID</span>}<span class="s">)</span> <span class="s">{</span>
1133 1120 <span class="k">next</span> <span class="j">VERTEX</span><span class="sc">;</span>
1134 1121 <span class="s">}</span>
1135 1122 <span class="c"># Get vertices for current path...</span>
1136 1123 <span class="i">@VertexIDs</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1137 1124 <span class="k">push</span> <span class="i">@VertexIDs</span><span class="cm">,</span> <span class="i">$PathAtVertex</span>{<span class="i">$VertexID</span>}<span class="i">-&gt;GetVertices</span><span class="sc">;</span>
1138 1125
1139 1126 <span class="c"># Expand path to successor vertex found during traversal...</span>
1140 1127 <span class="k">for</span> <span class="i">$SuccessorVertexID</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesSuccessors</span>}{<span class="i">$VertexID</span>}}<span class="s">)</span> <span class="s">{</span>
1141 1128 <span class="i">$Path</span> = <span class="i">new</span> <span class="i">Graph::Path</span><span class="s">(</span><span class="i">@VertexIDs</span><span class="s">)</span><span class="sc">;</span>
1142 1129 <span class="i">$Path</span><span class="i">-&gt;AddVertex</span><span class="s">(</span><span class="i">$SuccessorVertexID</span><span class="s">)</span><span class="sc">;</span>
1143 1130 <span class="i">$PathAtVertex</span>{<span class="i">$SuccessorVertexID</span>} = <span class="i">$Path</span><span class="sc">;</span>
1144 1131 <span class="s">}</span>
1145 1132 <span class="s">}</span>
1146 1133 <span class="s">}</span>
1147 1134 <span class="c"># Sort paths in ascending order of lengths...</span>
1148 1135 <span class="k">push</span> <span class="i">@Paths</span><span class="cm">,</span> <span class="k">sort</span> <span class="s">{</span> <span class="i">$a</span><span class="i">-&gt;GetLength</span><span class="s">(</span><span class="s">)</span> &lt;=&gt; <span class="i">$b</span><span class="i">-&gt;GetLength</span><span class="s">(</span><span class="s">)</span> <span class="s">}</span> <span class="k">values</span> <span class="i">%PathAtVertex</span><span class="sc">;</span>
1149 1136
1150 1137 <span class="k">return</span> <span class="i">@Paths</span><span class="sc">;</span>
1151 1138 <span class="s">}</span>
1152 1139
1153 1140 <span class="c"># Collect vertices at specific depths. Depth values start from 0...</span>
1154 1141 <span class="c">#</span>
1155 <a name="_CollectVerticesAtSpecificDepths-"></a>1142 <span class="k">sub </span><span class="m">_CollectVerticesAtSpecificDepths</span> <span class="s">{</span>
1156 1143 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1157 1144 <span class="k">my</span><span class="s">(</span><span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$Depth</span><span class="cm">,</span> <span class="i">@VerticesAtDepth</span><span class="s">)</span><span class="sc">;</span>
1158 1145
1159 1146 <span class="i">@VerticesAtDepth</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1160 1147 <span class="k">while</span> <span class="s">(</span><span class="s">(</span><span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$Depth</span><span class="s">)</span> = <span class="k">each</span> <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesDepth</span>}}<span class="s">)</span> <span class="s">{</span>
1161 1148 <span class="k">push</span> <span class="i">@</span>{<span class="i">$VerticesAtDepth</span>[<span class="i">$Depth</span>]}<span class="cm">,</span> <span class="i">$VertexID</span><span class="sc">;</span>
1162 1149 <span class="s">}</span>
1163 1150 <span class="k">return</span> <span class="i">@VerticesAtDepth</span><span class="sc">;</span>
1164 1151 <span class="s">}</span>
1165 1152
1166 1153 <span class="c"># Collect vertices, along with their successors, at specific depths and return a list containing references to</span>
1167 1154 <span class="c"># lists with first value corresponding to vertex ID and second value a reference to a list containing</span>
1168 1155 <span class="c"># its successors.</span>
1169 1156 <span class="c">#</span>
1170 1157 <span class="c"># Depth values start from 0...</span>
1171 1158 <span class="c">#</span>
1172 <a name="_CollectVerticesWithSuccessorsAtSpecificDepths-"></a>1159 <span class="k">sub </span><span class="m">_CollectVerticesWithSuccessorsAtSpecificDepths</span> <span class="s">{</span>
1173 1160 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1174 1161 <span class="k">my</span><span class="s">(</span><span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$Depth</span><span class="cm">,</span> <span class="i">@VerticesWithSuccessorsAtDepth</span><span class="s">)</span><span class="sc">;</span>
1175 1162
1176 1163 <span class="i">@VerticesWithSuccessorsAtDepth</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1177 1164 <span class="k">while</span> <span class="s">(</span><span class="s">(</span><span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$Depth</span><span class="s">)</span> = <span class="k">each</span> <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesDepth</span>}}<span class="s">)</span> <span class="s">{</span>
1178 1165 <span class="k">my</span><span class="s">(</span><span class="i">@VertexWithSuccessors</span><span class="cm">,</span> <span class="i">@VertexSuccessors</span><span class="s">)</span><span class="sc">;</span>
1179 1166
1180 1167 <span class="i">@VertexWithSuccessors</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> <span class="i">@VertexSuccessors</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1181 1168 <span class="k">if</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VerticesSuccessors</span>}{<span class="i">$VertexID</span>}<span class="s">)</span> <span class="s">{</span>
1182 1169 <span class="k">push</span> <span class="i">@VertexSuccessors</span><span class="cm">,</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesSuccessors</span>}{<span class="i">$VertexID</span>}}<span class="sc">;</span>
1183 1170 <span class="s">}</span>
1184 1171 <span class="k">push</span> <span class="i">@VertexWithSuccessors</span><span class="cm">,</span> <span class="s">(</span><span class="i">$VertexID</span><span class="cm">,</span> \<span class="i">@VertexSuccessors</span><span class="s">)</span><span class="sc">;</span>
1185 1172 <span class="c"># Multiple entries for a vertex and its successors could be present at a specific depth...</span>
1186 1173 <span class="k">push</span> <span class="i">@</span>{<span class="i">$VerticesWithSuccessorsAtDepth</span>[<span class="i">$Depth</span>]}<span class="cm">,</span> \<span class="i">@VertexWithSuccessors</span><span class="sc">;</span>
1187 1174 <span class="s">}</span>
1188 1175 <span class="k">return</span> <span class="i">@VerticesWithSuccessorsAtDepth</span><span class="sc">;</span>
1189 1176 <span class="s">}</span>
1190 1177
1191 1178 <span class="c"># Search paths between two vertices...</span>
1192 1179 <span class="c">#</span>
1193 <a name="_PerformPathsSearchBetween-"></a>1180 <span class="k">sub </span><span class="m">_PerformPathsSearchBetween</span> <span class="s">{</span>
1194 1181 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="cm">,</span> <span class="i">$TargetVertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1195 1182 <span class="k">my</span><span class="s">(</span><span class="i">$DepthLimit</span><span class="s">)</span><span class="sc">;</span>
1196 1183
1197 1184 <span class="c"># Perform a targeted DFS search...</span>
1198 1185 <span class="i">$DepthLimit</span> = <span class="k">undef</span><span class="sc">;</span>
1199 1186 <span class="i">$This</span><span class="i">-&gt;_PerformVertexSearch</span><span class="s">(</span><span class="q">&quot;DFS&quot;</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="cm">,</span> <span class="i">$DepthLimit</span><span class="cm">,</span> <span class="i">$TargetVertexID</span><span class="s">)</span><span class="sc">;</span>
1200 1187
1201 1188 <span class="k">my</span><span class="s">(</span><span class="i">$Path</span><span class="s">)</span><span class="sc">;</span>
1202 1189 <span class="i">$Path</span> = <span class="i">$This</span><span class="i">-&gt;_CollectPathBetween</span><span class="s">(</span><span class="i">$RootVertexID</span><span class="cm">,</span> <span class="i">$TargetVertexID</span><span class="s">)</span><span class="sc">;</span>
1203 1190
1204 1191 <span class="k">if</span> <span class="s">(</span><span class="k">defined</span> <span class="i">$Path</span><span class="s">)</span> <span class="s">{</span>
1205 1192 <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Paths</span>}}<span class="cm">,</span> <span class="i">$Path</span><span class="sc">;</span>
1206 1193 <span class="s">}</span>
1207 1194 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
1208 1195 <span class="s">}</span>
1209 1196
1210 1197 <span class="c"># Collect path between root and target vertex after the search...</span>
1211 1198 <span class="c">#</span>
1212 <a name="_CollectPathBetween-"></a>1199 <span class="k">sub </span><span class="m">_CollectPathBetween</span> <span class="s">{</span>
1213 1200 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="cm">,</span> <span class="i">$TargetVertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1214 1201
1215 1202 <span class="c"># Does a path from root to target vertex exist?</span>
1216 1203 <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="k">exists</span><span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">VerticesRoots</span>}{<span class="i">$TargetVertexID</span>}<span class="s">)</span> &amp;&amp; <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">VerticesRoots</span>}{<span class="i">$TargetVertexID</span>} == <span class="i">$RootVertexID</span><span class="s">)</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
1217 1204 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
1218 1205 <span class="s">}</span>
1219 1206
1220 1207 <span class="c"># Add target vertex ID path vertices...</span>
1221 1208 <span class="k">my</span><span class="s">(</span><span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$Path</span><span class="cm">,</span> <span class="i">@VertexIDs</span><span class="s">)</span><span class="sc">;</span>
1222 1209 <span class="i">@VertexIDs</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1223 1210 <span class="i">$VertexID</span> = <span class="i">$TargetVertexID</span><span class="sc">;</span>
1224 1211 <span class="k">push</span> <span class="i">@VertexIDs</span><span class="cm">,</span> <span class="i">$VertexID</span><span class="sc">;</span>
1225 1212
1226 1213 <span class="c"># Backtrack to root vertex ID...</span>
1227 1214 <span class="k">while</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">VerticesPredecessors</span>}{<span class="i">$VertexID</span>} != <span class="i">$VertexID</span><span class="s">)</span> <span class="s">{</span>
1228 1215 <span class="i">$VertexID</span> = <span class="i">$This</span>-&gt;{<span class="w">VerticesPredecessors</span>}{<span class="i">$VertexID</span>}<span class="sc">;</span>
1229 1216 <span class="k">push</span> <span class="i">@VertexIDs</span><span class="cm">,</span> <span class="i">$VertexID</span><span class="sc">;</span>
1230 1217 <span class="s">}</span>
1231 1218
1232 1219 <span class="c"># Create path from target to root and reverse it...</span>
1233 1220 <span class="i">$Path</span> = <span class="i">new</span> <span class="i">Graph::Path</span><span class="s">(</span><span class="i">@VertexIDs</span><span class="s">)</span><span class="sc">;</span>
1234 1221 <span class="i">$Path</span><span class="i">-&gt;Reverse</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1235 1222
1236 1223 <span class="k">return</span> <span class="i">$Path</span><span class="sc">;</span>
1237 1224 <span class="s">}</span>
1238 1225
1239 1226 <span class="c"># Search vertices around specified root vertex with in specific neighborhood radius...</span>
1240 1227 <span class="c">#</span>
1241 <a name="PerformNeighborhoodVerticesSearchWithRadiusUpto-"></a>1228 <span class="k">sub </span><span class="m">PerformNeighborhoodVerticesSearchWithRadiusUpto</span> <span class="s">{</span>
1242 1229 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="cm">,</span> <span class="i">$Radius</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1243 1230
1244 1231 <span class="c"># Make sure both start vertex and radius are defined...</span>
1245 1232 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$StartVertexID</span><span class="s">)</span> <span class="s">{</span>
1246 1233 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformNeighborhoodVerticesSearchWithRadiusUpto: No vertices search performed: Start vertex must be specified...&quot;</span><span class="sc">;</span>
1247 1234 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
1248 1235 <span class="s">}</span>
1249 1236 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$Radius</span><span class="s">)</span> <span class="s">{</span>
1250 1237 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformNeighborhoodVerticesSearchWithRadiusUpto: No vertices search performed: Radius must be specified...&quot;</span><span class="sc">;</span>
1251 1238 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
1252 1239 <span class="s">}</span>
1253 1240
1254 1241 <span class="c"># Make sure both start vertex and length are valid...</span>
1255 1242 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span>-&gt;{<span class="w">Graph</span>}<span class="i">-&gt;HasVertex</span><span class="s">(</span><span class="i">$StartVertexID</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
1256 1243 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformNeighborhoodVerticesSearchWithRadiusUpto: No vertices search performed: Vertex $StartVertexID doesn&#39;t exist...&quot;</span><span class="sc">;</span>
1257 1244 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
1258 1245 <span class="s">}</span>
1259 1246 <span class="k">if</span> <span class="s">(</span><span class="i">$Radius</span> &lt; <span class="n">0</span><span class="s">)</span> <span class="s">{</span>
1260 1247 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformNeighborhoodVerticesSearchWithRadiusUpto: No vertices search performed: Specified radius, $Radius, must be a positive integer...&quot;</span><span class="sc">;</span>
1261 1248 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
1262 1249 <span class="s">}</span>
1263 1250
1264 1251 <span class="c"># Perform vertices search...</span>
1265 1252 <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_PerformNeighborhoodVerticesSearch</span><span class="s">(</span><span class="q">&quot;RadiusUpto&quot;</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="cm">,</span> <span class="i">$Radius</span><span class="s">)</span><span class="sc">;</span>
1266 1253 <span class="s">}</span>
1267 1254
1268 1255 <span class="c"># Search vertices around specified root vertex...</span>
1269 1256 <span class="c">#</span>
1270 <a name="PerformNeighborhoodVerticesSearch-"></a>1257 <span class="k">sub </span><span class="m">PerformNeighborhoodVerticesSearch</span> <span class="s">{</span>
1271 1258 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1272 1259
1273 1260 <span class="c"># Make sure start vertex is defined...</span>
1274 1261 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$StartVertexID</span><span class="s">)</span> <span class="s">{</span>
1275 1262 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformNeighborhoodVerticesSearch: No vertices search performed: Start vertex must be specified...&quot;</span><span class="sc">;</span>
1276 1263 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
1277 1264 <span class="s">}</span>
1278 1265
1279 1266 <span class="c"># Make sure start vertex is valid...</span>
1280 1267 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span>-&gt;{<span class="w">Graph</span>}<span class="i">-&gt;HasVertex</span><span class="s">(</span><span class="i">$StartVertexID</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
1281 1268 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformNeighborhoodVerticesSearch: No vertices search performed: Vertex $StartVertexID doesn&#39;t exist...&quot;</span><span class="sc">;</span>
1282 1269 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
1283 1270 <span class="s">}</span>
1284 1271 <span class="c"># Perform vertices search...</span>
1285 1272 <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_PerformNeighborhoodVerticesSearch</span><span class="s">(</span><span class="q">&quot;AllRadii&quot;</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="s">)</span><span class="sc">;</span>
1286 1273 <span class="s">}</span>
1287 1274
1288 1275 <span class="c"># Search vertices around specified root vertex with in specific neighborhood radius along with</span>
1289 1276 <span class="c"># identification of successors of each vertex found during the search...</span>
1290 1277 <span class="c">#</span>
1291 <a name="PerformNeighborhoodVerticesSearchWithSuccessorsAndRadiusUpto-"></a>1278 <span class="k">sub </span><span class="m">PerformNeighborhoodVerticesSearchWithSuccessorsAndRadiusUpto</span> <span class="s">{</span>
1292 1279 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="cm">,</span> <span class="i">$Radius</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1293 1280
1294 1281 <span class="c"># Make sure both start vertex and radius are defined...</span>
1295 1282 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$StartVertexID</span><span class="s">)</span> <span class="s">{</span>
1296 1283 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformNeighborhoodVerticesSearchWithSuccessorsAndRadiusUpto: No vertices search performed: Start vertex must be specified...&quot;</span><span class="sc">;</span>
1297 1284 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
1298 1285 <span class="s">}</span>
1299 1286 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$Radius</span><span class="s">)</span> <span class="s">{</span>
1300 1287 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformNeighborhoodVerticesSearchWithSuccessorsAndRadiusUpto: No vertices search performed: Radius must be specified...&quot;</span><span class="sc">;</span>
1301 1288 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
1302 1289 <span class="s">}</span>
1303 1290
1304 1291 <span class="c"># Make sure both start vertex and length are valid...</span>
1305 1292 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span>-&gt;{<span class="w">Graph</span>}<span class="i">-&gt;HasVertex</span><span class="s">(</span><span class="i">$StartVertexID</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
1306 1293 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformNeighborhoodVerticesSearchWithSuccessorsAndRadiusUpto: No vertices search performed: Vertex $StartVertexID doesn&#39;t exist...&quot;</span><span class="sc">;</span>
1307 1294 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
1308 1295 <span class="s">}</span>
1309 1296 <span class="k">if</span> <span class="s">(</span><span class="i">$Radius</span> &lt; <span class="n">0</span><span class="s">)</span> <span class="s">{</span>
1310 1297 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformNeighborhoodVerticesSearchWithSuccessorsAndRadiusUpto: No vertices search performed: Specified radius, $Radius, must be a positive integer...&quot;</span><span class="sc">;</span>
1311 1298 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
1312 1299 <span class="s">}</span>
1313 1300
1314 1301 <span class="c"># Perform vertices search...</span>
1315 1302 <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_PerformNeighborhoodVerticesSearch</span><span class="s">(</span><span class="q">&quot;WithSuccessorsAndRadiusUpto&quot;</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="cm">,</span> <span class="i">$Radius</span><span class="s">)</span><span class="sc">;</span>
1316 1303 <span class="s">}</span>
1317 1304
1318 1305 <span class="c"># Search vertices around specified root vertex along with identification of</span>
1319 1306 <span class="c"># successors of each vertex found during the search...</span>
1320 1307 <span class="c">#</span>
1321 <a name="PerformNeighborhoodVerticesSearchWithSuccessors-"></a>1308 <span class="k">sub </span><span class="m">PerformNeighborhoodVerticesSearchWithSuccessors</span> <span class="s">{</span>
1322 1309 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1323 1310
1324 1311 <span class="c"># Make sure start vertex is defined...</span>
1325 1312 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$StartVertexID</span><span class="s">)</span> <span class="s">{</span>
1326 1313 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformNeighborhoodVerticesSearchWithSuccessors: No vertices search performed: Start vertex must be specified...&quot;</span><span class="sc">;</span>
1327 1314 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
1328 1315 <span class="s">}</span>
1329 1316
1330 1317 <span class="c"># Make sure start vertex is valid...</span>
1331 1318 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span>-&gt;{<span class="w">Graph</span>}<span class="i">-&gt;HasVertex</span><span class="s">(</span><span class="i">$StartVertexID</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
1332 1319 <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PerformNeighborhoodVerticesSearchWithSuccessors: No vertices search performed: Vertex $StartVertexID doesn&#39;t exist...&quot;</span><span class="sc">;</span>
1333 1320 <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
1334 1321 <span class="s">}</span>
1335 1322 <span class="c"># Perform vertices search...</span>
1336 1323 <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_PerformNeighborhoodVerticesSearch</span><span class="s">(</span><span class="q">&quot;WithSuccessorsAndAllRadii&quot;</span><span class="cm">,</span> <span class="i">$StartVertexID</span><span class="s">)</span><span class="sc">;</span>
1337 1324 <span class="s">}</span>
1338 1325
1339 1326 <span class="c"># Search vertices at successive neighborhood radii levels...</span>
1340 1327 <span class="c">#</span>
1341 <a name="_PerformNeighborhoodVerticesSearch-"></a>1328 <span class="k">sub </span><span class="m">_PerformNeighborhoodVerticesSearch</span> <span class="s">{</span>
1342 1329 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Mode</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="cm">,</span> <span class="i">$Radius</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1343 1330 <span class="k">my</span><span class="s">(</span><span class="i">$DepthLimit</span><span class="cm">,</span> <span class="i">$AllowCycles</span><span class="s">)</span><span class="sc">;</span>
1344 1331
1345 1332 <span class="i">$DepthLimit</span> = <span class="k">defined</span> <span class="i">$Radius</span> ? <span class="i">$Radius</span> <span class="co">:</span> <span class="k">undef</span><span class="sc">;</span>
1346 1333 <span class="i">$AllowCycles</span> = <span class="k">undef</span><span class="sc">;</span>
1347 1334
1348 1335 <span class="c"># Perform BFS search...</span>
1349 1336 <span class="k">if</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^RadiusUpto$/i</span><span class="s">)</span> <span class="s">{</span>
1350 1337 <span class="i">$This</span><span class="i">-&gt;_PerformVertexNeighborhoodSearch</span><span class="s">(</span><span class="q">&quot;BFSWithLimit&quot;</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="cm">,</span> <span class="i">$DepthLimit</span><span class="s">)</span><span class="sc">;</span>
1351 1338 <span class="s">}</span>
1352 1339 <span class="k">elsif</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^(AllRadii)$/i</span><span class="s">)</span> <span class="s">{</span>
1353 1340 <span class="i">$This</span><span class="i">-&gt;_PerformVertexNeighborhoodSearch</span><span class="s">(</span><span class="q">&quot;BFS&quot;</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="s">)</span><span class="sc">;</span>
1354 1341 <span class="s">}</span>
1355 1342 <span class="k">elsif</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^WithSuccessorsAndRadiusUpto$/i</span><span class="s">)</span> <span class="s">{</span>
1356 1343 <span class="i">$AllowCycles</span> = <span class="n">1</span><span class="sc">;</span>
1357 1344 <span class="i">$This</span><span class="i">-&gt;_PerformVertexNeighborhoodSearch</span><span class="s">(</span><span class="q">&quot;BFSWithLimit&quot;</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="cm">,</span> <span class="i">$DepthLimit</span><span class="cm">,</span> <span class="i">$AllowCycles</span><span class="s">)</span><span class="sc">;</span>
1358 1345 <span class="s">}</span>
1359 1346 <span class="k">elsif</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^WithSuccessorsAndAllRadii$/i</span><span class="s">)</span> <span class="s">{</span>
1360 1347 <span class="i">$AllowCycles</span> = <span class="n">1</span><span class="sc">;</span>
1361 1348 <span class="i">$This</span><span class="i">-&gt;_PerformVertexNeighborhoodSearch</span><span class="s">(</span><span class="q">&quot;BFSWithLimit&quot;</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="cm">,</span> <span class="i">$DepthLimit</span><span class="cm">,</span> <span class="i">$AllowCycles</span><span class="s">)</span><span class="sc">;</span>
1362 1349 <span class="s">}</span>
1363 1350
1364 1351 <span class="c"># Make sure traversal did get the root vertex...</span>
1365 1352 <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">VerticesDepth</span>}{<span class="i">$RootVertexID</span>}<span class="s">)</span> <span class="s">{</span>
1366 1353 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
1367 1354 <span class="s">}</span>
1368 1355
1369 1356 <span class="k">if</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^(RadiusUpto|AllRadii)$/i</span><span class="s">)</span> <span class="s">{</span>
1370 1357 <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesNeighborhoods</span>}}<span class="cm">,</span> <span class="i">$This</span><span class="i">-&gt;_CollectVerticesAtSpecificDepths</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1371 1358 <span class="s">}</span>
1372 1359 <span class="k">elsif</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^(WithSuccessorsAndRadiusUpto|WithSuccessorsAndAllRadii)$/i</span><span class="s">)</span> <span class="s">{</span>
1373 1360 <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesNeighborhoodsWithSuccessors</span>}}<span class="cm">,</span> <span class="i">$This</span><span class="i">-&gt;_CollectVerticesWithSuccessorsAtSpecificDepths</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1374 1361 <span class="s">}</span>
1375 1362
1376 1363 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
1377 1364 <span class="s">}</span>
1378 1365
1379 1366 <span class="c"># Perform appropriate vertex search...</span>
1380 1367 <span class="c">#</span>
1381 <a name="_PerformVertexNeighborhoodSearch-"></a>1368 <span class="k">sub </span><span class="m">_PerformVertexNeighborhoodSearch</span> <span class="s">{</span>
1382 1369 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$SearchType</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="cm">,</span> <span class="i">$DepthLimit</span><span class="cm">,</span> <span class="i">$AllowCycles</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1383 1370
1384 1371 <span class="c"># Setup search...</span>
1385 1372 <span class="i">$This</span>-&gt;{<span class="w">TraversalMode</span>} = <span class="q">&#39;VertexNeighborhood&#39;</span><span class="sc">;</span>
1386 1373 <span class="i">$This</span>-&gt;{<span class="w">TraversalType</span>} = <span class="i">$SearchType</span><span class="sc">;</span>
1387 1374
1388 1375 <span class="k">if</span> <span class="s">(</span><span class="k">defined</span> <span class="i">$RootVertexID</span><span class="s">)</span> <span class="s">{</span>
1389 1376 <span class="i">$This</span>-&gt;{<span class="w">RootVertex</span>} = <span class="i">$RootVertexID</span><span class="sc">;</span>
1390 1377 <span class="s">}</span>
1391 1378 <span class="k">if</span> <span class="s">(</span><span class="k">defined</span> <span class="i">$DepthLimit</span><span class="s">)</span> <span class="s">{</span>
1392 1379 <span class="i">$This</span>-&gt;{<span class="w">DepthLimit</span>} = <span class="i">$DepthLimit</span><span class="sc">;</span>
1393 1380 <span class="s">}</span>
1394 1381 <span class="k">if</span> <span class="s">(</span><span class="k">defined</span> <span class="i">$AllowCycles</span><span class="s">)</span> <span class="s">{</span>
1395 1382 <span class="i">$This</span>-&gt;{<span class="w">AllowVertexCycles</span>} = <span class="i">$AllowCycles</span><span class="sc">;</span>
1396 1383 <span class="s">}</span>
1397 1384
1398 1385 <span class="c"># Perform search...</span>
1399 1386 <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_TraverseGraph</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1400 1387 <span class="s">}</span>
1401 1388
1402 1389 <span class="c"># Get orderded list of vertices after DFS/BFS search...</span>
1403 1390 <span class="c">#</span>
1404 <a name="GetVertices-"></a>1391 <span class="k">sub </span><span class="m">GetVertices</span> <span class="s">{</span>
1405 1392 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1406 1393
1407 1394 <span class="k">return</span> <span class="k">wantarray</span> ? <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}} <span class="co">:</span> <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="sc">;</span>
1408 1395 <span class="s">}</span>
1409 1396
1410 1397 <span class="c"># Get a hash list containing vertex and root vertex as key/value pair for all vertices</span>
1411 1398 <span class="c"># ordered using DFS/BFS search available via GetVertices method...</span>
1412 1399 <span class="c">#</span>
1413 <a name="GetVerticesRoots-"></a>1400 <span class="k">sub </span><span class="m">GetVerticesRoots</span> <span class="s">{</span>
1414 1401 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1415 1402
1416 1403 <span class="k">return</span> <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesRoots</span>}}<span class="sc">;</span>
1417 1404 <span class="s">}</span>
1418 1405
1419 1406 <span class="c"># Get a list containing lists of vertices in connected components of graph after DFS/BFS</span>
1420 1407 <span class="c"># search...</span>
1421 1408 <span class="c">#</span>
1422 1409 <span class="c"># Note:</span>
1423 1410 <span class="c"># . List is sorted in descending order of number of vertices in each connected component.</span>
1424 1411 <span class="c">#</span>
1425 <a name="GetConnectedComponentsVertices-"></a>1412 <span class="k">sub </span><span class="m">GetConnectedComponentsVertices</span> <span class="s">{</span>
1426 1413 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1427 1414 <span class="k">my</span><span class="s">(</span><span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$VertexRoot</span><span class="cm">,</span> <span class="i">@ConnectedVertices</span><span class="cm">,</span> <span class="i">%VerticesAtRoot</span><span class="s">)</span><span class="sc">;</span>
1428 1415
1429 1416 <span class="i">@ConnectedVertices</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1430 1417 <span class="i">%VerticesAtRoot</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1431 1418 <span class="k">for</span> <span class="i">$VertexID</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="s">)</span> <span class="s">{</span>
1432 1419 <span class="i">$VertexRoot</span> = <span class="i">$This</span>-&gt;{<span class="w">VerticesRoots</span>}{<span class="i">$VertexID</span>}<span class="sc">;</span>
1433 1420 <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$VerticesAtRoot</span>{<span class="i">$VertexRoot</span>}<span class="s">)</span> <span class="s">{</span>
1434 1421 <span class="i">@</span>{<span class="i">$VerticesAtRoot</span>{<span class="i">$VertexRoot</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1435 1422 <span class="s">}</span>
1436 1423 <span class="k">push</span> <span class="i">@</span>{<span class="i">$VerticesAtRoot</span>{<span class="i">$VertexRoot</span>}}<span class="cm">,</span> <span class="i">$VertexID</span><span class="sc">;</span>
1437 1424 <span class="s">}</span>
1438 1425 <span class="k">push</span> <span class="i">@ConnectedVertices</span><span class="cm">,</span> <span class="k">sort</span> <span class="s">{</span> <span class="i">@</span>{<span class="i">$b</span>} &lt;=&gt; <span class="i">@</span>{<span class="i">$a</span>} <span class="s">}</span> <span class="k">values</span> <span class="i">%VerticesAtRoot</span><span class="sc">;</span>
1439 1426
1440 1427 <span class="k">return</span> <span class="k">wantarray</span> ? <span class="i">@ConnectedVertices</span> <span class="co">:</span> <span class="k">scalar</span> <span class="i">@ConnectedVertices</span><span class="sc">;</span>
1441 1428 <span class="s">}</span>
1442 1429
1443 1430 <span class="c"># Get predecessor vertices...</span>
1444 1431 <span class="c">#</span>
1445 <a name="GetVerticesPredecessors-"></a>1432 <span class="k">sub </span><span class="m">GetVerticesPredecessors</span> <span class="s">{</span>
1446 1433 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1447 1434
1448 1435 <span class="k">return</span> <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesPredecessors</span>}}<span class="sc">;</span>
1449 1436 <span class="s">}</span>
1450 1437
1451 1438 <span class="c"># Get a hash list containing vertex and depth from root vertex as key/value pair for all vertices</span>
1452 1439 <span class="c"># ordered using DFS/BFS search available via GetVertices method...</span>
1453 1440 <span class="c">#</span>
1454 <a name="GetVerticesDepth-"></a>1441 <span class="k">sub </span><span class="m">GetVerticesDepth</span> <span class="s">{</span>
1455 1442 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1456 1443
1457 1444 <span class="k">return</span> <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesDepth</span>}}<span class="sc">;</span>
1458 1445 <span class="s">}</span>
1459 1446
1460 1447 <span class="c"># Get paths found during paths search...</span>
1461 1448 <span class="c">#</span>
1462 <a name="GetPaths-"></a>1449 <span class="k">sub </span><span class="m">GetPaths</span> <span class="s">{</span>
1463 1450 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1464 1451
1465 1452 <span class="k">return</span> <span class="k">wantarray</span> ? <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Paths</span>}} <span class="co">:</span> <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Paths</span>}}<span class="sc">;</span>
1466 1453 <span class="s">}</span>
1467 1454
1468 1455 <span class="c"># Get vertices collected at various neighborhood radii...</span>
1469 1456 <span class="c">#</span>
1470 <a name="GetVerticesNeighborhoods-"></a>1457 <span class="k">sub </span><span class="m">GetVerticesNeighborhoods</span> <span class="s">{</span>
1471 1458 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1472 1459
1473 1460 <span class="k">return</span> <span class="k">wantarray</span> ? <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesNeighborhoods</span>}} <span class="co">:</span> <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesNeighborhoods</span>}}<span class="sc">;</span>
1474 1461 <span class="s">}</span>
1475 1462
1476 1463 <span class="c"># Get vertices, along with their successor vertices, collected at various neighborhood radii as</span>
1477 1464 <span class="c"># a list containing references to lists with first value corresponding to vertex ID and second value</span>
1478 1465 <span class="c"># a reference to a list containing its successors.</span>
1479 1466 <span class="c">#</span>
1480 <a name="GetVerticesNeighborhoodsWithSuccessors-"></a>1467 <span class="k">sub </span><span class="m">GetVerticesNeighborhoodsWithSuccessors</span> <span class="s">{</span>
1481 1468 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1482 1469
1483 1470 <span class="k">return</span> <span class="k">wantarray</span> ? <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesNeighborhoodsWithSuccessors</span>}} <span class="co">:</span> <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesNeighborhoodsWithSuccessors</span>}}<span class="sc">;</span>
1484 1471 <span class="s">}</span>
1485 1472
1486 1473 <span class="c"># Return a string containg data for PathsTraversal object...</span>
1487 <a name="StringifyPathsTraversal-"></a>1474 <span class="k">sub </span><span class="m">StringifyPathsTraversal</span> <span class="s">{</span>
1488 1475 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1489 1476 <span class="k">my</span><span class="s">(</span><span class="i">$PathsTraversalString</span><span class="s">)</span><span class="sc">;</span>
1490 1477
1491 1478 <span class="i">$PathsTraversalString</span> = <span class="q">&quot;PathsTraversalMode: &quot;</span> . <span class="i">$This</span>-&gt;{<span class="w">TraversalMode</span>}<span class="sc">;</span>
1492 1479 <span class="i">$PathsTraversalString</span> .= <span class="q">&quot;; PathsTraversalType: &quot;</span> . <span class="i">$This</span>-&gt;{<span class="w">TraversalType</span>}<span class="sc">;</span>
1493 1480
1494 1481 <span class="c"># Vertices ordered by traversal...</span>
1495 1482 <span class="i">$PathsTraversalString</span> .= <span class="q">&quot;; Vertices: &quot;</span> . <span class="k">join</span><span class="s">(</span><span class="q">&#39; &#39;</span><span class="cm">,</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="s">)</span><span class="sc">;</span>
1496 1483
1497 1484 <span class="c"># Stringify depths of vertices...</span>
1498 1485 <span class="i">$PathsTraversalString</span> .= <span class="q">&quot;; &quot;</span> . <span class="i">$This</span><span class="i">-&gt;StringifyVerticesDepth</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1499 1486
1500 1487 <span class="c"># Stringify roots of vertices...</span>
1501 1488 <span class="i">$PathsTraversalString</span> .= <span class="q">&quot;; &quot;</span> . <span class="i">$This</span><span class="i">-&gt;StringifyVerticesRoots</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1502 1489
1503 1490 <span class="c"># Stringify predecessor of vertices...</span>
1504 1491 <span class="i">$PathsTraversalString</span> .= <span class="q">&quot;; &quot;</span> . <span class="i">$This</span><span class="i">-&gt;StringifyVerticesPredecessors</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1505 1492
1506 1493 <span class="c"># Stringify successor vertices...</span>
1507 1494 <span class="i">$PathsTraversalString</span> .= <span class="q">&quot;; &quot;</span> . <span class="i">$This</span><span class="i">-&gt;StringifyVerticesSuccessors</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1508 1495
1509 1496 <span class="c"># Stringify paths...</span>
1510 1497 <span class="i">$PathsTraversalString</span> .= <span class="q">&quot;; &quot;</span> . <span class="i">$This</span><span class="i">-&gt;StringifyPaths</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1511 1498
1512 1499 <span class="c"># Stringify vertices neighborhoods...</span>
1513 1500 <span class="i">$PathsTraversalString</span> .= <span class="q">&quot;; &quot;</span> . <span class="i">$This</span><span class="i">-&gt;StringifyVerticesNeighborhoods</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1514 1501
1515 1502 <span class="c"># Stringify vertices neighborhoods with successors...</span>
1516 1503 <span class="i">$PathsTraversalString</span> .= <span class="q">&quot;; &quot;</span> . <span class="i">$This</span><span class="i">-&gt;StringifyVerticesNeighborhoodsWithSuccessors</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1517 1504
1518 1505 <span class="k">return</span> <span class="i">$PathsTraversalString</span><span class="sc">;</span>
1519 1506 <span class="s">}</span>
1520 1507
1521 1508 <span class="c"># Stringify vertices depth...</span>
1522 1509 <span class="c">#</span>
1523 <a name="StringifyVerticesDepth-"></a>1510 <span class="k">sub </span><span class="m">StringifyVerticesDepth</span> <span class="s">{</span>
1524 1511 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1525 1512 <span class="k">my</span><span class="s">(</span><span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$VertexDepth</span><span class="cm">,</span> <span class="i">$DepthString</span><span class="s">)</span><span class="sc">;</span>
1526 1513
1527 1514 <span class="k">if</span> <span class="s">(</span>!<span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="s">)</span> <span class="s">{</span>
1528 1515 <span class="i">$DepthString</span> = <span class="q">&quot;&lt;Vertex-Depth&gt;: None&quot;</span><span class="sc">;</span>
1529 1516 <span class="k">return</span> <span class="i">$DepthString</span><span class="sc">;</span>
1530 1517 <span class="s">}</span>
1531 1518
1532 1519 <span class="i">$DepthString</span> = <span class="q">&quot;&lt;Vertex-Depth&gt;: &quot;</span><span class="sc">;</span>
1533 1520 <span class="k">for</span> <span class="i">$VertexID</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="s">)</span> <span class="s">{</span>
1534 1521 <span class="i">$VertexDepth</span> = <span class="i">$This</span>-&gt;{<span class="w">VerticesDepth</span>}{<span class="i">$VertexID</span>}<span class="sc">;</span>
1535 1522 <span class="i">$DepthString</span> .= <span class="q">&quot; &lt;$VertexID-$VertexDepth&gt;&quot;</span><span class="sc">;</span>
1536 1523 <span class="s">}</span>
1537 1524 <span class="k">return</span> <span class="i">$DepthString</span><span class="sc">;</span>
1538 1525 <span class="s">}</span>
1539 1526
1540 1527 <span class="c"># Stringify roots of vertices...</span>
1541 1528 <span class="c">#</span>
1542 <a name="StringifyVerticesRoots-"></a>1529 <span class="k">sub </span><span class="m">StringifyVerticesRoots</span> <span class="s">{</span>
1543 1530 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1544 1531 <span class="k">my</span><span class="s">(</span><span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$RootVertexID</span><span class="cm">,</span> <span class="i">$RootsString</span><span class="s">)</span><span class="sc">;</span>
1545 1532
1546 1533 <span class="k">if</span> <span class="s">(</span>!<span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="s">)</span> <span class="s">{</span>
1547 1534 <span class="i">$RootsString</span> = <span class="q">&quot;&lt;Vertex-RootVertex&gt;: None&quot;</span><span class="sc">;</span>
1548 1535 <span class="k">return</span> <span class="i">$RootsString</span><span class="sc">;</span>
1549 1536 <span class="s">}</span>
1550 1537
1551 1538 <span class="i">$RootsString</span> = <span class="q">&quot;&lt;Vertex-RootVertex&gt;: &quot;</span><span class="sc">;</span>
1552 1539 <span class="k">for</span> <span class="i">$VertexID</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="s">)</span> <span class="s">{</span>
1553 1540 <span class="i">$RootVertexID</span> = <span class="i">$This</span>-&gt;{<span class="w">VerticesRoots</span>}{<span class="i">$VertexID</span>}<span class="sc">;</span>
1554 1541 <span class="i">$RootsString</span> .= <span class="q">&quot; &lt;$VertexID-$RootVertexID&gt;&quot;</span><span class="sc">;</span>
1555 1542 <span class="s">}</span>
1556 1543 <span class="k">return</span> <span class="i">$RootsString</span><span class="sc">;</span>
1557 1544 <span class="s">}</span>
1558 1545
1559 1546 <span class="c"># Stringify predecessor of vertices...</span>
1560 1547 <span class="c">#</span>
1561 <a name="StringifyVerticesPredecessors-"></a>1548 <span class="k">sub </span><span class="m">StringifyVerticesPredecessors</span> <span class="s">{</span>
1562 1549 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1563 1550 <span class="k">my</span><span class="s">(</span><span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$PredecessorVertexID</span><span class="cm">,</span> <span class="i">$PredecessorString</span><span class="s">)</span><span class="sc">;</span>
1564 1551
1565 1552 <span class="k">if</span> <span class="s">(</span>!<span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="s">)</span> <span class="s">{</span>
1566 1553 <span class="i">$PredecessorString</span> = <span class="q">&quot;&lt;Vertex-PredecessorVertex&gt;: None&quot;</span><span class="sc">;</span>
1567 1554 <span class="k">return</span> <span class="i">$PredecessorString</span><span class="sc">;</span>
1568 1555 <span class="s">}</span>
1569 1556
1570 1557 <span class="i">$PredecessorString</span> = <span class="q">&quot;&lt;Vertex-PredecessorVertex&gt;: &quot;</span><span class="sc">;</span>
1571 1558 <span class="k">for</span> <span class="i">$VertexID</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="s">)</span> <span class="s">{</span>
1572 1559 <span class="i">$PredecessorVertexID</span> = <span class="i">$This</span>-&gt;{<span class="w">VerticesPredecessors</span>}{<span class="i">$VertexID</span>}<span class="sc">;</span>
1573 1560 <span class="i">$PredecessorString</span> .= <span class="q">&quot; &lt;$VertexID-$PredecessorVertexID&gt;&quot;</span><span class="sc">;</span>
1574 1561 <span class="s">}</span>
1575 1562 <span class="k">return</span> <span class="i">$PredecessorString</span><span class="sc">;</span>
1576 1563 <span class="s">}</span>
1577 1564
1578 1565 <span class="c"># Stringify successor vertices...</span>
1579 1566 <span class="c">#</span>
1580 <a name="StringifyVerticesSuccessors-"></a>1567 <span class="k">sub </span><span class="m">StringifyVerticesSuccessors</span> <span class="s">{</span>
1581 1568 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1582 1569 <span class="k">my</span><span class="s">(</span><span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$SuccessorString</span><span class="cm">,</span> <span class="i">$VerticesSuccessorsString</span><span class="s">)</span><span class="sc">;</span>
1583 1570
1584 1571 <span class="k">if</span> <span class="s">(</span>!<span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="s">)</span> <span class="s">{</span>
1585 1572 <span class="i">$SuccessorString</span> = <span class="q">&quot;&lt;Vertex-VerticesSuccessorsList&gt;: None&quot;</span><span class="sc">;</span>
1586 1573 <span class="k">return</span> <span class="i">$SuccessorString</span><span class="sc">;</span>
1587 1574 <span class="s">}</span>
1588 1575
1589 1576 <span class="i">$SuccessorString</span> = <span class="q">&quot;&lt;Vertex-VerticesSuccessorsList&gt;: &quot;</span><span class="sc">;</span>
1590 1577 <span class="k">for</span> <span class="i">$VertexID</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="s">)</span> <span class="s">{</span>
1591 1578 <span class="k">if</span> <span class="s">(</span><span class="k">exists</span><span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">VerticesSuccessors</span>}{<span class="i">$VertexID</span>}<span class="s">)</span> &amp;&amp; <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesSuccessors</span>}{<span class="i">$VertexID</span>}}<span class="s">)</span> <span class="s">{</span>
1592 1579 <span class="i">$VerticesSuccessorsString</span> = <span class="k">join</span><span class="s">(</span><span class="q">&#39;,&#39;</span><span class="cm">,</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesSuccessors</span>}{<span class="i">$VertexID</span>}}<span class="s">)</span><span class="sc">;</span>
1593 1580 <span class="s">}</span>
1594 1581 <span class="k">else</span> <span class="s">{</span>
1595 1582 <span class="i">$VerticesSuccessorsString</span> = <span class="q">&quot;None&quot;</span><span class="sc">;</span>
1596 1583 <span class="s">}</span>
1597 1584 <span class="i">$SuccessorString</span> .= <span class="q">&quot; &lt;$VertexID-$VerticesSuccessorsString&gt;&quot;</span><span class="sc">;</span>
1598 1585 <span class="s">}</span>
1599 1586 <span class="k">return</span> <span class="i">$SuccessorString</span><span class="sc">;</span>
1600 1587 <span class="s">}</span>
1601 1588
1602 1589 <span class="c"># Strinigify paths...</span>
1603 1590 <span class="c">#</span>
1604 <a name="StringifyPaths-"></a>1591 <span class="k">sub </span><span class="m">StringifyPaths</span> <span class="s">{</span>
1605 1592 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1606 1593 <span class="k">my</span><span class="s">(</span><span class="i">$PathsString</span><span class="cm">,</span> <span class="i">$Path</span><span class="s">)</span><span class="sc">;</span>
1607 1594
1608 1595 <span class="k">if</span> <span class="s">(</span>!<span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Paths</span>}}<span class="s">)</span> <span class="s">{</span>
1609 1596 <span class="i">$PathsString</span> = <span class="q">&quot;Paths: None&quot;</span><span class="sc">;</span>
1610 1597 <span class="k">return</span> <span class="i">$PathsString</span><span class="sc">;</span>
1611 1598 <span class="s">}</span>
1612 1599
1613 1600 <span class="k">my</span><span class="s">(</span><span class="i">$FirstPath</span><span class="s">)</span><span class="sc">;</span>
1614 1601 <span class="i">$PathsString</span> = <span class="q">&quot;Paths: &quot;</span><span class="sc">;</span>
1615 1602 <span class="i">$FirstPath</span> = <span class="n">1</span><span class="sc">;</span>
1616 1603 <span class="k">for</span> <span class="i">$Path</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Paths</span>}}<span class="s">)</span> <span class="s">{</span>
1617 1604 <span class="k">if</span> <span class="s">(</span><span class="i">$FirstPath</span><span class="s">)</span> <span class="s">{</span>
1618 1605 <span class="i">$FirstPath</span> = <span class="n">0</span><span class="sc">;</span>
1619 1606 <span class="s">}</span>
1620 1607 <span class="k">else</span> <span class="s">{</span>
1621 1608 <span class="i">$PathsString</span> .= <span class="q">&quot; &quot;</span><span class="sc">;</span>
1622 1609 <span class="s">}</span>
1623 1610 <span class="i">$PathsString</span> .= <span class="q">&quot;&lt;&quot;</span> . <span class="k">join</span><span class="s">(</span><span class="q">&#39;-&#39;</span><span class="cm">,</span> <span class="i">$Path</span><span class="i">-&gt;GetVertices</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> . <span class="q">&quot;&gt;&quot;</span><span class="sc">;</span>
1624 1611 <span class="s">}</span>
1625 1612 <span class="k">return</span> <span class="i">$PathsString</span><span class="sc">;</span>
1626 1613 <span class="s">}</span>
1627 1614
1628 1615 <span class="c"># Strinigify vertices neighborhoods...</span>
1629 1616 <span class="c">#</span>
1630 <a name="StringifyVerticesNeighborhoods-"></a>1617 <span class="k">sub </span><span class="m">StringifyVerticesNeighborhoods</span> <span class="s">{</span>
1631 1618 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1632 1619 <span class="k">my</span><span class="s">(</span><span class="i">$NeighborhoodsString</span><span class="cm">,</span> <span class="i">$NeighborhoodVerticesString</span><span class="cm">,</span> <span class="i">$Radius</span><span class="s">)</span><span class="sc">;</span>
1633 1620
1634 1621 <span class="k">if</span> <span class="s">(</span>!<span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesNeighborhoods</span>}}<span class="s">)</span> <span class="s">{</span>
1635 1622 <span class="i">$NeighborhoodsString</span> = <span class="q">&quot;&lt;NeighborhoodRadius-NeighborhoodVerticesList&gt;: None&quot;</span><span class="sc">;</span>
1636 1623 <span class="k">return</span> <span class="i">$NeighborhoodsString</span><span class="sc">;</span>
1637 1624 <span class="s">}</span>
1638 1625 <span class="i">$NeighborhoodsString</span> = <span class="q">&quot;&lt;NeighborhoodRadius-NeighborhoodVerticesList&gt;:&quot;</span><span class="sc">;</span>
1639 1626 <span class="k">for</span> <span class="i">$Radius</span> <span class="s">(</span><span class="n">0</span> .. <span class="i">$#</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesNeighborhoods</span>}}<span class="s">)</span> <span class="s">{</span>
1640 1627 <span class="i">$NeighborhoodVerticesString</span> = <span class="k">join</span><span class="s">(</span><span class="q">&#39;,&#39;</span><span class="cm">,</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesNeighborhoods</span>}[<span class="i">$Radius</span>]}<span class="s">)</span><span class="sc">;</span>
1641 1628 <span class="i">$NeighborhoodsString</span> .= <span class="q">&quot; &lt;$Radius-$NeighborhoodVerticesString&gt;&quot;</span><span class="sc">;</span>
1642 1629 <span class="s">}</span>
1643 1630
1644 1631 <span class="k">return</span> <span class="i">$NeighborhoodsString</span><span class="sc">;</span>
1645 1632 <span class="s">}</span>
1646 1633
1647 1634 <span class="c"># Strinigify vertices neighborhoods...</span>
1648 1635 <span class="c">#</span>
1649 <a name="StringifyVerticesNeighborhoodsWithSuccessors-"></a>1636 <span class="k">sub </span><span class="m">StringifyVerticesNeighborhoodsWithSuccessors</span> <span class="s">{</span>
1650 1637 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1651 1638 <span class="k">my</span><span class="s">(</span><span class="i">$NeighborhoodsString</span><span class="cm">,</span> <span class="i">$NeighborhoodVertexSuccessorsString</span><span class="cm">,</span> <span class="i">$Radius</span><span class="cm">,</span> <span class="i">$NeighborhoodVertericesWithSuccessorsRef</span><span class="cm">,</span> <span class="i">$NeighborhoodVertexWithSuccessorsRef</span><span class="cm">,</span> <span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$NeighborhoodVertexSuccessorsRef</span><span class="s">)</span><span class="sc">;</span>
1652 1639
1653 1640 <span class="k">if</span> <span class="s">(</span>!<span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesNeighborhoodsWithSuccessors</span>}}<span class="s">)</span> <span class="s">{</span>
1654 1641 <span class="i">$NeighborhoodsString</span> = <span class="q">&quot;&lt;NeighborhoodRadius-NeighborhoodVertex-NeighborhoodVerticeSuccessorsList&gt;: None&quot;</span><span class="sc">;</span>
1655 1642 <span class="k">return</span> <span class="i">$NeighborhoodsString</span><span class="sc">;</span>
1656 1643 <span class="s">}</span>
1657 1644 <span class="i">$NeighborhoodsString</span> = <span class="q">&quot;&lt;NeighborhoodRadius-NeighborhoodVertex-NeighborhoodVerticeSuccessorsList&gt;: None&quot;</span><span class="sc">;</span>
1658 1645
1659 1646 <span class="i">$Radius</span> = <span class="n">0</span><span class="sc">;</span>
1660 1647 <span class="k">for</span> <span class="i">$NeighborhoodVertericesWithSuccessorsRef</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">VerticesNeighborhoodsWithSuccessors</span>}}<span class="s">)</span> <span class="s">{</span>
1661 1648 <span class="k">for</span> <span class="i">$NeighborhoodVertexWithSuccessorsRef</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$NeighborhoodVertericesWithSuccessorsRef</span>}<span class="s">)</span> <span class="s">{</span>
1662 1649 <span class="s">(</span><span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$NeighborhoodVertexSuccessorsRef</span><span class="s">)</span> = <span class="i">@</span>{<span class="i">$NeighborhoodVertexWithSuccessorsRef</span>}<span class="sc">;</span>
1663 1650 <span class="i">$NeighborhoodVertexSuccessorsString</span> = <span class="q">&#39;None&#39;</span><span class="sc">;</span>
1664 1651 <span class="k">if</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$NeighborhoodVertexSuccessorsRef</span>}<span class="s">)</span> <span class="s">{</span>
1665 1652 <span class="i">$NeighborhoodVertexSuccessorsString</span> = <span class="k">join</span><span class="s">(</span><span class="q">&#39;,&#39;</span><span class="cm">,</span> <span class="i">@</span>{<span class="i">$NeighborhoodVertexSuccessorsRef</span>}<span class="s">)</span><span class="sc">;</span>
1666 1653 <span class="s">}</span>
1667 1654 <span class="i">$NeighborhoodsString</span> .= <span class="q">&quot; &lt;$Radius-$VertexID-$NeighborhoodVertexSuccessorsString&gt;&quot;</span><span class="sc">;</span>
1668 1655 <span class="s">}</span>
1669 1656 <span class="i">$Radius</span>++<span class="sc">;</span>
1670 1657 <span class="s">}</span>
1671 1658 <span class="k">return</span> <span class="i">$NeighborhoodsString</span><span class="sc">;</span>
1672 1659 <span class="s">}</span>
1673 1660
1674 1661 <span class="c"># Return a reference to new paths traversal object...</span>
1675 <a name="Copy-"></a>1662 <span class="k">sub </span><span class="m">Copy</span> <span class="s">{</span>
1676 1663 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1677 1664 <span class="k">my</span><span class="s">(</span><span class="i">$NewPathsTraversal</span><span class="s">)</span><span class="sc">;</span>
1678 1665
1679 1666 <span class="i">$NewPathsTraversal</span> = <span class="i">Storable::dclone</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span><span class="sc">;</span>
1680 1667
1681 1668 <span class="k">return</span> <span class="i">$NewPathsTraversal</span><span class="sc">;</span>
1682 1669 <span class="s">}</span>
1683 1670
1684 <a name="EOF-"></a></pre>
1685 <p>&nbsp;</p>
1686 <br />
1687 <center>
1688 <img src="../../../images/h2o2.png">
1689 </center>
1690 </body>
1691 </html>