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|  | 15 <tr align="left" valign="top"><td width="33%" align="left"><a href="./GraphMatrix.html" title="GraphMatrix.html">Previous</a>  <a href="./index.html" title="Table of Contents">TOC</a>  <a href="./PathGraph.html" title="PathGraph.html">Next</a></td><td width="34%" align="middle"><strong>Graph::Path.pm</strong></td><td width="33%" align="right"><a href="././code/Path.html" title="View source code">Code</a> | <a href="./../pdf/Path.pdf" title="PDF US Letter Size">PDF</a> | <a href="./../pdfgreen/Path.pdf" title="PDF US Letter Size with narrow margins: www.changethemargins.com">PDFGreen</a> | <a href="./../pdfa4/Path.pdf" title="PDF A4 Size">PDFA4</a> | <a href="./../pdfa4green/Path.pdf" title="PDF A4 Size with narrow margins: www.changethemargins.com">PDFA4Green</a></td></tr> | 
|  | 16 </table> | 
|  | 17 </div> | 
|  | 18 <p> | 
|  | 19 </p> | 
|  | 20 <h2>NAME</h2> | 
|  | 21 <p>Path - Path class</p> | 
|  | 22 <p> | 
|  | 23 </p> | 
|  | 24 <h2>SYNOPSIS</h2> | 
|  | 25 <p>use Graph::Path;</p> | 
|  | 26 <p>use Graph::Path qw(:all);</p> | 
|  | 27 <p> | 
|  | 28 </p> | 
|  | 29 <h2>DESCRIPTION</h2> | 
|  | 30 <p><strong>Path</strong> class provides the following methods:</p> | 
|  | 31 <p> <a href="#new">new</a>, <a href="#addvertex">AddVertex</a>, <a href="#addvertices">AddVertices</a>, <a href="#copy">Copy</a>, <a href="#getcommonvertices">GetCommonVertices</a>, <a href="#getedges">GetEdges</a>, <a href="#getendvertex">GetEndVertex</a> | 
|  | 32 , <a href="#getlength">GetLength</a>, <a href="#getstartvertex">GetStartVertex</a>, <a href="#getterminalvertices">GetTerminalVertices</a>, <a href="#getvertex">GetVertex</a>, <a href="#getvertices">GetVertices</a>, <a href="#iscycle">IsCycle</a> | 
|  | 33 , <a href="#isindependentcyclicpath">IsIndependentCyclicPath</a>, <a href="#isindependentpath">IsIndependentPath</a>, <a href="#ispath">IsPath</a>, <a href="#join">Join</a>, <a href="#joinatvertex">JoinAtVertex</a>, <a href="#popvertex">PopVertex</a> | 
|  | 34 , <a href="#pushvertex">PushVertex</a>, <a href="#pushvertices">PushVertices</a>, <a href="#reverse">Reverse</a>, <a href="#shiftvertex">ShiftVertex</a>, <a href="#stringifypath">StringifyPath</a>, <a href="#unshiftvertex">UnshiftVertex</a> | 
|  | 35 , <a href="#unshiftvertices">UnshiftVertices</a> | 
|  | 36 </p><p>Path is a sequential list of vertices with an edge between two successive vertices. The path | 
|  | 37 becomes a cycle when start vertex and end vertex are the same.</p> | 
|  | 38 <p>The following operators are overloaded:</p> | 
|  | 39 <div class="OptionsBox"> | 
|  | 40     "" == eq</div> | 
|  | 41 <p> | 
|  | 42 </p> | 
|  | 43 <h2>METHODS</h2> | 
|  | 44 <dl> | 
|  | 45 <dt><strong><a name="new" class="item"><strong>new</strong></a></strong></dt> | 
|  | 46 <dd> | 
|  | 47 <div class="OptionsBox"> | 
|  | 48     $NewPath = new Path(); | 
|  | 49 <br/>    $NewPath = new Path(@VertexIDs);</div> | 
|  | 50 <p>Using specified <em>VertexIDs</em>, <strong>new</strong> method creates a new <strong>Path</strong> object and returns | 
|  | 51 newly created <strong>Path</strong> object.</p> | 
|  | 52 </dd> | 
|  | 53 <dt><strong><a name="addvertex" class="item"><strong>AddVertex</strong></a></strong></dt> | 
|  | 54 <dd> | 
|  | 55 <div class="OptionsBox"> | 
|  | 56     $Path->AddVertex($VertexID);</div> | 
|  | 57 <p>Adds <em>VertexID</em> to <em>Path</em> and returns <em>Path</em>.</p> | 
|  | 58 </dd> | 
|  | 59 <dt><strong><a name="addvertices" class="item"><strong>AddVertices</strong></a></strong></dt> | 
|  | 60 <dd> | 
|  | 61 <div class="OptionsBox"> | 
|  | 62     $Path->AddVertices(@VertexIDs);</div> | 
|  | 63 <p>Adds vertices using <em>VertexIDs</em> to <em>Path</em> and returns <em>Graph</em>.</p> | 
|  | 64 </dd> | 
|  | 65 <dt><strong><a name="copy" class="item"><strong>Copy</strong></a></strong></dt> | 
|  | 66 <dd> | 
|  | 67 <div class="OptionsBox"> | 
|  | 68     $Return = $Path->Copy();</div> | 
|  | 69 <p>Copies <em>Path</em> and its associated data using <strong>Storable::dclone</strong> and returns a new | 
|  | 70 <strong>Path</strong> object.</p> | 
|  | 71 </dd> | 
|  | 72 <dt><strong><a name="getcommonvertices" class="item"><strong>GetCommonVertices</strong></a></strong></dt> | 
|  | 73 <dd> | 
|  | 74 <div class="OptionsBox"> | 
|  | 75     @CommonVertices = $Path->GetCommonVertices($OtherPath); | 
|  | 76 <br/>    $NumOfCommonVertices = $Path->GetCommonVertices($OtherPath);</div> | 
|  | 77 <p>Returns an array containing common vertex IDs between two paths. In scalar context, number | 
|  | 78 of common vertices is returned.</p> | 
|  | 79 </dd> | 
|  | 80 <dt><strong><a name="getedges" class="item"><strong>GetEdges</strong></a></strong></dt> | 
|  | 81 <dd> | 
|  | 82 <div class="OptionsBox"> | 
|  | 83     @EdgesVertexIDs = $Path->GetEdges(); | 
|  | 84 <br/>    $NumOfEdges = $Path->GetEdges();</div> | 
|  | 85 <p>Returns an array containg successive paris of vertex IDs corresponding to all edges in <em>Path</em>. | 
|  | 86 In scalar context, the number of edges is returned.</p> | 
|  | 87 </dd> | 
|  | 88 <dt><strong><a name="getendvertex" class="item"><strong>GetEndVertex</strong></a></strong></dt> | 
|  | 89 <dd> | 
|  | 90 <div class="OptionsBox"> | 
|  | 91     $VertexID = $Path->GetEndVertex();</div> | 
|  | 92 <p>Returns <strong>VertexID</strong> of end vertex in <em>Path</em>.</p> | 
|  | 93 </dd> | 
|  | 94 <dt><strong><a name="getlength" class="item"><strong>GetLength</strong></a></strong></dt> | 
|  | 95 <dd> | 
|  | 96 <div class="OptionsBox"> | 
|  | 97     $Length = $Path->GetLength();</div> | 
|  | 98 <p>Returns <strong>Length</strong> of <em>Path</em> corresponding to number of vertices in <em>Path</em>.</p> | 
|  | 99 </dd> | 
|  | 100 <dt><strong><a name="getstartvertex" class="item"><strong>GetStartVertex</strong></a></strong></dt> | 
|  | 101 <dd> | 
|  | 102 <div class="OptionsBox"> | 
|  | 103     $VertexID = $Path->GetStartVertex();</div> | 
|  | 104 <p>Returns <strong>VertexID</strong> of start vertex in <em>Path</em>.</p> | 
|  | 105 </dd> | 
|  | 106 <dt><strong><a name="getterminalvertices" class="item"><strong>GetTerminalVertices</strong></a></strong></dt> | 
|  | 107 <dd> | 
|  | 108 <div class="OptionsBox"> | 
|  | 109     ($StartVertexID, $EndVertexID) = $Path->GetTerminalVertices();</div> | 
|  | 110 <p>Returns vertex IDs of start and end vertices in <em>Path</em>.</p> | 
|  | 111 </dd> | 
|  | 112 <dt><strong><a name="getvertex" class="item"><strong>GetVertex</strong></a></strong></dt> | 
|  | 113 <dd> | 
|  | 114 <div class="OptionsBox"> | 
|  | 115     $VertexID = $Path->GetVertex($Index);</div> | 
|  | 116 <p>Returns specific vertex ID from <em>Path</em> corresponding to <em>Index</em> with indicies starting from 0.</p> | 
|  | 117 </dd> | 
|  | 118 <dt><strong><a name="getvertices" class="item"><strong>GetVertices</strong></a></strong></dt> | 
|  | 119 <dd> | 
|  | 120 <div class="OptionsBox"> | 
|  | 121     @Vertices = $Path->GetVertices(); | 
|  | 122 <br/>    $NumOfVertices = $Path->GetVertices();</div> | 
|  | 123 <p>Returns an array containing all vertex IDs in <em>Path</em>. In scalar context, number of vertices | 
|  | 124 is returned.</p> | 
|  | 125 </dd> | 
|  | 126 <dt><strong><a name="iscycle" class="item"><strong>IsCycle</strong></a></strong></dt> | 
|  | 127 <dd> | 
|  | 128 <div class="OptionsBox"> | 
|  | 129     $Status = $Path->IsCycle();</div> | 
|  | 130 <p>Returns 1 or 0 based on whether <em>Path</em> is a <strong>CyclicPath</strong> which has the same start and | 
|  | 131 end vertex IDs.</p> | 
|  | 132 </dd> | 
|  | 133 <dt><strong><a name="isindependentcyclicpath" class="item"><strong>IsIndependentCyclicPath</strong></a></strong></dt> | 
|  | 134 <dd> | 
|  | 135 <div class="OptionsBox"> | 
|  | 136     $Status = $Path->IsIndependentCyclicPath();</div> | 
|  | 137 <p>Returns 1 or 0 based on whether <em>Path</em> is an independent <strong>CyclicPath</strong>. For a <em>Path</em> to be | 
|  | 138 an independent cyclic path, it must be a cyclic path and have unique vertices.</p> | 
|  | 139 </dd> | 
|  | 140 <dt><strong><a name="isindependentpath" class="item"><strong>IsIndependentPath</strong></a></strong></dt> | 
|  | 141 <dd> | 
|  | 142 <div class="OptionsBox"> | 
|  | 143     $Status = $Path->IsIndependentPath();</div> | 
|  | 144 <p>Returns 1 or 0 based on whether <em>Path</em> is an independent <strong>Path</strong>. For a <em>Path</em> to be | 
|  | 145 an independent path, it must have unique vertices.</p> | 
|  | 146 </dd> | 
|  | 147 <dt><strong><a name="ispath" class="item"><strong>IsPath</strong></a></strong></dt> | 
|  | 148 <dd> | 
|  | 149 <div class="OptionsBox"> | 
|  | 150     $Status = Graph::Path::IsPath();</div> | 
|  | 151 <p>Returns 1 or 0 based on whether <em>Object</em> is a <strong>Path</strong> object</p> | 
|  | 152 </dd> | 
|  | 153 <dt><strong><a name="join" class="item"><strong>Join</strong></a></strong></dt> | 
|  | 154 <dd> | 
|  | 155 <div class="OptionsBox"> | 
|  | 156     $NewPath = $Path->Join($OtherPath); | 
|  | 157 <br/>    $NewPath = $Path->Join(@VertexIDs);</div> | 
|  | 158 <p>Joins existing <em>Path</em> with a new path specified as a <em>OtherPath</em> object or an array of <em>VertexIDs</em> | 
|  | 159 and returns <em>NewPath</em>.</p> | 
|  | 160 <p>In order to successfully join two paths, terminal vertices must have a common vertex. Based on the | 
|  | 161 common terminal vertex found, additional path vertices are added to the current <em>Path</em> in one of | 
|  | 162 the following four ways:</p> | 
|  | 163 <div class="OptionsBox"> | 
|  | 164     . EndVertex = NewStartVertex: New path at end of current path with | 
|  | 165       same vertices order</div> | 
|  | 166 <div class="OptionsBox"> | 
|  | 167     . EndVertex = NewEndVertex: New path at end of current path with | 
|  | 168       reversed vertices order</div> | 
|  | 169 <div class="OptionsBox"> | 
|  | 170     . StartVertex = NewEndVertex: New path at front of current path | 
|  | 171       with same vertices order</div> | 
|  | 172 <div class="OptionsBox"> | 
|  | 173     . StartVertex = NewStartVertex: New path at front of current path | 
|  | 174       with reversed vertices order</div> | 
|  | 175 </dd> | 
|  | 176 <dt><strong><a name="joinatvertex" class="item"><strong>JoinAtVertex</strong></a></strong></dt> | 
|  | 177 <dd> | 
|  | 178 <div class="OptionsBox"> | 
|  | 179     $NewPath = $Path->JoinAtVertex($OtherPath, $CenterVertexID);</div> | 
|  | 180 <p>Joins existing <em>Path</em> with <em>OtherPath</em> at a specified <em>CeterVertexID</em> and returns a <em>NewPath</em>.</p> | 
|  | 181 </dd> | 
|  | 182 <dt><strong><a name="popvertex" class="item"><strong>PopVertex</strong></a></strong></dt> | 
|  | 183 <dd> | 
|  | 184 <div class="OptionsBox"> | 
|  | 185     $Path->PopVertex();</div> | 
|  | 186 <p>Removes end vertex from <em>Path</em> and returns <em>Path</em>.</p> | 
|  | 187 </dd> | 
|  | 188 <dt><strong><a name="pushvertex" class="item"><strong>PushVertex</strong></a></strong></dt> | 
|  | 189 <dd> | 
|  | 190 <div class="OptionsBox"> | 
|  | 191     $Path->PushVertex($VertexID);</div> | 
|  | 192 <p>Adds <em>VertexID</em> to <em>Path</em> after end vertex and returns <em>Path</em>.</p> | 
|  | 193 </dd> | 
|  | 194 <dt><strong><a name="pushvertices" class="item"><strong>PushVertices</strong></a></strong></dt> | 
|  | 195 <dd> | 
|  | 196 <div class="OptionsBox"> | 
|  | 197     $Path->PushVertices(@VertexIDs);</div> | 
|  | 198 <p>Adds <em>VertexIDs</em> to <em>Path</em> after end vertex and returns <em>Path</em>.</p> | 
|  | 199 </dd> | 
|  | 200 <dt><strong><a name="reverse" class="item"><strong>Reverse</strong></a></strong></dt> | 
|  | 201 <dd> | 
|  | 202 <div class="OptionsBox"> | 
|  | 203     $Path->Reverse();</div> | 
|  | 204 <p>Reverses order of vertices in <em>Path</em> and returns <em>Path</em>.</p> | 
|  | 205 </dd> | 
|  | 206 <dt><strong><a name="shiftvertex" class="item"><strong>ShiftVertex</strong></a></strong></dt> | 
|  | 207 <dd> | 
|  | 208 <div class="OptionsBox"> | 
|  | 209     $Path->ShiftVertex();</div> | 
|  | 210 <p>Removes start vertex from <em>Path</em> and returns <em>Path</em>.</p> | 
|  | 211 </dd> | 
|  | 212 <dt><strong><a name="stringifypath" class="item"><strong>StringifyPath</strong></a></strong></dt> | 
|  | 213 <dd> | 
|  | 214 <div class="OptionsBox"> | 
|  | 215     $String = $Path->StringifyPath();</div> | 
|  | 216 <p>Returns a string containing information about <em>Path</em> object.</p> | 
|  | 217 </dd> | 
|  | 218 <dt><strong><a name="unshiftvertex" class="item"><strong>UnshiftVertex</strong></a></strong></dt> | 
|  | 219 <dd> | 
|  | 220 <div class="OptionsBox"> | 
|  | 221     $Path->UnshiftVertex($VertexID);</div> | 
|  | 222 <p>Adds <em>VertexID</em> to <em>Path</em> before start vertex and returns <em>Path</em>.</p> | 
|  | 223 </dd> | 
|  | 224 <dt><strong><a name="unshiftvertices" class="item"><strong>UnshiftVertices</strong></a></strong></dt> | 
|  | 225 <dd> | 
|  | 226 <div class="OptionsBox"> | 
|  | 227     $Path->UnshiftVertices(@VertexIDs);</div> | 
|  | 228 <p>Adds <em>VertexIDs</em> to <em>Path</em> before start vertex and returns <em>Path</em>.</p> | 
|  | 229 </dd> | 
|  | 230 </dl> | 
|  | 231 <p> | 
|  | 232 </p> | 
|  | 233 <h2>AUTHOR</h2> | 
|  | 234 <p><a href="mailto:msud@san.rr.com">Manish Sud</a></p> | 
|  | 235 <p> | 
|  | 236 </p> | 
|  | 237 <h2>SEE ALSO</h2> | 
|  | 238 <p><a href="./PathGraph.html">PathGraph.pm</a>, <a href="./PathsTraversal.html">PathsTraversal.pm</a> | 
|  | 239 </p> | 
|  | 240 <p> | 
|  | 241 </p> | 
|  | 242 <h2>COPYRIGHT</h2> | 
|  | 243 <p>Copyright (C) 2015 Manish Sud. All rights reserved.</p> | 
|  | 244 <p>This file is part of MayaChemTools.</p> | 
|  | 245 <p>MayaChemTools is free software; you can redistribute it and/or modify it under | 
|  | 246 the terms of the GNU Lesser General Public License as published by the Free | 
|  | 247 Software Foundation; either version 3 of the License, or (at your option) | 
|  | 248 any later version.</p> | 
|  | 249 <p> </p><p> </p><div class="DocNav"> | 
|  | 250 <table width="100%" border=0 cellpadding=0 cellspacing=2> | 
|  | 251 <tr align="left" valign="top"><td width="33%" align="left"><a href="./GraphMatrix.html" title="GraphMatrix.html">Previous</a>  <a href="./index.html" title="Table of Contents">TOC</a>  <a href="./PathGraph.html" title="PathGraph.html">Next</a></td><td width="34%" align="middle"><strong>March 29, 2015</strong></td><td width="33%" align="right"><strong>Graph::Path.pm</strong></td></tr> | 
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