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<h1 style="color: #145A32;">C++ Reference: Graph</h1>
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<a href="graphs_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> <span class="comment">// Copyright 2010-2021 Google LLC</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <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> <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> <span class="comment">//</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <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> <span class="comment">//</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <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> <span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <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> <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> <span class="comment">// limitations under the License.</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> </div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment">// Temporary utility class needed as long as we have two slightly</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment">// different graph interface: The one in ebert_graph.h and the one in graph.h</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> </div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#ifndef OR_TOOLS_GRAPH_GRAPHS_H_</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="preprocessor">#define OR_TOOLS_GRAPH_GRAPHS_H_</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> </div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor">#include "<a class="code" href="ebert__graph_8h.html">ortools/graph/ebert_graph.h</a>"</span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span> </div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span> </div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment">// Since StarGraph does not have exactly the same interface as the other</span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment">// graphs, we define a correspondence there.</span></div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Graph></div><div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="structoperations__research_1_1_graphs.html"> 27</a></span> <span class="keyword">struct </span><a class="code" href="structoperations__research_1_1_graphs.html">Graphs</a> {</div><div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="structoperations__research_1_1_graphs.html#a44aa9e2f47277c91d8064c7126a2ff48"> 28</a></span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b">Graph::ArcIndex</a> <a class="code" href="structoperations__research_1_1_graphs.html#a44aa9e2f47277c91d8064c7126a2ff48">ArcIndex</a>;</div><div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="structoperations__research_1_1_graphs.html#a4ddaeee9414a17257bb052c459325caf"> 29</a></span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="namespaceoperations__research.html#a7ffcae041a5d746371436101400cdb6b">Graph::NodeIndex</a> <a class="code" href="structoperations__research_1_1_graphs.html#a4ddaeee9414a17257bb052c459325caf">NodeIndex</a>;</div><div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="structoperations__research_1_1_graphs.html#ae9cc106c6139c0b4e57057594bf56ea8"> 30</a></span>  <span class="keyword">static</span> <a class="code" href="structoperations__research_1_1_graphs.html#a44aa9e2f47277c91d8064c7126a2ff48">ArcIndex</a> <a class="code" href="structoperations__research_1_1_graphs.html#ae9cc106c6139c0b4e57057594bf56ea8">OppositeArc</a>(<span class="keyword">const</span> <a class="code" href="namespaceutil.html#a2f76166dbe0c4055a1f256235ad00478">Graph</a>& graph, <a class="code" href="structoperations__research_1_1_graphs.html#a44aa9e2f47277c91d8064c7126a2ff48">ArcIndex</a> arc) {</div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="keywordflow">return</span> graph.OppositeArc(arc);</div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  }</div><div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="structoperations__research_1_1_graphs.html#ae02cd8602383e4fb48a8a933325db5fd"> 33</a></span>  <span class="keyword">static</span> <span class="keywordtype">bool</span> <a class="code" href="structoperations__research_1_1_graphs.html#ae02cd8602383e4fb48a8a933325db5fd">IsArcValid</a>(<span class="keyword">const</span> <a class="code" href="namespaceutil.html#a2f76166dbe0c4055a1f256235ad00478">Graph</a>& graph, <a class="code" href="structoperations__research_1_1_graphs.html#a44aa9e2f47277c91d8064c7126a2ff48">ArcIndex</a> arc) {</div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="keywordflow">return</span> graph.IsArcValid(arc);</div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  }</div><div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="structoperations__research_1_1_graphs.html#a9d530d16efbea1a29d61cb0325980a50"> 36</a></span>  <span class="keyword">static</span> <a class="code" href="structoperations__research_1_1_graphs.html#a4ddaeee9414a17257bb052c459325caf">NodeIndex</a> <a class="code" href="structoperations__research_1_1_graphs.html#a9d530d16efbea1a29d61cb0325980a50">NodeReservation</a>(<span class="keyword">const</span> <a class="code" href="namespaceutil.html#a2f76166dbe0c4055a1f256235ad00478">Graph</a>& graph) {</div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keywordflow">return</span> graph.node_capacity();</div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  }</div><div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="structoperations__research_1_1_graphs.html#a42fb6857e088a176a53232b910715260"> 39</a></span>  <span class="keyword">static</span> <a class="code" href="structoperations__research_1_1_graphs.html#a44aa9e2f47277c91d8064c7126a2ff48">ArcIndex</a> <a class="code" href="structoperations__research_1_1_graphs.html#a42fb6857e088a176a53232b910715260">ArcReservation</a>(<span class="keyword">const</span> <a class="code" href="namespaceutil.html#a2f76166dbe0c4055a1f256235ad00478">Graph</a>& graph) {</div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keywordflow">return</span> graph.arc_capacity();</div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  }</div><div class="line"><a name="l00042"></a><span class="lineno"><a class="line" href="structoperations__research_1_1_graphs.html#a4012242a9e38a525508c059fcfb5067c"> 42</a></span>  <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="structoperations__research_1_1_graphs.html#a4012242a9e38a525508c059fcfb5067c">Build</a>(<a class="code" href="namespaceutil.html#a2f76166dbe0c4055a1f256235ad00478">Graph</a>* graph) { graph->Build(); }</div><div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="structoperations__research_1_1_graphs.html#ab984d754556724f92363ea83c776d45b"> 43</a></span>  <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="structoperations__research_1_1_graphs.html#ab984d754556724f92363ea83c776d45b">Build</a>(<a class="code" href="namespaceutil.html#a2f76166dbe0c4055a1f256235ad00478">Graph</a>* graph, std::vector<ArcIndex>* permutation) {</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  graph->Build(permutation);</div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  }</div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span> };</div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span> </div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="keyword">template</span> <></div><div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html"> 49</a></span> <span class="keyword">struct </span><a class="code" href="structoperations__research_1_1_graphs.html">Graphs</a><<a class="code" href="namespaceoperations__research.html">operations_research</a>::<a class="code" href="classoperations__research_1_1_ebert_graph.html">StarGraph</a>> {</div><div class="line"><a name="l00050"></a><span class="lineno"><a class="line" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#ae6f9a910e55b48a7d5eb4ff3537545dd"> 50</a></span>  <span class="keyword">typedef</span> <a class="code" href="classoperations__research_1_1_ebert_graph.html">operations_research::StarGraph</a> <a class="code" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#ae6f9a910e55b48a7d5eb4ff3537545dd">Graph</a>;</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor">#if defined(_MSC_VER)</span></div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keyword">typedef</span> <a class="code" href="classoperations__research_1_1_ebert_graph.html#a92531459eff09455cfa63976f5024906">Graph::ArcIndex</a> <a class="code" href="structoperations__research_1_1_graphs.html#a44aa9e2f47277c91d8064c7126a2ff48">ArcIndex</a>;</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keyword">typedef</span> <a class="code" href="classoperations__research_1_1_ebert_graph.html#aec05ff3d270a5f888e1623c2a99ff2aa">Graph::NodeIndex</a> <a class="code" href="structoperations__research_1_1_graphs.html#a4ddaeee9414a17257bb052c459325caf">NodeIndex</a>;</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="preprocessor">#else</span></div><div class="line"><a name="l00055"></a><span class="lineno"><a class="line" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#a44aa9e2f47277c91d8064c7126a2ff48"> 55</a></span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classoperations__research_1_1_ebert_graph.html#a92531459eff09455cfa63976f5024906">Graph::ArcIndex</a> <a class="code" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#a44aa9e2f47277c91d8064c7126a2ff48">ArcIndex</a>;</div><div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#a4ddaeee9414a17257bb052c459325caf"> 56</a></span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classoperations__research_1_1_ebert_graph.html#aec05ff3d270a5f888e1623c2a99ff2aa">Graph::NodeIndex</a> <a class="code" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#a4ddaeee9414a17257bb052c459325caf">NodeIndex</a>;</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="preprocessor">#endif</span></div><div class="line"><a name="l00058"></a><span class="lineno"><a class="line" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#ae9cc106c6139c0b4e57057594bf56ea8"> 58</a></span>  <span class="keyword">static</span> <a class="code" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#a44aa9e2f47277c91d8064c7126a2ff48">ArcIndex</a> <a class="code" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#ae9cc106c6139c0b4e57057594bf56ea8">OppositeArc</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1_ebert_graph.html">Graph</a>& graph, <a class="code" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#a44aa9e2f47277c91d8064c7126a2ff48">ArcIndex</a> arc) {</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">return</span> graph.<a class="code" href="classoperations__research_1_1_ebert_graph.html#a5e97f7ded349bc661bf63bca4c951d6b">Opposite</a>(arc);</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  }</div><div class="line"><a name="l00061"></a><span class="lineno"><a class="line" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#ae02cd8602383e4fb48a8a933325db5fd"> 61</a></span>  <span class="keyword">static</span> <span class="keywordtype">bool</span> <a class="code" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#ae02cd8602383e4fb48a8a933325db5fd">IsArcValid</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1_ebert_graph.html">Graph</a>& graph, <a class="code" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#a44aa9e2f47277c91d8064c7126a2ff48">ArcIndex</a> arc) {</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keywordflow">return</span> graph.<a class="code" href="classoperations__research_1_1_ebert_graph.html#a553e5eeb2887a1d7663e1200b7466e6c">CheckArcValidity</a>(arc);</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  }</div><div class="line"><a name="l00064"></a><span class="lineno"><a class="line" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#a9d530d16efbea1a29d61cb0325980a50"> 64</a></span>  <span class="keyword">static</span> <a class="code" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#a4ddaeee9414a17257bb052c459325caf">NodeIndex</a> <a class="code" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#a9d530d16efbea1a29d61cb0325980a50">NodeReservation</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1_ebert_graph.html">Graph</a>& graph) {</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordflow">return</span> graph.<a class="code" href="classoperations__research_1_1_star_graph_base.html#a29774a2f068745000e90eaf549543144">max_num_nodes</a>();</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  }</div><div class="line"><a name="l00067"></a><span class="lineno"><a class="line" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#a42fb6857e088a176a53232b910715260"> 67</a></span>  <span class="keyword">static</span> <a class="code" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#a44aa9e2f47277c91d8064c7126a2ff48">ArcIndex</a> <a class="code" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#a42fb6857e088a176a53232b910715260">ArcReservation</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1_ebert_graph.html">Graph</a>& graph) {</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">return</span> graph.<a class="code" href="classoperations__research_1_1_star_graph_base.html#a6dea64dce5de0432befc47f85176ab19">max_num_arcs</a>();</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  }</div><div class="line"><a name="l00070"></a><span class="lineno"><a class="line" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#a4012242a9e38a525508c059fcfb5067c"> 70</a></span>  <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#a4012242a9e38a525508c059fcfb5067c">Build</a>(<a class="code" href="classoperations__research_1_1_ebert_graph.html">Graph</a>* graph) {}</div><div class="line"><a name="l00071"></a><span class="lineno"><a class="line" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#ab984d754556724f92363ea83c776d45b"> 71</a></span>  <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#ab984d754556724f92363ea83c776d45b">Build</a>(<a class="code" href="classoperations__research_1_1_ebert_graph.html">Graph</a>* graph, std::vector<ArcIndex>* permutation) {</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  permutation->clear();</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  }</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span> };</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span> </div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span> } <span class="comment">// namespace operations_research</span></div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span> </div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="preprocessor">#endif // OR_TOOLS_GRAPH_GRAPHS_H_</span></div><div class="ttc" id="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4_html_a42fb6857e088a176a53232b910715260"><div class="ttname"><a href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#a42fb6857e088a176a53232b910715260">operations_research::Graphs< operations_research::StarGraph >::ArcReservation</a></div><div class="ttdeci">static ArcIndex ArcReservation(const Graph &graph)</div><div class="ttdef"><b>Definition:</b> <a href="graphs_8h_source.html#l00067">graphs.h:67</a></div></div>
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<div class="ttc" id="namespaceoperations__research_html_a7ffcae041a5d746371436101400cdb6b"><div class="ttname"><a href="namespaceoperations__research.html#a7ffcae041a5d746371436101400cdb6b">operations_research::NodeIndex</a></div><div class="ttdeci">int32_t NodeIndex</div><div class="ttdef"><b>Definition:</b> <a href="ebert__graph_8h_source.html#l00193">ebert_graph.h:193</a></div></div>
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<div class="ttc" id="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4_html_ae6f9a910e55b48a7d5eb4ff3537545dd"><div class="ttname"><a href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#ae6f9a910e55b48a7d5eb4ff3537545dd">operations_research::Graphs< operations_research::StarGraph >::Graph</a></div><div class="ttdeci">operations_research::StarGraph Graph</div><div class="ttdef"><b>Definition:</b> <a href="graphs_8h_source.html#l00050">graphs.h:50</a></div></div>
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<div class="ttc" id="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4_html_a4012242a9e38a525508c059fcfb5067c"><div class="ttname"><a href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#a4012242a9e38a525508c059fcfb5067c">operations_research::Graphs< operations_research::StarGraph >::Build</a></div><div class="ttdeci">static void Build(Graph *graph)</div><div class="ttdef"><b>Definition:</b> <a href="graphs_8h_source.html#l00070">graphs.h:70</a></div></div>
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<div class="ttc" id="structoperations__research_1_1_graphs_html_a9d530d16efbea1a29d61cb0325980a50"><div class="ttname"><a href="structoperations__research_1_1_graphs.html#a9d530d16efbea1a29d61cb0325980a50">operations_research::Graphs::NodeReservation</a></div><div class="ttdeci">static NodeIndex NodeReservation(const Graph &graph)</div><div class="ttdef"><b>Definition:</b> <a href="graphs_8h_source.html#l00036">graphs.h:36</a></div></div>
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<div class="ttc" id="structoperations__research_1_1_graphs_html_ab984d754556724f92363ea83c776d45b"><div class="ttname"><a href="structoperations__research_1_1_graphs.html#ab984d754556724f92363ea83c776d45b">operations_research::Graphs::Build</a></div><div class="ttdeci">static void Build(Graph *graph, std::vector< ArcIndex > *permutation)</div><div class="ttdef"><b>Definition:</b> <a href="graphs_8h_source.html#l00043">graphs.h:43</a></div></div>
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<div class="ttc" id="structoperations__research_1_1_graphs_html"><div class="ttname"><a href="structoperations__research_1_1_graphs.html">operations_research::Graphs</a></div><div class="ttdef"><b>Definition:</b> <a href="graphs_8h_source.html#l00027">graphs.h:27</a></div></div>
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<div class="ttc" id="classoperations__research_1_1_ebert_graph_html_aec05ff3d270a5f888e1623c2a99ff2aa"><div class="ttname"><a href="classoperations__research_1_1_ebert_graph.html#aec05ff3d270a5f888e1623c2a99ff2aa">operations_research::EbertGraph::NodeIndex</a></div><div class="ttdeci">NodeIndexType NodeIndex</div><div class="ttdef"><b>Definition:</b> <a href="ebert__graph_8h_source.html#l01224">ebert_graph.h:1224</a></div></div>
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<div class="ttc" id="structoperations__research_1_1_graphs_html_a4012242a9e38a525508c059fcfb5067c"><div class="ttname"><a href="structoperations__research_1_1_graphs.html#a4012242a9e38a525508c059fcfb5067c">operations_research::Graphs::Build</a></div><div class="ttdeci">static void Build(Graph *graph)</div><div class="ttdef"><b>Definition:</b> <a href="graphs_8h_source.html#l00042">graphs.h:42</a></div></div>
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<div class="ttc" id="classoperations__research_1_1_ebert_graph_html_a92531459eff09455cfa63976f5024906"><div class="ttname"><a href="classoperations__research_1_1_ebert_graph.html#a92531459eff09455cfa63976f5024906">operations_research::EbertGraph::ArcIndex</a></div><div class="ttdeci">ArcIndexType ArcIndex</div><div class="ttdef"><b>Definition:</b> <a href="ebert__graph_8h_source.html#l01225">ebert_graph.h:1225</a></div></div>
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<div class="ttc" id="classoperations__research_1_1_star_graph_base_html_a29774a2f068745000e90eaf549543144"><div class="ttname"><a href="classoperations__research_1_1_star_graph_base.html#a29774a2f068745000e90eaf549543144">operations_research::StarGraphBase::max_num_nodes</a></div><div class="ttdeci">NodeIndexType max_num_nodes() const</div><div class="ttdef"><b>Definition:</b> <a href="ebert__graph_8h_source.html#l00256">ebert_graph.h:256</a></div></div>
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<div class="ttc" id="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4_html_ae9cc106c6139c0b4e57057594bf56ea8"><div class="ttname"><a href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#ae9cc106c6139c0b4e57057594bf56ea8">operations_research::Graphs< operations_research::StarGraph >::OppositeArc</a></div><div class="ttdeci">static ArcIndex OppositeArc(const Graph &graph, ArcIndex arc)</div><div class="ttdef"><b>Definition:</b> <a href="graphs_8h_source.html#l00058">graphs.h:58</a></div></div>
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<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>
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<div class="ttc" id="classoperations__research_1_1_star_graph_base_html_a6dea64dce5de0432befc47f85176ab19"><div class="ttname"><a href="classoperations__research_1_1_star_graph_base.html#a6dea64dce5de0432befc47f85176ab19">operations_research::StarGraphBase::max_num_arcs</a></div><div class="ttdeci">ArcIndexType max_num_arcs() const</div><div class="ttdef"><b>Definition:</b> <a href="ebert__graph_8h_source.html#l00260">ebert_graph.h:260</a></div></div>
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<div class="ttc" id="classoperations__research_1_1_ebert_graph_html_a5e97f7ded349bc661bf63bca4c951d6b"><div class="ttname"><a href="classoperations__research_1_1_ebert_graph.html#a5e97f7ded349bc661bf63bca4c951d6b">operations_research::EbertGraph::Opposite</a></div><div class="ttdeci">ArcIndexType Opposite(const ArcIndexType arc) const</div><div class="ttdef"><b>Definition:</b> <a href="ebert__graph_8h_source.html#l01410">ebert_graph.h:1410</a></div></div>
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<div class="ttc" id="classoperations__research_1_1_ebert_graph_html_a553e5eeb2887a1d7663e1200b7466e6c"><div class="ttname"><a href="classoperations__research_1_1_ebert_graph.html#a553e5eeb2887a1d7663e1200b7466e6c">operations_research::EbertGraph::CheckArcValidity</a></div><div class="ttdeci">bool CheckArcValidity(const ArcIndexType arc) const</div><div class="ttdef"><b>Definition:</b> <a href="ebert__graph_8h_source.html#l01372">ebert_graph.h:1372</a></div></div>
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<div class="ttc" id="structoperations__research_1_1_graphs_html_ae9cc106c6139c0b4e57057594bf56ea8"><div class="ttname"><a href="structoperations__research_1_1_graphs.html#ae9cc106c6139c0b4e57057594bf56ea8">operations_research::Graphs::OppositeArc</a></div><div class="ttdeci">static ArcIndex OppositeArc(const Graph &graph, ArcIndex arc)</div><div class="ttdef"><b>Definition:</b> <a href="graphs_8h_source.html#l00030">graphs.h:30</a></div></div>
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<div class="ttc" id="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4_html_ae02cd8602383e4fb48a8a933325db5fd"><div class="ttname"><a href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#ae02cd8602383e4fb48a8a933325db5fd">operations_research::Graphs< operations_research::StarGraph >::IsArcValid</a></div><div class="ttdeci">static bool IsArcValid(const Graph &graph, ArcIndex arc)</div><div class="ttdef"><b>Definition:</b> <a href="graphs_8h_source.html#l00061">graphs.h:61</a></div></div>
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<div class="ttc" id="structoperations__research_1_1_graphs_html_ae02cd8602383e4fb48a8a933325db5fd"><div class="ttname"><a href="structoperations__research_1_1_graphs.html#ae02cd8602383e4fb48a8a933325db5fd">operations_research::Graphs::IsArcValid</a></div><div class="ttdeci">static bool IsArcValid(const Graph &graph, ArcIndex arc)</div><div class="ttdef"><b>Definition:</b> <a href="graphs_8h_source.html#l00033">graphs.h:33</a></div></div>
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<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>
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<div class="ttc" id="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4_html_ab984d754556724f92363ea83c776d45b"><div class="ttname"><a href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#ab984d754556724f92363ea83c776d45b">operations_research::Graphs< operations_research::StarGraph >::Build</a></div><div class="ttdeci">static void Build(Graph *graph, std::vector< ArcIndex > *permutation)</div><div class="ttdef"><b>Definition:</b> <a href="graphs_8h_source.html#l00071">graphs.h:71</a></div></div>
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<div class="ttc" id="structoperations__research_1_1_graphs_html_a4ddaeee9414a17257bb052c459325caf"><div class="ttname"><a href="structoperations__research_1_1_graphs.html#a4ddaeee9414a17257bb052c459325caf">operations_research::Graphs::NodeIndex</a></div><div class="ttdeci">Graph::NodeIndex NodeIndex</div><div class="ttdef"><b>Definition:</b> <a href="graphs_8h_source.html#l00029">graphs.h:29</a></div></div>
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<div class="ttc" id="structoperations__research_1_1_graphs_html_a44aa9e2f47277c91d8064c7126a2ff48"><div class="ttname"><a href="structoperations__research_1_1_graphs.html#a44aa9e2f47277c91d8064c7126a2ff48">operations_research::Graphs::ArcIndex</a></div><div class="ttdeci">Graph::ArcIndex ArcIndex</div><div class="ttdef"><b>Definition:</b> <a href="graphs_8h_source.html#l00028">graphs.h:28</a></div></div>
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<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>
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<div class="ttc" id="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4_html_a4ddaeee9414a17257bb052c459325caf"><div class="ttname"><a href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#a4ddaeee9414a17257bb052c459325caf">operations_research::Graphs< operations_research::StarGraph >::NodeIndex</a></div><div class="ttdeci">Graph::NodeIndex NodeIndex</div><div class="ttdef"><b>Definition:</b> <a href="graphs_8h_source.html#l00056">graphs.h:56</a></div></div>
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<div class="ttc" id="ebert__graph_8h_html"><div class="ttname"><a href="ebert__graph_8h.html">ebert_graph.h</a></div></div>
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<div class="ttc" id="classoperations__research_1_1_ebert_graph_html"><div class="ttname"><a href="classoperations__research_1_1_ebert_graph.html">operations_research::EbertGraph</a></div><div class="ttdef"><b>Definition:</b> <a href="ebert__graph_8h_source.html#l00189">ebert_graph.h:189</a></div></div>
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<div class="ttc" id="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4_html_a9d530d16efbea1a29d61cb0325980a50"><div class="ttname"><a href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#a9d530d16efbea1a29d61cb0325980a50">operations_research::Graphs< operations_research::StarGraph >::NodeReservation</a></div><div class="ttdeci">static NodeIndex NodeReservation(const Graph &graph)</div><div class="ttdef"><b>Definition:</b> <a href="graphs_8h_source.html#l00064">graphs.h:64</a></div></div>
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<div class="ttc" id="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4_html_a44aa9e2f47277c91d8064c7126a2ff48"><div class="ttname"><a href="structoperations__research_1_1_graphs_3_01operations__research_1_1_star_graph_01_4.html#a44aa9e2f47277c91d8064c7126a2ff48">operations_research::Graphs< operations_research::StarGraph >::ArcIndex</a></div><div class="ttdeci">Graph::ArcIndex ArcIndex</div><div class="ttdef"><b>Definition:</b> <a href="graphs_8h_source.html#l00055">graphs.h:55</a></div></div>
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<div class="ttc" id="structoperations__research_1_1_graphs_html_a42fb6857e088a176a53232b910715260"><div class="ttname"><a href="structoperations__research_1_1_graphs.html#a42fb6857e088a176a53232b910715260">operations_research::Graphs::ArcReservation</a></div><div class="ttdeci">static ArcIndex ArcReservation(const Graph &graph)</div><div class="ttdef"><b>Definition:</b> <a href="graphs_8h_source.html#l00039">graphs.h:39</a></div></div>
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