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<h2>C++ Reference</h2>
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<h1 style="color: #145A32;">C++ Reference: Graph</h1>
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<a href="eulerian__path_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">// Copyright 2010-2021 Google LLC</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment">// Licensed under the Apache License, Version 2.0 (the &quot;License&quot;);</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment">// you may not use this file except in compliance with the License.</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment">// You may obtain a copy of the License at</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment">// distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment">// See the License for the specific language governing permissions and</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment">// limitations under the License.</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;</div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="comment">// Utility to build Eulerian paths and tours on a graph. For more information,</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="comment">// see https://en.wikipedia.org/wiki/Eulerian_path.</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="comment">// As of 10/2015, only undirected graphs are supported.</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="comment">// Usage:</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="comment">// - Building an Eulerian tour on a ReverseArcListGraph:</span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="comment">// ReverseArcListGraph&lt;int, int&gt; graph;</span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="comment">// // Fill graph</span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="comment">// std::vector&lt;int&gt; tour = BuildEulerianTour(graph);</span></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="comment">// - Building an Eulerian path on a ReverseArcListGraph:</span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="comment">// ReverseArcListGraph&lt;int, int&gt; graph;</span></div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="comment">// // Fill graph</span>
<div class="ttc" id="namespaceoperations__research_html_a034666fe63ca105b735272974006362a"><div class="ttname"><a href="namespaceoperations__research.html#a034666fe63ca105b735272974006362a">operations_research::BuildEulerianTour</a></div><div class="ttdeci">std::vector&lt; typename Graph::NodeIndex &gt; BuildEulerianTour(const Graph &amp;graph)</div><div class="ttdef"><b>Definition:</b> <a href="eulerian__path_8h_source.html#l00128">eulerian_path.h:128</a></div></div>
<div class="ttc" id="namespaceoperations__research_html_aa63055860fc53f8eed56d23d2571c180"><div class="ttname"><a href="namespaceoperations__research.html#aa63055860fc53f8eed56d23d2571c180">operations_research::BuildEulerianTourFromNode</a></div><div class="ttdeci">std::vector&lt; NodeIndex &gt; BuildEulerianTourFromNode(const Graph &amp;graph, NodeIndex root)</div><div class="ttdef"><b>Definition:</b> <a href="eulerian__path_8h_source.html#l00116">eulerian_path.h:116</a></div></div>
<div class="ttc" id="namespaceoperations__research_html_aecf320bda6e95d1edaf3a546673e3e6b"><div class="ttname"><a href="namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b">operations_research::ArcIndex</a></div><div class="ttdeci">int32_t ArcIndex</div><div class="ttdef"><b>Definition:</b> <a href="ebert__graph_8h_source.html#l00202">ebert_graph.h:202</a></div></div>
<div class="ttc" id="namespaceoperations__research_html_a49b170b2d03863c465331e67b21f0c33"><div class="ttname"><a href="namespaceoperations__research.html#a49b170b2d03863c465331e67b21f0c33">operations_research::BuildEulerianPath</a></div><div class="ttdeci">std::vector&lt; typename Graph::NodeIndex &gt; BuildEulerianPath(const Graph &amp;graph)</div><div class="ttdef"><b>Definition:</b> <a href="eulerian__path_8h_source.html#l00138">eulerian_path.h:138</a></div></div>
<div class="ttc" id="namespaceutil_html_a2f76166dbe0c4055a1f256235ad00478"><div class="ttname"><a href="namespaceutil.html#a2f76166dbe0c4055a1f256235ad00478">util::Graph</a></div><div class="ttdeci">ListGraph Graph</div><div class="ttdef"><b>Definition:</b> <a href="graph_8h_source.html#l02361">graph.h:2361</a></div></div>
<div class="ttc" id="namespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdef"><b>Definition:</b> <a href="christofides_8h_source.html#l00043">christofides.h:43</a></div></div>
<div class="ttc" id="namespaceoperations__research_html_a743d8c9d6f64531bdeb7bbf18023e9d4"><div class="ttname"><a href="namespaceoperations__research.html#a743d8c9d6f64531bdeb7bbf18023e9d4">operations_research::BuildEulerianPathFromNode</a></div><div class="ttdeci">std::vector&lt; NodeIndex &gt; BuildEulerianPathFromNode(const Graph &amp;graph, NodeIndex root)</div><div class="ttdef"><b>Definition:</b> <a href="eulerian__path_8h_source.html#l00074">eulerian_path.h:74</a></div></div>
<div class="ttc" id="namespaceoperations__research_html_a6b312dd19c90b2af099e6f159869f7ee"><div class="ttname"><a href="namespaceoperations__research.html#a6b312dd19c90b2af099e6f159869f7ee">operations_research::IsSemiEulerianGraph</a></div><div class="ttdeci">bool IsSemiEulerianGraph(const Graph &amp;graph, std::vector&lt; NodeIndex &gt; *odd_nodes)</div><div class="ttdef"><b>Definition:</b> <a href="eulerian__path_8h_source.html#l00055">eulerian_path.h:55</a></div></div>
<div class="ttc" id="namespaceoperations__research_html_ab1cf773de0cae72d0c44efe5b8f4bb89"><div class="ttname"><a href="namespaceoperations__research.html#ab1cf773de0cae72d0c44efe5b8f4bb89">operations_research::IsEulerianGraph</a></div><div class="ttdeci">bool IsEulerianGraph(const Graph &amp;graph)</div><div class="ttdef"><b>Definition:</b> <a href="eulerian__path_8h_source.html#l00040">eulerian_path.h:40</a></div></div>
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