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<h1 style="color: #145A32;">C++ Reference: Graph</h1>
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<a href="shortestpaths_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 2010-2018 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">// This file contains various shortest paths utilities.</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="comment">// Keywords: directed graph, cheapest path, shortest path, Dijkstra, spp.</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;</div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="preprocessor">#ifndef OR_TOOLS_GRAPH_SHORTESTPATHS_H_</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="preprocessor">#define OR_TOOLS_GRAPH_SHORTESTPATHS_H_</span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;</div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="preprocessor">#include &lt;functional&gt;</span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="preprocessor">#include &lt;memory&gt;</span></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;</div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="preprocessor">#include &quot;ortools/base/integral_types.h&quot;</span></div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="preprocessor">#include &quot;ortools/base/macros.h&quot;</span></div><div class="line"><a name="l0002
<div class="ttc" id="namespaceoperations__research_html_ad5bfec6ea714171fbff2d8b791d0d286"><div class="ttname"><a href="namespaceoperations__research.html#ad5bfec6ea714171fbff2d8b791d0d286">operations_research::BellmanFordShortestPath</a></div><div class="ttdeci">bool BellmanFordShortestPath(int node_count, int start_node, int end_node, std::function&lt; int64(int, int)&gt; graph, int64 disconnected_distance, std::vector&lt; int &gt; *nodes)</div></div>
<div class="ttc" id="namespaceoperations__research_html_a53e6a83fcbd689abf5b3078b0236f9f1"><div class="ttname"><a href="namespaceoperations__research.html#a53e6a83fcbd689abf5b3078b0236f9f1">operations_research::DijkstraShortestPath</a></div><div class="ttdeci">bool DijkstraShortestPath(int node_count, int start_node, int end_node, std::function&lt; int64(int, int)&gt; graph, int64 disconnected_distance, std::vector&lt; int &gt; *nodes)</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#l00033">christofides.h:33</a></div></div>
<div class="ttc" id="namespaceoperations__research_html_ad56bae19a2298c3163af96ca7f8b89b1"><div class="ttname"><a href="namespaceoperations__research.html#ad56bae19a2298c3163af96ca7f8b89b1">operations_research::StableDijkstraShortestPath</a></div><div class="ttdeci">bool StableDijkstraShortestPath(int node_count, int start_node, int end_node, std::function&lt; int64(int, int)&gt; graph, int64 disconnected_distance, std::vector&lt; int &gt; *nodes)</div></div>
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