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3 <title>MayaChemTools:Documentation:Graph::PathsTraversal.pm</title>
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14 <table width="100%" border=0 cellpadding=0 cellspacing=2>
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15 <tr align="left" valign="top"><td width="33%" align="left"><a href="./PathGraph.html" title="PathGraph.html">Previous</a> <a href="./index.html" title="Table of Contents">TOC</a> <a href="./Graph.html" title="Graph.html">Next</a></td><td width="34%" align="middle"><strong>Graph::PathsTraversal.pm</strong></td><td width="33%" align="right"><a href="././code/PathsTraversal.html" title="View source code">Code</a> | <a href="./../pdf/PathsTraversal.pdf" title="PDF US Letter Size">PDF</a> | <a href="./../pdfgreen/PathsTraversal.pdf" title="PDF US Letter Size with narrow margins: www.changethemargins.com">PDFGreen</a> | <a href="./../pdfa4/PathsTraversal.pdf" title="PDF A4 Size">PDFA4</a> | <a href="./../pdfa4green/PathsTraversal.pdf" title="PDF A4 Size with narrow margins: www.changethemargins.com">PDFA4Green</a></td></tr>
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16 </table>
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17 </div>
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18 <p>
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19 </p>
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20 <h2>NAME</h2>
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21 <p>PathsTraversal</p>
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22 <p>
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23 </p>
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24 <h2>SYNOPSIS</h2>
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25 <p>use Graph::PathsTraversal;</p>
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26 <p>use Graph::PathsTraversal qw(:all);</p>
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27 <p>
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28 </p>
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29 <h2>DESCRIPTION</h2>
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30 <p><strong>PathsTraversal</strong> class provides the following methods:</p>
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31 <p> <a href="#new">new</a>, <a href="#copy">Copy</a>, <a href="#getconnectedcomponentsvertices">GetConnectedComponentsVertices</a>, <a href="#getpaths">GetPaths</a>, <a href="#getvertices">GetVertices</a>
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32 , <a href="#getverticesdepth">GetVerticesDepth</a>, <a href="#getverticesneighborhoods">GetVerticesNeighborhoods</a>
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33 , <a href="#getverticesneighborhoodswithsuccessors">GetVerticesNeighborhoodsWithSuccessors</a>, <a href="#getverticespredecessors">GetVerticesPredecessors</a>, <a href="#getverticesroots">GetVerticesRoots</a>
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34 , <a href="#performallpathssearch">PerformAllPathsSearch</a>, <a href="#performallpathssearchwithlength">PerformAllPathsSearchWithLength</a>
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35 , <a href="#performallpathssearchwithlengthupto">PerformAllPathsSearchWithLengthUpto</a>, <a href="#performbreadthfirstsearch">PerformBreadthFirstSearch</a>
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36 , <a href="#performbreadthfirstsearchwithlimit">PerformBreadthFirstSearchWithLimit</a>, <a href="#performdepthfirstsearch">PerformDepthFirstSearch</a>
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37 , <a href="#performdepthfirstsearchwithlimit">PerformDepthFirstSearchWithLimit</a>, <a href="#performneighborhoodverticessearch">PerformNeighborhoodVerticesSearch</a>
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38 , <a href="#performneighborhoodverticessearchwithradiusupto">PerformNeighborhoodVerticesSearchWithRadiusUpto</a>
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39 , <a href="#performneighborhoodverticessearchwithsuccessors">PerformNeighborhoodVerticesSearchWithSuccessors</a>
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40 , <a href="#performneighborhoodverticessearchwithsuccessorsandradiusupto">PerformNeighborhoodVerticesSearchWithSuccessorsAndRadiusUpto</a>, <a href="#performpathssearch">PerformPathsSearch</a>
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41 , <a href="#performpathssearchbetween">PerformPathsSearchBetween</a>, <a href="#performpathssearchwithlength">PerformPathsSearchWithLength</a>
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42 , <a href="#performpathssearchwithlengthupto">PerformPathsSearchWithLengthUpto</a>, <a href="#stringifypaths">StringifyPaths</a>, <a href="#stringifypathstraversal">StringifyPathsTraversal</a>
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43 , <a href="#stringifyverticesdepth">StringifyVerticesDepth</a>, <a href="#stringifyverticesneighborhoods">StringifyVerticesNeighborhoods</a>
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44 , <a href="#stringifyverticesneighborhoodswithsuccessors">StringifyVerticesNeighborhoodsWithSuccessors</a>, <a href="#stringifyverticespredecessors">StringifyVerticesPredecessors</a>
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45 , <a href="#stringifyverticesroots">StringifyVerticesRoots</a>, <a href="#stringifyverticessuccessors">StringifyVerticesSuccessors</a>
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46 </p><p>
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47 </p>
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48 <h2>METHODS</h2>
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49 <dl>
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50 <dt><strong><a name="new" class="item"><strong>new</strong></a></strong></dt>
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51 <dd>
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52 <div class="OptionsBox">
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53 $PathsTraversal = new Graph::PathsTraversal($Graph);</div>
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54 <p>Using specified <em>Graph</em>, <strong>new</strong> method creates a new <strong>PathsTraversal</strong> object and returns
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55 newly created <strong>PathsTraversal</strong> object.</p>
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56 </dd>
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57 <dt><strong><a name="copy" class="item"><strong>Copy</strong></a></strong></dt>
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58 <dd>
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59 <div class="OptionsBox">
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60 $PathsTraversal = $PathsTraversal->Copy();</div>
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61 <p>Copies <em>PathsTraversal</em> and its associated data using <strong>Storable::dclone</strong> and returns a new
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62 <strong>PathsTraversal</strong> object.</p>
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63 </dd>
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64 <dt><strong><a name="getconnectedcomponentsvertices" class="item"><strong>GetConnectedComponentsVertices</strong></a></strong></dt>
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65 <dd>
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66 <div class="OptionsBox">
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67 @Components = $PathsTraversal->GetConnectedComponentsVertices();
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68 <br/> $NumOfComponents = $PathsTraversal->GetConnectedComponentsVertices();</div>
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69 <p>Returns an array of <strong>Components</strong> containing references to arrays of vertex IDs corresponding
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70 to connected components of graph after a search. In scalar context, the number of connected
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71 components is returned.</p>
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72 <p>Connected <strong>Components</strong> is sorted in descending order of number of vertices in each
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73 connected component.</p>
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74 </dd>
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75 <dt><strong><a name="getpaths" class="item"><strong>GetPaths</strong></a></strong></dt>
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76 <dd>
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77 <div class="OptionsBox">
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78 @Paths = $PathsTraversal->GetPaths();
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79 <br/> $NumOfPaths = $PathsTraversal->GetPaths();</div>
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80 <p>Returns an array of <strong>Paths</strong> containing references to arrays of vertex IDs corresponding to
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81 to paths traversed in a graph after a search. In scalar context, number of paths is returned.</p>
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82 <p><strong>Paths</strong> array is sorted in ascending order of path lengths.</p>
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83 </dd>
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84 <dt><strong><a name="getvertices" class="item"><strong>GetVertices</strong></a></strong></dt>
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85 <dd>
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86 <div class="OptionsBox">
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87 @Vertices = $PathsTraversal->GetVertices();
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88 <br/> $NumOfVertices = $PathsTraversal->GetVertices();</div>
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89 <p>Returns an array containing an ordered list of vertex IDs traversed during a search. In
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90 scalar context, the number of vertices is returned.</p>
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91 </dd>
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92 <dt><strong><a name="getverticesdepth" class="item"><strong>GetVerticesDepth</strong></a></strong></dt>
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93 <dd>
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94 <div class="OptionsBox">
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95 %VerticesDepth = $PathsTraversal->GetVerticesDepth();</div>
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96 <p>Returns a hash <em>VerticesDepth</em> containing vertex ID and depth from root vertex as a key and
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97 value pair for all vertices traversed during a search.</p>
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98 </dd>
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99 <dt><strong><a name="getverticesneighborhoods" class="item"><strong>GetVerticesNeighborhoods</strong></a></strong></dt>
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100 <dd>
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101 <div class="OptionsBox">
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102 @VerticesNeighborhoods =
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103 $PathsTraversal->GetVerticesNeighborhoods();
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104 <br/> $NumOfVerticesNeighborhoods =
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105 $PathsTraversal->GetVerticesNeighborhoods();</div>
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106 <p>Returns an array <em>VerticesNeighborhoods</em> containing references to arrays corresponding
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107 to vertices collected at various neighborhood radii around a specified vertex during a vertex
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108 neighborhood search. In scalar context, the number of neighborhoods is returned.</p>
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109 </dd>
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110 <dt><strong><a name="getverticesneighborhoodswithsuccessors" class="item"><strong>GetVerticesNeighborhoodsWithSuccessors</strong></a></strong></dt>
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111 <dd>
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112 <div class="OptionsBox">
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113 @VerticesNeighborhoodsWithSucceessors =
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114 $PathsTraversal->GetVerticesNeighborhoodsWithSuccessors();
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115 <br/> $NumOfVerticesNeighborhoodsWithSucceessors =
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116 $PathsTraversal->GetVerticesNeighborhoodsWithSuccessors();</div>
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117 <p>Returns an array <em>VerticesNeighborhoodsWithSucceessors</em> containing references to arrays
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118 with first value corresponding to vertex IDs corresponding to a vertex at a specific neighborhood
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119 radius level and second value a reference to an arraty containing its successors.</p>
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120 </dd>
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121 <dt><strong><a name="getverticespredecessors" class="item"><strong>GetVerticesPredecessors</strong></a></strong></dt>
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122 <dd>
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123 <div class="OptionsBox">
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124 %VerticesPredecessors = $PathsTraversal->GetVerticesPredecessors();</div>
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125 <p>Returns a hash <em>VerticesPredecessors</em> containing vertex ID and predecessor vertex ID as key
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126 and value pair for all vertices traversed during a search.</p>
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127 </dd>
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128 <dt><strong><a name="getverticesroots" class="item"><strong>GetVerticesRoots</strong></a></strong></dt>
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129 <dd>
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130 <div class="OptionsBox">
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131 %VerticesRoots = $PathsTraversal->GetVerticesRoots();</div>
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132 <p>Returns a hash <em>VerticesPredecessors</em> containing vertex ID and root vertex ID as a key
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133 and value pair for all vertices traversed during a search.</p>
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134 </dd>
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135 <dt><strong><a name="performallpathssearch" class="item"><strong>PerformAllPathsSearch</strong></a></strong></dt>
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136 <dd>
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137 <div class="OptionsBox">
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138 $PathsTraversal->PerformAllPathsSearch($StartVertexID, [$AllowCycles]);</div>
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139 <p>Searches all paths starting from a <em>StartVertexID</em> with sharing of edges in paths traversed and
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140 returns <em>PathsTraversal</em>.</p>
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141 <p>By default, cycles are included in paths. A path containing a cycle is terminated at a vertex
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142 completing the cycle.</p>
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143 </dd>
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144 <dt><strong><a name="performallpathssearchwithlength" class="item"><strong>PerformAllPathsSearchWithLength</strong></a></strong></dt>
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145 <dd>
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146 <div class="OptionsBox">
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147 $PathsTraversal->PerformAllPathsSearchWithLength($StartVertexID,
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148 $Length, [$AllowCycles]);</div>
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149 <p>Searches all paths starting from <em>StartVertexID</em> of specific <em>Length</em> with sharing of
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150 edges in paths traversed and returns <em>PathsTraversal</em>.</p>
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151 <p>By default, cycles are included in paths. A path containing a cycle is terminated at a vertex
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152 completing the cycle.</p>
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153 </dd>
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154 <dt><strong><a name="performallpathssearchwithlengthupto" class="item"><strong>PerformAllPathsSearchWithLengthUpto</strong></a></strong></dt>
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155 <dd>
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156 <div class="OptionsBox">
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157 $PathsTraversal->PerformAllPathsSearchWithLengthUpto($StartVertexID,
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158 $Length, [$AllowCycles]);</div>
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159 <p>Searches all paths starting from <em>StartVertexID</em> of length upto a <em>Length</em> with sharing of
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160 edges in paths traversed and returns <em>PathsTraversal</em>.</p>
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161 <p>By default, cycles are included in paths. A path containing a cycle is terminated at a vertex
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162 completing the cycle.</p>
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163 </dd>
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164 <dt><strong><a name="performbreadthfirstsearch" class="item"><strong>PerformBreadthFirstSearch</strong></a></strong></dt>
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165 <dd>
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166 <div class="OptionsBox">
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167 $PathsTraversal->PerformBreadthFirstSearch();</div>
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168 <p>Performs Breadth First Search (BFS) and returns <em>PathsTraversal</em>.</p>
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169 </dd>
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170 <dt><strong><a name="performbreadthfirstsearchwithlimit" class="item"><strong>PerformBreadthFirstSearchWithLimit</strong></a></strong></dt>
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171 <dd>
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172 <div class="OptionsBox">
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173 $PathsTraversal->PerformBreadthFirstSearchWithLimit($DepthLimit,
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174 [$RootVertexID]);</div>
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175 <p>Performs BFS with depth up to <em>DepthLimit</em> starting at <em>RootVertexID</em> and returns
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176 <em>PathsTraversal</em>. By default, root vertex ID corresponds to an arbitrary vertex.</p>
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177 </dd>
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178 <dt><strong><a name="performdepthfirstsearch" class="item"><strong>PerformDepthFirstSearch</strong></a></strong></dt>
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179 <dd>
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180 <div class="OptionsBox">
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181 $Return = $PathsTraversal->PerformDepthFirstSearch();</div>
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182 <p>Performs Depth First Search (DFS) and returns <em>PathsTraversal</em>.</p>
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183 </dd>
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184 <dt><strong><a name="performdepthfirstsearchwithlimit" class="item"><strong>PerformDepthFirstSearchWithLimit</strong></a></strong></dt>
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185 <dd>
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186 <div class="OptionsBox">
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187 $PathsTraversal->PerformDepthFirstSearchWithLimit($DepthLimit,
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188 [$RootVertexID]);</div>
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189 <p>Performs DFS with depth up to <em>DepthLimit</em> starting at <em>RootVertexID</em> and returns
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190 <em>PathsTraversal</em>. By default, root vertex ID corresponds to an arbitrary vertex.</p>
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191 </dd>
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192 <dt><strong><a name="performneighborhoodverticessearch" class="item"><strong>PerformNeighborhoodVerticesSearch</strong></a></strong></dt>
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193 <dd>
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194 <div class="OptionsBox">
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195 $PathsTraversal->PerformNeighborhoodVerticesSearch($StartVertexID);</div>
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196 <p>Searches vertices around <em>StartVertexID</em> at all neighborhood radii and returns
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197 <em>PathsTraversal</em> object.</p>
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198 </dd>
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199 <dt><strong><a name="performneighborhoodverticessearchwithradiusupto" class="item"><strong>PerformNeighborhoodVerticesSearchWithRadiusUpto</strong></a></strong></dt>
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200 <dd>
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201 <div class="OptionsBox">
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202 $PathsTraversal->PerformNeighborhoodVerticesSearchWithRadiusUpto(
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203 $StartVertexID, $Radius);</div>
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204 <p>Searches vertices around <em>StartVertexID</em> with neighborhood radius up to <em>Radius</em> and returns
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205 <em>PathsTraversal</em> object.</p>
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206 </dd>
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207 <dt><strong><a name="performneighborhoodverticessearchwithsuccessors" class="item"><strong>PerformNeighborhoodVerticesSearchWithSuccessors</strong></a></strong></dt>
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208 <dd>
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209 <div class="OptionsBox">
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210 $PathsTraversal->PerformNeighborhoodVerticesSearchWithSuccessors(
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211 $StartVertexID);</div>
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212 <p>Searches vertices around <em>StartVertexID</em> at all neighborhood radii along with identification of
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213 successor vertices for each vertex found during the traversal and returns <em>PathsTraversal</em>.</p>
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214 </dd>
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215 <dt><strong><a name="performneighborhoodverticessearchwithsuccessorsandradiusupto" class="item"><strong>PerformNeighborhoodVerticesSearchWithSuccessorsAndRadiusUpto</strong></a></strong></dt>
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216 <dd>
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217 <div class="OptionsBox">
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218 $PathsTraversal->
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219 <br/> PerformNeighborhoodVerticesSearchWithSuccessorsAndRadiusUpto(
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220 $StartVertexID, $Radius);</div>
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221 <p>Searches vertices around <em>StartVertexID</em> with neighborhood radius upto <em>Radius</em> along with
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222 identification of successor vertices for each vertex found during the traversal and returns
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223 <em>PathsTraversal</em>.</p>
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224 </dd>
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225 <dt><strong><a name="performpathssearch" class="item"><strong>PerformPathsSearch</strong></a></strong></dt>
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226 <dd>
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227 <div class="OptionsBox">
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228 $PathsTraversal->PerformPathsSearch($StartVertexID, [$AllowCycles]);</div>
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229 <p>Searches paths starting from <em>StartVertexID</em> with no sharing of edges in paths traversed and
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230 returns <em>PathsTraversal</em>.</p>
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231 <p>By default, cycles are included in paths. A path containing a cycle is terminated at a vertex
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232 completing the cycle.</p>
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233 </dd>
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234 <dt><strong><a name="performpathssearchbetween" class="item"><strong>PerformPathsSearchBetween</strong></a></strong></dt>
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235 <dd>
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236 <div class="OptionsBox">
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237 $PathsTraversal->PerformPathsSearchBetween($StartVertexID, $EndVertexID);</div>
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238 <p>Searches paths between <em>StartVertexID</em> and <em>EndVertexID</em> and returns <em>PathsTraversal</em></p>
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239 </dd>
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240 <dt><strong><a name="performpathssearchwithlength" class="item"><strong>PerformPathsSearchWithLength</strong></a></strong></dt>
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241 <dd>
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242 <div class="OptionsBox">
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243 $PathsTraversal->PerformPathsSearchWithLength($StartVertexID, $Length,
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244 [$AllowCycles]);</div>
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245 <p>Searches paths starting from <em>StartVertexID</em> with length <em>Length</em> with no sharing of
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246 edges in paths traversed and returns <em>PathsTraversal</em>.</p>
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247 <p>By default, cycles are included in paths. A path containing a cycle is terminated at a vertex
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248 completing the cycle.</p>
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249 </dd>
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250 <dt><strong><a name="performpathssearchwithlengthupto" class="item"><strong>PerformPathsSearchWithLengthUpto</strong></a></strong></dt>
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251 <dd>
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252 <div class="OptionsBox">
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253 $PathsTraversal->PerformPathsSearchWithLengthUpto($StartVertexID, $Length,
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254 [$AllowCycles]);</div>
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255 <p>Searches paths starting from <em>StartVertexID</em> with length upto <em>Length</em> with no sharing of
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256 edges in paths traversed and returns <em>PathsTraversal</em>.</p>
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257 <p>By default, cycles are included in paths. A path containing a cycle is terminated at a vertex
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258 completing the cycle.</p>
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259 </dd>
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260 <dt><strong><a name="stringifypaths" class="item"><strong>StringifyPaths</strong></a></strong></dt>
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261 <dd>
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262 <div class="OptionsBox">
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263 $String = $PathsTraversal->StringifyPaths();</div>
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264 <p>Returns a string containing information about traversed paths in <em>PathsTraversal</em> object</p>
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265 </dd>
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266 <dt><strong><a name="stringifypathstraversal" class="item"><strong>StringifyPathsTraversal</strong></a></strong></dt>
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267 <dd>
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268 <div class="OptionsBox">
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269 $String = $PathsTraversal->StringifyPathsTraversal();</div>
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270 <p>Returns a string containing information about <em>PathsTraversal</em> object.</p>
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271 </dd>
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272 <dt><strong><a name="stringifyverticesdepth" class="item"><strong>StringifyVerticesDepth</strong></a></strong></dt>
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273 <dd>
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274 <div class="OptionsBox">
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275 $String = $PathsTraversal->StringifyVerticesDepth();</div>
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276 <p>Returns a string containing information about depth of vertices found during search by
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277 <em>PathsTraversal</em> object.</p>
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278 </dd>
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279 <dt><strong><a name="stringifyverticesneighborhoods" class="item"><strong>StringifyVerticesNeighborhoods</strong></a></strong></dt>
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280 <dd>
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281 <div class="OptionsBox">
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282 $String = $PathsTraversal->StringifyVerticesNeighborhoods();</div>
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283 <p>Returns a string containing information about neighborhoods of vertices found during search by
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284 <em>PathsTraversal</em> object.</p>
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285 </dd>
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286 <dt><strong><a name="stringifyverticesneighborhoodswithsuccessors" class="item"><strong>StringifyVerticesNeighborhoodsWithSuccessors</strong></a></strong></dt>
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287 <dd>
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288 <div class="OptionsBox">
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289 $String = $PathsTraversal->StringifyVerticesNeighborhoodsWithSuccessors();</div>
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290 <p>Returns a string containing information about neighborhoods of vertices along with their successors
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291 found during search by <em>PathsTraversal</em> object.</p>
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292 </dd>
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293 <dt><strong><a name="stringifyverticespredecessors" class="item"><strong>StringifyVerticesPredecessors</strong></a></strong></dt>
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294 <dd>
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295 <div class="OptionsBox">
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296 $String = $PathsTraversal->StringifyVerticesPredecessors();</div>
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297 <p>Returns a string containing information about predecessors of vertices found during search by
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298 <em>PathsTraversal</em> object.</p>
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299 </dd>
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300 <dt><strong><a name="stringifyverticesroots" class="item"><strong>StringifyVerticesRoots</strong></a></strong></dt>
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301 <dd>
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302 <div class="OptionsBox">
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303 $String = $PathsTraversal->StringifyVerticesRoots();</div>
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304 <p>Returns a string containing information about roots of vertices found during search by
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305 <em>PathsTraversal</em> object.</p>
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306 </dd>
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307 <dt><strong><a name="stringifyverticessuccessors" class="item"><strong>StringifyVerticesSuccessors</strong></a></strong></dt>
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308 <dd>
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309 <div class="OptionsBox">
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310 $String = $PathsTraversal->StringifyVerticesSuccessors();</div>
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311 <p>Returns a string containing information about successors of vertices found during search by
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312 <em>PathsTraversal</em> object.</p>
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313 </dd>
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314 </dl>
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315 <p>
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316 </p>
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317 <h2>AUTHOR</h2>
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318 <p><a href="mailto:msud@san.rr.com">Manish Sud</a></p>
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319 <p>
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320 </p>
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321 <h2>SEE ALSO</h2>
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322 <p><a href="./Graph.html">Graph.pm</a>, <a href="./Path.html">Path.pm</a>
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323 </p>
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324 <p>
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325 </p>
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326 <h2>COPYRIGHT</h2>
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327 <p>Copyright (C) 2015 Manish Sud. All rights reserved.</p>
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328 <p>This file is part of MayaChemTools.</p>
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329 <p>MayaChemTools is free software; you can redistribute it and/or modify it under
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330 the terms of the GNU Lesser General Public License as published by the Free
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331 Software Foundation; either version 3 of the License, or (at your option)
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332 any later version.</p>
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333 <p> </p><p> </p><div class="DocNav">
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334 <table width="100%" border=0 cellpadding=0 cellspacing=2>
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335 <tr align="left" valign="top"><td width="33%" align="left"><a href="./PathGraph.html" title="PathGraph.html">Previous</a> <a href="./index.html" title="Table of Contents">TOC</a> <a href="./Graph.html" title="Graph.html">Next</a></td><td width="34%" align="middle"><strong>March 29, 2015</strong></td><td width="33%" align="right"><strong>Graph::PathsTraversal.pm</strong></td></tr>
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336 </table>
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337 </div>
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338 <br />
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339 <center>
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340 <img src="../../images/h2o2.png">
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341 </center>
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342 </body>
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343 </html>
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