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<h2>C++ Reference</h2>
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<li><a href="../cpp_algorithms/annotated.html">Algorithms</a></li>
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<h1 style="color: #145A32;">C++ Reference: Graph</h1>
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<tr class="memitem:a03fc0981d2d99da114ccd8b3abc0c6e1"><td class="memItemLeft" align="right" valign="top">typedef ZVector&lt; <a class="el" href="namespaceoperations__research.html#a259d58fc853dd928f2148dbcf1ef25cd">FlowQuantity</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#a03fc0981d2d99da114ccd8b3abc0c6e1">QuantityArray</a></td></tr>
<tr class="separator:a03fc0981d2d99da114ccd8b3abc0c6e1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acbdd6fd1484828a3d5e809c551ba8cf7"><td class="memItemLeft" align="right" valign="top">typedef ZVector&lt; <a class="el" href="namespaceoperations__research.html#a1d1a935ab48f768867fc7e8607ca97b4">CostValue</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#acbdd6fd1484828a3d5e809c551ba8cf7">CostArray</a></td></tr>
<tr class="separator:acbdd6fd1484828a3d5e809c551ba8cf7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae8625c5e71962a0f99954d34dab9f92d"><td class="memItemLeft" align="right" valign="top">typedef int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#ae8625c5e71962a0f99954d34dab9f92d">PathNodeIndex</a></td></tr>
<tr class="separator:ae8625c5e71962a0f99954d34dab9f92d"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="enum-members" name="enum-members"></a>
Enumerations</h2></td></tr>
<tr class="memitem:ae6df4b4cb7c39ca06812199bbee9119c"><td class="memItemLeft" align="right" valign="top">enum class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#ae6df4b4cb7c39ca06812199bbee9119c">CliqueResponse</a> { <a class="el" href="namespaceoperations__research.html#ae6df4b4cb7c39ca06812199bbee9119ca2f453cfe638e57e27bb0c9512436111e">CONTINUE</a>
, <a class="el" href="namespaceoperations__research.html#ae6df4b4cb7c39ca06812199bbee9119ca615a46af313786fc4e349f34118be111">STOP</a>
}</td></tr>
<tr class="separator:ae6df4b4cb7c39ca06812199bbee9119c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abd4e546b0e3afb0208c7a44ee6ab4ea8"><td class="memItemLeft" align="right" valign="top">enum class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#abd4e546b0e3afb0208c7a44ee6ab4ea8">BronKerboschAlgorithmStatus</a> { <a class="el" href="namespaceoperations__research.html#abd4e546b0e3afb0208c7a44ee6ab4ea8a8f7afecbc8fbc4cd0f50a57d1172482e">COMPLETED</a>
, <a class="el" href="namespaceoperations__research.html#abd4e546b0e3afb0208c7a44ee6ab4ea8a658f2cadfdf09b6046246e9314f7cd43">INTERRUPTED</a>
}</td></tr>
<tr class="separator:abd4e546b0e3afb0208c7a44ee6ab4ea8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa0bfd11b8b2a86b10f42bd489ed72319"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#aa0bfd11b8b2a86b10f42bd489ed72319">FlowModelProto_ProblemType</a> : int { <a class="el" href="namespaceoperations__research.html#aa0bfd11b8b2a86b10f42bd489ed72319a28dbdba1ea851148274762df4451264b">FlowModelProto_ProblemType_LINEAR_SUM_ASSIGNMENT</a> = 0
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}</td></tr>
<tr class="separator:aa0bfd11b8b2a86b10f42bd489ed72319"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:acc1ef62538cd0faf409f9900fd6e2ae8"><td class="memTemplParams" colspan="2">template&lt;typename WeightFunctionType , typename GraphType &gt; </td></tr>
<tr class="memitem:acc1ef62538cd0faf409f9900fd6e2ae8"><td class="memTemplItemLeft" align="right" valign="top">absl::StatusOr&lt; std::vector&lt; std::pair&lt; typename GraphType::NodeIndex, typename GraphType::NodeIndex &gt; &gt; &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#acc1ef62538cd0faf409f9900fd6e2ae8">ComputeMinimumWeightMatching</a> (const GraphType &amp;graph, const WeightFunctionType &amp;weight)</td></tr>
<tr class="separator:acc1ef62538cd0faf409f9900fd6e2ae8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a53bf12f941f978cc1b1b985816c1fbdf"><td class="memTemplParams" colspan="2">template&lt;typename WeightFunctionType , typename GraphType &gt; </td></tr>
<tr class="memitem:a53bf12f941f978cc1b1b985816c1fbdf"><td class="memTemplItemLeft" align="right" valign="top">absl::StatusOr&lt; std::vector&lt; std::pair&lt; typename GraphType::NodeIndex, typename GraphType::NodeIndex &gt; &gt; &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#a53bf12f941f978cc1b1b985816c1fbdf">ComputeMinimumWeightMatchingWithMIP</a> (const GraphType &amp;graph, const WeightFunctionType &amp;weight)</td></tr>
<tr class="separator:a53bf12f941f978cc1b1b985816c1fbdf"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a509097448ff5705cf3e64d889362bdec"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#a509097448ff5705cf3e64d889362bdec">FindCliques</a> (std::function&lt; bool(int, int)&gt; graph, int node_count, std::function&lt; bool(const std::vector&lt; int &gt; &amp;)&gt; callback)</td></tr>
<tr class="separator:a509097448ff5705cf3e64d889362bdec"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afe4b5a6c0e4019314f288e3f4307c114"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#afe4b5a6c0e4019314f288e3f4307c114">CoverArcsByCliques</a> (std::function&lt; bool(int, int)&gt; graph, int node_count, std::function&lt; bool(const std::vector&lt; int &gt; &amp;)&gt; callback)</td></tr>
<tr class="separator:afe4b5a6c0e4019314f288e3f4307c114"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acb53c505b8fd29ceb3abdcc7dfd809ce"><td class="memTemplParams" colspan="2">template&lt;typename GraphType &gt; </td></tr>
<tr class="memitem:acb53c505b8fd29ceb3abdcc7dfd809ce"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#acb53c505b8fd29ceb3abdcc7dfd809ce">BuildLineGraph</a> (const GraphType &amp;graph, GraphType *const line_graph)</td></tr>
<tr class="separator:acb53c505b8fd29ceb3abdcc7dfd809ce"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab1cf773de0cae72d0c44efe5b8f4bb89"><td class="memTemplParams" colspan="2">template&lt;typename Graph &gt; </td></tr>
<tr class="memitem:ab1cf773de0cae72d0c44efe5b8f4bb89"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#ab1cf773de0cae72d0c44efe5b8f4bb89">IsEulerianGraph</a> (const Graph &amp;graph)</td></tr>
<tr class="separator:ab1cf773de0cae72d0c44efe5b8f4bb89"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6b312dd19c90b2af099e6f159869f7ee"><td class="memTemplParams" colspan="2">template&lt;typename <a class="el" href="namespaceoperations__research.html#a7ffcae041a5d746371436101400cdb6b">NodeIndex</a> , typename Graph &gt; </td></tr>
<tr class="memitem:a6b312dd19c90b2af099e6f159869f7ee"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#a6b312dd19c90b2af099e6f159869f7ee">IsSemiEulerianGraph</a> (const Graph &amp;graph, std::vector&lt; <a class="el" href="namespaceoperations__research.html#a7ffcae041a5d746371436101400cdb6b">NodeIndex</a> &gt; *odd_nodes)</td></tr>
<tr class="separator:a6b312dd19c90b2af099e6f159869f7ee"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aea46f8caebe966fcd0739c713011693e"><td class="memTemplParams" colspan="2">template&lt;typename <a class="el" href="namespaceoperations__research.html#a7ffcae041a5d746371436101400cdb6b">NodeIndex</a> , typename Graph &gt; </td></tr>
<tr class="memitem:aea46f8caebe966fcd0739c713011693e"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; <a class="el" href="namespaceoperations__research.html#a7ffcae041a5d746371436101400cdb6b">NodeIndex</a> &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#aea46f8caebe966fcd0739c713011693e">BuildEulerianPathFromNode</a> (const Graph &amp;graph, <a class="el" href="namespaceoperations__research.html#a7ffcae041a5d746371436101400cdb6b">NodeIndex</a> root)</td></tr>
<tr class="separator:aea46f8caebe966fcd0739c713011693e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5b4f8ac7471140527e6105ccc6e69c59"><td class="memTemplParams" colspan="2">template&lt;typename <a class="el" href="namespaceoperations__research.html#a7ffcae041a5d746371436101400cdb6b">NodeIndex</a> , typename Graph &gt; </td></tr>
<tr class="memitem:a5b4f8ac7471140527e6105ccc6e69c59"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; <a class="el" href="namespaceoperations__research.html#a7ffcae041a5d746371436101400cdb6b">NodeIndex</a> &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#a5b4f8ac7471140527e6105ccc6e69c59">BuildEulerianTourFromNode</a> (const Graph &amp;graph, <a class="el" href="namespaceoperations__research.html#a7ffcae041a5d746371436101400cdb6b">NodeIndex</a> root)</td></tr>
<tr class="separator:a5b4f8ac7471140527e6105ccc6e69c59"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad2edec3419b74442a91b597979950c5b"><td class="memTemplParams" colspan="2">template&lt;typename Graph &gt; </td></tr>
<tr class="memitem:ad2edec3419b74442a91b597979950c5b"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; typename Graph::NodeIndex &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#ad2edec3419b74442a91b597979950c5b">BuildEulerianTour</a> (const Graph &amp;graph)</td></tr>
<tr class="separator:ad2edec3419b74442a91b597979950c5b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1c554960a5c3ff8d8f9eacf5bf77377a"><td class="memTemplParams" colspan="2">template&lt;typename Graph &gt; </td></tr>
<tr class="memitem:a1c554960a5c3ff8d8f9eacf5bf77377a"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; typename Graph::NodeIndex &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#a1c554960a5c3ff8d8f9eacf5bf77377a">BuildEulerianPath</a> (const Graph &amp;graph)</td></tr>
<tr class="separator:a1c554960a5c3ff8d8f9eacf5bf77377a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae3fee0d3bb89e4913ad2269f8a1be421"><td class="memTemplParams" colspan="2">template&lt;typename CostType , typename CostFunction &gt; </td></tr>
<tr class="memitem:ae3fee0d3bb89e4913ad2269f8a1be421"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classoperations__research_1_1_hamiltonian_path_solver.html">HamiltonianPathSolver</a>&lt; CostType, CostFunction &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#ae3fee0d3bb89e4913ad2269f8a1be421">MakeHamiltonianPathSolver</a> (int num_nodes, CostFunction cost)</td></tr>
<tr class="separator:ae3fee0d3bb89e4913ad2269f8a1be421"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aefd088882d7ba8d27157eba391b02792"><td class="memTemplParams" colspan="2">template&lt;typename Graph &gt; </td></tr>
<tr class="memitem:aefd088882d7ba8d27157eba391b02792"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; typename Graph::ArcIndex &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#aefd088882d7ba8d27157eba391b02792">BuildKruskalMinimumSpanningTreeFromSortedArcs</a> (const Graph &amp;graph, const std::vector&lt; typename Graph::ArcIndex &gt; &amp;sorted_arcs)</td></tr>
<tr class="separator:aefd088882d7ba8d27157eba391b02792"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aea7ea9ecb4c13ebf26b36a576c4fdc5f"><td class="memTemplParams" colspan="2">template&lt;typename Graph , typename ArcComparator &gt; </td></tr>
<tr class="memitem:aea7ea9ecb4c13ebf26b36a576c4fdc5f"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; typename Graph::ArcIndex &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#aea7ea9ecb4c13ebf26b36a576c4fdc5f">BuildKruskalMinimumSpanningTree</a> (const Graph &amp;graph, const ArcComparator &amp;arc_comparator)</td></tr>
<tr class="separator:aea7ea9ecb4c13ebf26b36a576c4fdc5f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa7f6b276e52d86253d0798bc37f4994e"><td class="memTemplParams" colspan="2">template&lt;typename Graph , typename ArcValue &gt; </td></tr>
<tr class="memitem:aa7f6b276e52d86253d0798bc37f4994e"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; typename Graph::ArcIndex &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#aa7f6b276e52d86253d0798bc37f4994e">BuildPrimMinimumSpanningTree</a> (const Graph &amp;graph, const ArcValue &amp;arc_value)</td></tr>
<tr class="separator:aa7f6b276e52d86253d0798bc37f4994e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac5b08aa63fdd1b499b4653688c13af81"><td class="memTemplParams" colspan="2">template&lt;typename CostFunction &gt; </td></tr>
<tr class="memitem:ac5b08aa63fdd1b499b4653688c13af81"><td class="memTemplItemLeft" align="right" valign="top">std::set&lt; std::pair&lt; int, int &gt; &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#ac5b08aa63fdd1b499b4653688c13af81">NearestNeighbors</a> (int number_of_nodes, int number_of_neighbors, const CostFunction &amp;cost)</td></tr>
<tr class="separator:ac5b08aa63fdd1b499b4653688c13af81"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af916b84aff43c128a27c2f02a55ab000"><td class="memTemplParams" colspan="2">template&lt;typename CostFunction &gt; </td></tr>
<tr class="memitem:af916b84aff43c128a27c2f02a55ab000"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#af916b84aff43c128a27c2f02a55ab000">AddArcsFromMinimumSpanningTree</a> (int number_of_nodes, const CostFunction &amp;cost, std::set&lt; std::pair&lt; int, int &gt; &gt; *arcs)</td></tr>
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<tr class="memitem:aeae6cf89ac4d73d2e95cffaa0edbd687"><td class="memTemplParams" colspan="2">template&lt;typename CostFunction , typename GraphType , typename AcceptFunction &gt; </td></tr>
<tr class="memitem:aeae6cf89ac4d73d2e95cffaa0edbd687"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#aeae6cf89ac4d73d2e95cffaa0edbd687">GetNodeMinimizingEdgeCostToSource</a> (const GraphType &amp;graph, int source, const CostFunction &amp;cost, AcceptFunction accept)</td></tr>
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<tr class="memitem:a9ef4076dcc63501e6d1ecf4a3c6da31b"><td class="memTemplParams" colspan="2">template&lt;typename CostFunction , typename GraphType , typename CostType &gt; </td></tr>
<tr class="memitem:a9ef4076dcc63501e6d1ecf4a3c6da31b"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; int &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#a9ef4076dcc63501e6d1ecf4a3c6da31b">ComputeOneTree</a> (const GraphType &amp;graph, const CostFunction &amp;cost, const std::vector&lt; double &gt; &amp;weights, const std::vector&lt; int &gt; &amp;sorted_arcs, CostType *one_tree_cost)</td></tr>
<tr class="separator:a9ef4076dcc63501e6d1ecf4a3c6da31b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3ed3d609fa06ad508b3d21119f94a560"><td class="memTemplParams" colspan="2">template&lt;typename CostFunction , typename Algorithm &gt; </td></tr>
<tr class="memitem:a3ed3d609fa06ad508b3d21119f94a560"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#a3ed3d609fa06ad508b3d21119f94a560">ComputeOneTreeLowerBoundWithAlgorithm</a> (int number_of_nodes, int nearest_neighbors, const CostFunction &amp;cost, Algorithm *algorithm)</td></tr>
<tr class="separator:a3ed3d609fa06ad508b3d21119f94a560"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a516a7ec8626d689aa84729fb6f358f89"><td class="memTemplParams" colspan="2">template&lt;typename CostFunction &gt; </td></tr>
<tr class="memitem:a516a7ec8626d689aa84729fb6f358f89"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#a516a7ec8626d689aa84729fb6f358f89">ComputeOneTreeLowerBoundWithParameters</a> (int number_of_nodes, const CostFunction &amp;cost, const <a class="el" href="structoperations__research_1_1_traveling_salesman_lower_bound_parameters.html">TravelingSalesmanLowerBoundParameters</a> &amp;parameters)</td></tr>
<tr class="separator:a516a7ec8626d689aa84729fb6f358f89"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae9af26e7687cb65967941eb175148fe5"><td class="memTemplParams" colspan="2">template&lt;typename CostFunction &gt; </td></tr>
<tr class="memitem:ae9af26e7687cb65967941eb175148fe5"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#ae9af26e7687cb65967941eb175148fe5">ComputeOneTreeLowerBound</a> (int number_of_nodes, const CostFunction &amp;cost)</td></tr>
<tr class="separator:ae9af26e7687cb65967941eb175148fe5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aad8df474bac5fb8fe87bedd18faf29a6"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#aad8df474bac5fb8fe87bedd18faf29a6">DijkstraShortestPath</a> (int node_count, int start_node, int end_node, std::function&lt; int64_t(int, int)&gt; graph, int64_t disconnected_distance, std::vector&lt; int &gt; *nodes)</td></tr>
<tr class="separator:aad8df474bac5fb8fe87bedd18faf29a6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af98f2130078a8bf53c590abd744cabfa"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#af98f2130078a8bf53c590abd744cabfa">StableDijkstraShortestPath</a> (int node_count, int start_node, int end_node, std::function&lt; int64_t(int, int)&gt; graph, int64_t disconnected_distance, std::vector&lt; int &gt; *nodes)</td></tr>
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<tr class="memitem:ac17f48e66614d1a9115e67d9c2d5f737"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#ac17f48e66614d1a9115e67d9c2d5f737">BellmanFordShortestPath</a> (int node_count, int start_node, int end_node, std::function&lt; int64_t(int, int)&gt; graph, int64_t disconnected_distance, std::vector&lt; int &gt; *nodes)</td></tr>
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<tr class="memitem:a634910e6bc1101eb940ac9359c1cf675"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#a634910e6bc1101eb940ac9359c1cf675">AStarShortestPath</a> (int node_count, int start_node, int end_node, std::function&lt; int64_t(int, int)&gt; graph, std::function&lt; int64_t(int)&gt; heuristic, int64_t disconnected_distance, std::vector&lt; int &gt; *nodes)</td></tr>
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<tr class="memitem:a300398036b2dd8af020a69a4fbb235aa"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#a300398036b2dd8af020a69a4fbb235aa">FlowModelProto_ProblemType_IsValid</a> (int value)</td></tr>
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<tr class="memitem:a014f02194566deea0a671945a9b2aa10"><td class="memItemLeft" align="right" valign="top">const ::PROTOBUF_NAMESPACE_ID::EnumDescriptor *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#a014f02194566deea0a671945a9b2aa10">FlowModelProto_ProblemType_descriptor</a> ()</td></tr>
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<tr class="memitem:abe583516aeba3f5457bc5e769c97f953"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:abe583516aeba3f5457bc5e769c97f953"><td class="memTemplItemLeft" align="right" valign="top">const std::string &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#abe583516aeba3f5457bc5e769c97f953">FlowModelProto_ProblemType_Name</a> (T enum_t_value)</td></tr>
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<tr class="memitem:ad006df31468f2ddb5d3038e528a2f61c"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#ad006df31468f2ddb5d3038e528a2f61c">FlowModelProto_ProblemType_Parse</a> (::PROTOBUF_NAMESPACE_ID::ConstStringParam name, <a class="el" href="namespaceoperations__research.html#aa0bfd11b8b2a86b10f42bd489ed72319">FlowModelProto_ProblemType</a> *value)</td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="var-members" name="var-members"></a>
Variables</h2></td></tr>
<tr class="memitem:aa71e46776a31d94d7562213ebb8fdd7f"><td class="memItemLeft" align="right" valign="top">FlowArcProtoDefaultTypeInternal&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#aa71e46776a31d94d7562213ebb8fdd7f">_FlowArcProto_default_instance_</a></td></tr>
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<tr class="memitem:af9166a7a1b039550d63e5bc6d46bdcd9"><td class="memItemLeft" align="right" valign="top">FlowModelProtoDefaultTypeInternal&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#af9166a7a1b039550d63e5bc6d46bdcd9">_FlowModelProto_default_instance_</a></td></tr>
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<tr class="memitem:ac33713255cd4928f5cf23c72f3654e3c"><td class="memItemLeft" align="right" valign="top">FlowNodeProtoDefaultTypeInternal&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#ac33713255cd4928f5cf23c72f3654e3c">_FlowNodeProto_default_instance_</a></td></tr>
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<tr class="memitem:a8438ca55faa9081c1166c290319d6ce1"><td class="memItemLeft" align="right" valign="top">constexpr <a class="el" href="namespaceoperations__research.html#aa0bfd11b8b2a86b10f42bd489ed72319">FlowModelProto_ProblemType</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#a8438ca55faa9081c1166c290319d6ce1">FlowModelProto_ProblemType_ProblemType_MIN</a> = <a class="el" href="namespaceoperations__research.html#aa0bfd11b8b2a86b10f42bd489ed72319a28dbdba1ea851148274762df4451264b">FlowModelProto_ProblemType_LINEAR_SUM_ASSIGNMENT</a></td></tr>
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<tr class="memitem:ada4a474b855dba2c51b567c7225150df"><td class="memItemLeft" align="right" valign="top">constexpr <a class="el" href="namespaceoperations__research.html#aa0bfd11b8b2a86b10f42bd489ed72319">FlowModelProto_ProblemType</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#ada4a474b855dba2c51b567c7225150df">FlowModelProto_ProblemType_ProblemType_MAX</a> = <a class="el" href="namespaceoperations__research.html#aa0bfd11b8b2a86b10f42bd489ed72319aaf649c9e1a6eb02315cee72369484464">FlowModelProto_ProblemType_MIN_COST_FLOW</a></td></tr>
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<tr class="memitem:ad0924e053e8d676f03cfa3b242eee4d3"><td class="memItemLeft" align="right" valign="top">constexpr int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#ad0924e053e8d676f03cfa3b242eee4d3">FlowModelProto_ProblemType_ProblemType_ARRAYSIZE</a> = <a class="el" href="namespaceoperations__research.html#ada4a474b855dba2c51b567c7225150df">FlowModelProto_ProblemType_ProblemType_MAX</a> + 1</td></tr>
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<h2 class="groupheader">Typedef Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#aecf320bda6e95d1edaf3a546673e3e6b">&#9670;&nbsp;</a></span>ArcIndex</h2>
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<td class="memname">typedef int32_t <a class="el" href="namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b">ArcIndex</a></td>
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<p class="definition">Definition at line <a class="el" href="ebert__graph_8h_source.html#l00202">202</a> of file <a class="el" href="ebert__graph_8h_source.html">ebert_graph.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ad2ab85b2912dbf12804d3d1ddea9ec15">&#9670;&nbsp;</a></span>ArcIndexArray</h2>
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<td class="memname">typedef ZVector&lt;<a class="el" href="namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b">ArcIndex</a>&gt; <a class="el" href="namespaceoperations__research.html#ad2ab85b2912dbf12804d3d1ddea9ec15">ArcIndexArray</a></td>
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<p class="definition">Definition at line <a class="el" href="ebert__graph_8h_source.html#l00209">209</a> of file <a class="el" href="ebert__graph_8h_source.html">ebert_graph.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#acbdd6fd1484828a3d5e809c551ba8cf7">&#9670;&nbsp;</a></span>CostArray</h2>
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<td class="memname">typedef ZVector&lt;<a class="el" href="namespaceoperations__research.html#a1d1a935ab48f768867fc7e8607ca97b4">CostValue</a>&gt; <a class="el" href="namespaceoperations__research.html#acbdd6fd1484828a3d5e809c551ba8cf7">CostArray</a></td>
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<p class="definition">Definition at line <a class="el" href="ebert__graph_8h_source.html#l00211">211</a> of file <a class="el" href="ebert__graph_8h_source.html">ebert_graph.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a1d1a935ab48f768867fc7e8607ca97b4">&#9670;&nbsp;</a></span>CostValue</h2>
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<td class="memname">typedef int64_t <a class="el" href="namespaceoperations__research.html#a1d1a935ab48f768867fc7e8607ca97b4">CostValue</a></td>
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<p class="definition">Definition at line <a class="el" href="ebert__graph_8h_source.html#l00204">204</a> of file <a class="el" href="ebert__graph_8h_source.html">ebert_graph.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a259d58fc853dd928f2148dbcf1ef25cd">&#9670;&nbsp;</a></span>FlowQuantity</h2>
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<td class="memname">typedef int64_t <a class="el" href="namespaceoperations__research.html#a259d58fc853dd928f2148dbcf1ef25cd">FlowQuantity</a></td>
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<p class="definition">Definition at line <a class="el" href="ebert__graph_8h_source.html#l00203">203</a> of file <a class="el" href="ebert__graph_8h_source.html">ebert_graph.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ab49bc230c31b15a51efb44be25b30472">&#9670;&nbsp;</a></span>ForwardStarGraph</h2>
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<td class="memname">typedef <a class="el" href="classoperations__research_1_1_forward_ebert_graph.html">ForwardEbertGraph</a>&lt;<a class="el" href="namespaceoperations__research.html#a7ffcae041a5d746371436101400cdb6b">NodeIndex</a>, <a class="el" href="namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b">ArcIndex</a>&gt; <a class="el" href="namespaceoperations__research.html#ab49bc230c31b15a51efb44be25b30472">ForwardStarGraph</a></td>
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<p class="definition">Definition at line <a class="el" href="ebert__graph_8h_source.html#l00206">206</a> of file <a class="el" href="ebert__graph_8h_source.html">ebert_graph.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ab2ba507587a78ec3b72a0d62c024bc7e">&#9670;&nbsp;</a></span>ForwardStarStaticGraph</h2>
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<td class="memname">typedef <a class="el" href="classoperations__research_1_1_forward_static_graph.html">ForwardStaticGraph</a>&lt;<a class="el" href="namespaceoperations__research.html#a7ffcae041a5d746371436101400cdb6b">NodeIndex</a>, <a class="el" href="namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b">ArcIndex</a>&gt; <a class="el" href="namespaceoperations__research.html#ab2ba507587a78ec3b72a0d62c024bc7e">ForwardStarStaticGraph</a></td>
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<p class="definition">Definition at line <a class="el" href="ebert__graph_8h_source.html#l00207">207</a> of file <a class="el" href="ebert__graph_8h_source.html">ebert_graph.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a7ffcae041a5d746371436101400cdb6b">&#9670;&nbsp;</a></span>NodeIndex</h2>
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<td class="memname">typedef int32_t <a class="el" href="namespaceoperations__research.html#a7ffcae041a5d746371436101400cdb6b">NodeIndex</a></td>
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<p class="definition">Definition at line <a class="el" href="ebert__graph_8h_source.html#l00201">201</a> of file <a class="el" href="ebert__graph_8h_source.html">ebert_graph.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a48bfd7172b9a8af435198c373a8cf5e4">&#9670;&nbsp;</a></span>NodeIndexArray</h2>
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<td class="memname">typedef ZVector&lt;<a class="el" href="namespaceoperations__research.html#a7ffcae041a5d746371436101400cdb6b">NodeIndex</a>&gt; <a class="el" href="namespaceoperations__research.html#a48bfd7172b9a8af435198c373a8cf5e4">NodeIndexArray</a></td>
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<p class="definition">Definition at line <a class="el" href="ebert__graph_8h_source.html#l00208">208</a> of file <a class="el" href="ebert__graph_8h_source.html">ebert_graph.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ae8625c5e71962a0f99954d34dab9f92d">&#9670;&nbsp;</a></span>PathNodeIndex</h2>
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<td class="memname">typedef int <a class="el" href="namespaceoperations__research.html#ae8625c5e71962a0f99954d34dab9f92d">PathNodeIndex</a></td>
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<p class="definition">Definition at line <a class="el" href="hamiltonian__path_8h_source.html#l00451">451</a> of file <a class="el" href="hamiltonian__path_8h_source.html">hamiltonian_path.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a03fc0981d2d99da114ccd8b3abc0c6e1">&#9670;&nbsp;</a></span>QuantityArray</h2>
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<td class="memname">typedef ZVector&lt;<a class="el" href="namespaceoperations__research.html#a259d58fc853dd928f2148dbcf1ef25cd">FlowQuantity</a>&gt; <a class="el" href="namespaceoperations__research.html#a03fc0981d2d99da114ccd8b3abc0c6e1">QuantityArray</a></td>
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<p class="definition">Definition at line <a class="el" href="ebert__graph_8h_source.html#l00210">210</a> of file <a class="el" href="ebert__graph_8h_source.html">ebert_graph.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#af24b13c27331f67db15d6c2a3f3507e3">&#9670;&nbsp;</a></span>StarGraph</h2>
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<td class="memname">typedef <a class="el" href="classoperations__research_1_1_ebert_graph.html">EbertGraph</a>&lt;<a class="el" href="namespaceoperations__research.html#a7ffcae041a5d746371436101400cdb6b">NodeIndex</a>, <a class="el" href="namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b">ArcIndex</a>&gt; <a class="el" href="namespaceoperations__research.html#af24b13c27331f67db15d6c2a3f3507e3">StarGraph</a></td>
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<p class="definition">Definition at line <a class="el" href="ebert__graph_8h_source.html#l00205">205</a> of file <a class="el" href="ebert__graph_8h_source.html">ebert_graph.h</a>.</p>
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<h2 class="groupheader">Enumeration Type Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#abd4e546b0e3afb0208c7a44ee6ab4ea8">&#9670;&nbsp;</a></span>BronKerboschAlgorithmStatus</h2>
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<td class="memname">enum class <a class="el" href="namespaceoperations__research.html#abd4e546b0e3afb0208c7a44ee6ab4ea8">BronKerboschAlgorithmStatus</a></td>
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<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a id="abd4e546b0e3afb0208c7a44ee6ab4ea8a8f7afecbc8fbc4cd0f50a57d1172482e" name="abd4e546b0e3afb0208c7a44ee6ab4ea8a8f7afecbc8fbc4cd0f50a57d1172482e"></a>COMPLETED&#160;</td><td class="fielddoc"></td></tr>
<tr><td class="fieldname"><a id="abd4e546b0e3afb0208c7a44ee6ab4ea8a658f2cadfdf09b6046246e9314f7cd43" name="abd4e546b0e3afb0208c7a44ee6ab4ea8a658f2cadfdf09b6046246e9314f7cd43"></a>INTERRUPTED&#160;</td><td class="fielddoc"></td></tr>
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<p class="definition">Definition at line <a class="el" href="cliques_8h_source.html#l00070">70</a> of file <a class="el" href="cliques_8h_source.html">cliques.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ae6df4b4cb7c39ca06812199bbee9119c">&#9670;&nbsp;</a></span>CliqueResponse</h2>
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<td class="memname">enum class <a class="el" href="namespaceoperations__research.html#ae6df4b4cb7c39ca06812199bbee9119c">CliqueResponse</a></td>
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<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a id="ae6df4b4cb7c39ca06812199bbee9119ca2f453cfe638e57e27bb0c9512436111e" name="ae6df4b4cb7c39ca06812199bbee9119ca2f453cfe638e57e27bb0c9512436111e"></a>CONTINUE&#160;</td><td class="fielddoc"></td></tr>
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<p class="definition">Definition at line <a class="el" href="cliques_8h_source.html#l00060">60</a> of file <a class="el" href="cliques_8h_source.html">cliques.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#aa0bfd11b8b2a86b10f42bd489ed72319">&#9670;&nbsp;</a></span>FlowModelProto_ProblemType</h2>
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<td class="memname">enum <a class="el" href="namespaceoperations__research.html#aa0bfd11b8b2a86b10f42bd489ed72319">FlowModelProto_ProblemType</a> : int</td>
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<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a id="aa0bfd11b8b2a86b10f42bd489ed72319a28dbdba1ea851148274762df4451264b" name="aa0bfd11b8b2a86b10f42bd489ed72319a28dbdba1ea851148274762df4451264b"></a>FlowModelProto_ProblemType_LINEAR_SUM_ASSIGNMENT&#160;</td><td class="fielddoc"></td></tr>
<tr><td class="fieldname"><a id="aa0bfd11b8b2a86b10f42bd489ed72319a1208173643f8cbdc689f1516f7a500a9" name="aa0bfd11b8b2a86b10f42bd489ed72319a1208173643f8cbdc689f1516f7a500a9"></a>FlowModelProto_ProblemType_MAX_FLOW&#160;</td><td class="fielddoc"></td></tr>
<tr><td class="fieldname"><a id="aa0bfd11b8b2a86b10f42bd489ed72319aaf649c9e1a6eb02315cee72369484464" name="aa0bfd11b8b2a86b10f42bd489ed72319aaf649c9e1a6eb02315cee72369484464"></a>FlowModelProto_ProblemType_MIN_COST_FLOW&#160;</td><td class="fielddoc"></td></tr>
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<p class="definition">Definition at line <a class="el" href="flow__problem_8pb_8h_source.html#l00075">75</a> of file <a class="el" href="flow__problem_8pb_8h_source.html">flow_problem.pb.h</a>.</p>
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<h2 class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#af916b84aff43c128a27c2f02a55ab000">&#9670;&nbsp;</a></span>AddArcsFromMinimumSpanningTree()</h2>
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<td class="memname">void operations_research::AddArcsFromMinimumSpanningTree </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>number_of_nodes</em>, </td>
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<td class="paramtype">const CostFunction &amp;&#160;</td>
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<td class="paramtype">std::set&lt; std::pair&lt; int, int &gt; &gt; *&#160;</td>
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<p class="definition">Definition at line <a class="el" href="one__tree__lower__bound_8h_source.html#l00294">294</a> of file <a class="el" href="one__tree__lower__bound_8h_source.html">one_tree_lower_bound.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a634910e6bc1101eb940ac9359c1cf675">&#9670;&nbsp;</a></span>AStarShortestPath()</h2>
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<td class="memname">bool operations_research::AStarShortestPath </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>node_count</em>, </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>start_node</em>, </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>end_node</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">std::function&lt; int64_t(int, int)&gt;&#160;</td>
<td class="paramname"><em>graph</em>, </td>
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<td class="paramtype">std::function&lt; int64_t(int)&gt;&#160;</td>
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<td class="paramtype">int64_t&#160;</td>
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<td class="paramtype">std::vector&lt; int &gt; *&#160;</td>
<td class="paramname"><em>nodes</em>&#160;</td>
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<td>)</td>
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<h2 class="memtitle"><span class="permalink"><a href="#ac17f48e66614d1a9115e67d9c2d5f737">&#9670;&nbsp;</a></span>BellmanFordShortestPath()</h2>
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<td class="memname">bool operations_research::BellmanFordShortestPath </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>start_node</em>, </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>end_node</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">std::function&lt; int64_t(int, int)&gt;&#160;</td>
<td class="paramname"><em>graph</em>, </td>
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<td class="paramtype">int64_t&#160;</td>
<td class="paramname"><em>disconnected_distance</em>, </td>
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<td class="paramtype">std::vector&lt; int &gt; *&#160;</td>
<td class="paramname"><em>nodes</em>&#160;</td>
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<td>)</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a1c554960a5c3ff8d8f9eacf5bf77377a">&#9670;&nbsp;</a></span>BuildEulerianPath()</h2>
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<td class="memname">std::vector&lt; typename Graph::NodeIndex &gt; operations_research::BuildEulerianPath </td>
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<td class="paramtype">const Graph &amp;&#160;</td>
<td class="paramname"><em>graph</em></td><td>)</td>
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<p class="definition">Definition at line <a class="el" href="eulerian__path_8h_source.html#l00138">138</a> of file <a class="el" href="eulerian__path_8h_source.html">eulerian_path.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#aea46f8caebe966fcd0739c713011693e">&#9670;&nbsp;</a></span>BuildEulerianPathFromNode()</h2>
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<td class="memname">std::vector&lt; <a class="el" href="namespaceoperations__research.html#a7ffcae041a5d746371436101400cdb6b">NodeIndex</a> &gt; operations_research::BuildEulerianPathFromNode </td>
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<td class="paramtype">const Graph &amp;&#160;</td>
<td class="paramname"><em>graph</em>, </td>
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<td class="paramtype"><a class="el" href="namespaceoperations__research.html#a7ffcae041a5d746371436101400cdb6b">NodeIndex</a>&#160;</td>
<td class="paramname"><em>root</em>&#160;</td>
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<p class="definition">Definition at line <a class="el" href="eulerian__path_8h_source.html#l00074">74</a> of file <a class="el" href="eulerian__path_8h_source.html">eulerian_path.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ad2edec3419b74442a91b597979950c5b">&#9670;&nbsp;</a></span>BuildEulerianTour()</h2>
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<td class="memname">std::vector&lt; typename Graph::NodeIndex &gt; operations_research::BuildEulerianTour </td>
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<p class="definition">Definition at line <a class="el" href="eulerian__path_8h_source.html#l00128">128</a> of file <a class="el" href="eulerian__path_8h_source.html">eulerian_path.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a5b4f8ac7471140527e6105ccc6e69c59">&#9670;&nbsp;</a></span>BuildEulerianTourFromNode()</h2>
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<td class="memname">std::vector&lt; <a class="el" href="namespaceoperations__research.html#a7ffcae041a5d746371436101400cdb6b">NodeIndex</a> &gt; operations_research::BuildEulerianTourFromNode </td>
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<td class="paramtype">const Graph &amp;&#160;</td>
<td class="paramname"><em>graph</em>, </td>
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<td class="paramtype"><a class="el" href="namespaceoperations__research.html#a7ffcae041a5d746371436101400cdb6b">NodeIndex</a>&#160;</td>
<td class="paramname"><em>root</em>&#160;</td>
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<p class="definition">Definition at line <a class="el" href="eulerian__path_8h_source.html#l00116">116</a> of file <a class="el" href="eulerian__path_8h_source.html">eulerian_path.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#aea7ea9ecb4c13ebf26b36a576c4fdc5f">&#9670;&nbsp;</a></span>BuildKruskalMinimumSpanningTree()</h2>
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<td class="memname">std::vector&lt; typename Graph::ArcIndex &gt; operations_research::BuildKruskalMinimumSpanningTree </td>
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<td class="paramtype">const ArcComparator &amp;&#160;</td>
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<p class="definition">Definition at line <a class="el" href="minimum__spanning__tree_8h_source.html#l00089">89</a> of file <a class="el" href="minimum__spanning__tree_8h_source.html">minimum_spanning_tree.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#aefd088882d7ba8d27157eba391b02792">&#9670;&nbsp;</a></span>BuildKruskalMinimumSpanningTreeFromSortedArcs()</h2>
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<td class="memname">std::vector&lt; typename Graph::ArcIndex &gt; operations_research::BuildKruskalMinimumSpanningTreeFromSortedArcs </td>
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<td class="paramtype">const std::vector&lt; typename Graph::ArcIndex &gt; &amp;&#160;</td>
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<p class="definition">Definition at line <a class="el" href="minimum__spanning__tree_8h_source.html#l00050">50</a> of file <a class="el" href="minimum__spanning__tree_8h_source.html">minimum_spanning_tree.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#acb53c505b8fd29ceb3abdcc7dfd809ce">&#9670;&nbsp;</a></span>BuildLineGraph()</h2>
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<td class="memname">bool operations_research::BuildLineGraph </td>
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<p class="definition">Definition at line <a class="el" href="ebert__graph_8h_source.html#l02089">2089</a> of file <a class="el" href="ebert__graph_8h_source.html">ebert_graph.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#aa7f6b276e52d86253d0798bc37f4994e">&#9670;&nbsp;</a></span>BuildPrimMinimumSpanningTree()</h2>
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<td class="memname">std::vector&lt; typename Graph::ArcIndex &gt; operations_research::BuildPrimMinimumSpanningTree </td>
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<p class="definition">Definition at line <a class="el" href="minimum__spanning__tree_8h_source.html#l00115">115</a> of file <a class="el" href="minimum__spanning__tree_8h_source.html">minimum_spanning_tree.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#acc1ef62538cd0faf409f9900fd6e2ae8">&#9670;&nbsp;</a></span>ComputeMinimumWeightMatching()</h2>
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<td class="memname">absl::StatusOr&lt; std::vector&lt; std::pair&lt; typename GraphType::NodeIndex, typename GraphType::NodeIndex &gt; &gt; &gt; operations_research::ComputeMinimumWeightMatching </td>
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<td class="paramtype">const WeightFunctionType &amp;&#160;</td>
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<p class="definition">Definition at line <a class="el" href="christofides_8h_source.html#l00109">109</a> of file <a class="el" href="christofides_8h_source.html">christofides.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a53bf12f941f978cc1b1b985816c1fbdf">&#9670;&nbsp;</a></span>ComputeMinimumWeightMatchingWithMIP()</h2>
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<td class="memname">absl::StatusOr&lt; std::vector&lt; std::pair&lt; typename GraphType::NodeIndex, typename GraphType::NodeIndex &gt; &gt; &gt; operations_research::ComputeMinimumWeightMatchingWithMIP </td>
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<p class="definition">Definition at line <a class="el" href="christofides_8h_source.html#l00145">145</a> of file <a class="el" href="christofides_8h_source.html">christofides.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a9ef4076dcc63501e6d1ecf4a3c6da31b">&#9670;&nbsp;</a></span>ComputeOneTree()</h2>
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<td class="memname">std::vector&lt; int &gt; operations_research::ComputeOneTree </td>
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<td class="paramtype">const CostFunction &amp;&#160;</td>
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<td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
<td class="paramname"><em>weights</em>, </td>
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<td class="paramname"><em>sorted_arcs</em>, </td>
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<td class="paramtype">CostType *&#160;</td>
<td class="paramname"><em>one_tree_cost</em>&#160;</td>
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<p class="definition">Definition at line <a class="el" href="one__tree__lower__bound_8h_source.html#l00332">332</a> of file <a class="el" href="one__tree__lower__bound_8h_source.html">one_tree_lower_bound.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ae9af26e7687cb65967941eb175148fe5">&#9670;&nbsp;</a></span>ComputeOneTreeLowerBound()</h2>
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<td class="memname">double operations_research::ComputeOneTreeLowerBound </td>
<td>(</td>
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<td class="paramname"><em>number_of_nodes</em>, </td>
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<td class="paramtype">const CostFunction &amp;&#160;</td>
<td class="paramname"><em>cost</em>&#160;</td>
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<p class="definition">Definition at line <a class="el" href="one__tree__lower__bound_8h_source.html#l00481">481</a> of file <a class="el" href="one__tree__lower__bound_8h_source.html">one_tree_lower_bound.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a3ed3d609fa06ad508b3d21119f94a560">&#9670;&nbsp;</a></span>ComputeOneTreeLowerBoundWithAlgorithm()</h2>
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<td class="memname">double operations_research::ComputeOneTreeLowerBoundWithAlgorithm </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>number_of_nodes</em>, </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>nearest_neighbors</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const CostFunction &amp;&#160;</td>
<td class="paramname"><em>cost</em>, </td>
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<td class="paramtype">Algorithm *&#160;</td>
<td class="paramname"><em>algorithm</em>&#160;</td>
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<td>)</td>
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<p class="definition">Definition at line <a class="el" href="one__tree__lower__bound_8h_source.html#l00379">379</a> of file <a class="el" href="one__tree__lower__bound_8h_source.html">one_tree_lower_bound.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a516a7ec8626d689aa84729fb6f358f89">&#9670;&nbsp;</a></span>ComputeOneTreeLowerBoundWithParameters()</h2>
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<td class="memname">double operations_research::ComputeOneTreeLowerBoundWithParameters </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>number_of_nodes</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">const CostFunction &amp;&#160;</td>
<td class="paramname"><em>cost</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">const <a class="el" href="structoperations__research_1_1_traveling_salesman_lower_bound_parameters.html">TravelingSalesmanLowerBoundParameters</a> &amp;&#160;</td>
<td class="paramname"><em>parameters</em>&#160;</td>
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<p class="definition">Definition at line <a class="el" href="one__tree__lower__bound_8h_source.html#l00453">453</a> of file <a class="el" href="one__tree__lower__bound_8h_source.html">one_tree_lower_bound.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#afe4b5a6c0e4019314f288e3f4307c114">&#9670;&nbsp;</a></span>CoverArcsByCliques()</h2>
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<td class="memname">void operations_research::CoverArcsByCliques </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>node_count</em>, </td>
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<td class="paramtype">std::function&lt; bool(const std::vector&lt; int &gt; &amp;)&gt;&#160;</td>
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<h2 class="memtitle"><span class="permalink"><a href="#aad8df474bac5fb8fe87bedd18faf29a6">&#9670;&nbsp;</a></span>DijkstraShortestPath()</h2>
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<td class="memname">bool operations_research::DijkstraShortestPath </td>
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<td class="paramtype">int&#160;</td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>start_node</em>, </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>end_node</em>, </td>
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<td class="paramtype">std::function&lt; int64_t(int, int)&gt;&#160;</td>
<td class="paramname"><em>graph</em>, </td>
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<td class="paramtype">int64_t&#160;</td>
<td class="paramname"><em>disconnected_distance</em>, </td>
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<td class="paramtype">std::vector&lt; int &gt; *&#160;</td>
<td class="paramname"><em>nodes</em>&#160;</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a509097448ff5705cf3e64d889362bdec">&#9670;&nbsp;</a></span>FindCliques()</h2>
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<td class="memname">void operations_research::FindCliques </td>
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<td class="paramname"><em>graph</em>, </td>
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<td class="paramname"><em>node_count</em>, </td>
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<td class="paramtype">std::function&lt; bool(const std::vector&lt; int &gt; &amp;)&gt;&#160;</td>
<td class="paramname"><em>callback</em>&#160;</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a014f02194566deea0a671945a9b2aa10">&#9670;&nbsp;</a></span>FlowModelProto_ProblemType_descriptor()</h2>
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<td class="memname">const ::PROTOBUF_NAMESPACE_ID::EnumDescriptor * operations_research::FlowModelProto_ProblemType_descriptor </td>
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<h2 class="memtitle"><span class="permalink"><a href="#a300398036b2dd8af020a69a4fbb235aa">&#9670;&nbsp;</a></span>FlowModelProto_ProblemType_IsValid()</h2>
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<td class="memname">bool operations_research::FlowModelProto_ProblemType_IsValid </td>
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<h2 class="memtitle"><span class="permalink"><a href="#abe583516aeba3f5457bc5e769c97f953">&#9670;&nbsp;</a></span>FlowModelProto_ProblemType_Name()</h2>
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<td class="memname">const std::string &amp; operations_research::FlowModelProto_ProblemType_Name </td>
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<td class="paramname"><em>enum_t_value</em></td><td>)</td>
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<p class="definition">Definition at line <a class="el" href="flow__problem_8pb_8h_source.html#l00087">87</a> of file <a class="el" href="flow__problem_8pb_8h_source.html">flow_problem.pb.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ad006df31468f2ddb5d3038e528a2f61c">&#9670;&nbsp;</a></span>FlowModelProto_ProblemType_Parse()</h2>
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<td class="memname">bool operations_research::FlowModelProto_ProblemType_Parse </td>
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<td class="paramname"><em>name</em>, </td>
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<td class="paramtype"><a class="el" href="namespaceoperations__research.html#aa0bfd11b8b2a86b10f42bd489ed72319">FlowModelProto_ProblemType</a> *&#160;</td>
<td class="paramname"><em>value</em>&#160;</td>
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<p class="definition">Definition at line <a class="el" href="flow__problem_8pb_8h_source.html#l00094">94</a> of file <a class="el" href="flow__problem_8pb_8h_source.html">flow_problem.pb.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#aeae6cf89ac4d73d2e95cffaa0edbd687">&#9670;&nbsp;</a></span>GetNodeMinimizingEdgeCostToSource()</h2>
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<td class="memname">int operations_research::GetNodeMinimizingEdgeCostToSource </td>
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<td class="paramtype">const CostFunction &amp;&#160;</td>
<td class="paramname"><em>cost</em>, </td>
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<td class="paramtype">AcceptFunction&#160;</td>
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<p class="definition">Definition at line <a class="el" href="one__tree__lower__bound_8h_source.html#l00311">311</a> of file <a class="el" href="one__tree__lower__bound_8h_source.html">one_tree_lower_bound.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ab1cf773de0cae72d0c44efe5b8f4bb89">&#9670;&nbsp;</a></span>IsEulerianGraph()</h2>
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<td class="memname">bool operations_research::IsEulerianGraph </td>
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<p class="definition">Definition at line <a class="el" href="eulerian__path_8h_source.html#l00040">40</a> of file <a class="el" href="eulerian__path_8h_source.html">eulerian_path.h</a>.</p>
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<td class="memname">bool operations_research::IsSemiEulerianGraph </td>
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<td class="paramtype">std::vector&lt; <a class="el" href="namespaceoperations__research.html#a7ffcae041a5d746371436101400cdb6b">NodeIndex</a> &gt; *&#160;</td>
<td class="paramname"><em>odd_nodes</em>&#160;</td>
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<p class="definition">Definition at line <a class="el" href="eulerian__path_8h_source.html#l00055">55</a> of file <a class="el" href="eulerian__path_8h_source.html">eulerian_path.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ae3fee0d3bb89e4913ad2269f8a1be421">&#9670;&nbsp;</a></span>MakeHamiltonianPathSolver()</h2>
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<td class="memname"><a class="el" href="classoperations__research_1_1_hamiltonian_path_solver.html">HamiltonianPathSolver</a>&lt; CostType, CostFunction &gt; operations_research::MakeHamiltonianPathSolver </td>
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<td class="paramname"><em>cost</em>&#160;</td>
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<p class="definition">Definition at line <a class="el" href="hamiltonian__path_8h_source.html#l00600">600</a> of file <a class="el" href="hamiltonian__path_8h_source.html">hamiltonian_path.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ac5b08aa63fdd1b499b4653688c13af81">&#9670;&nbsp;</a></span>NearestNeighbors()</h2>
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<td class="memname">std::set&lt; std::pair&lt; int, int &gt; &gt; operations_research::NearestNeighbors </td>
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<p class="definition">Definition at line <a class="el" href="one__tree__lower__bound_8h_source.html#l00263">263</a> of file <a class="el" href="one__tree__lower__bound_8h_source.html">one_tree_lower_bound.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#af98f2130078a8bf53c590abd744cabfa">&#9670;&nbsp;</a></span>StableDijkstraShortestPath()</h2>
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<td class="memname">bool operations_research::StableDijkstraShortestPath </td>
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<td class="paramtype">std::function&lt; int64_t(int, int)&gt;&#160;</td>
<td class="paramname"><em>graph</em>, </td>
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<td class="paramname"><em>disconnected_distance</em>, </td>
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<h2 class="groupheader">Variable Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#aa71e46776a31d94d7562213ebb8fdd7f">&#9670;&nbsp;</a></span>_FlowArcProto_default_instance_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#af9166a7a1b039550d63e5bc6d46bdcd9">&#9670;&nbsp;</a></span>_FlowModelProto_default_instance_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ac33713255cd4928f5cf23c72f3654e3c">&#9670;&nbsp;</a></span>_FlowNodeProto_default_instance_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ad0924e053e8d676f03cfa3b242eee4d3">&#9670;&nbsp;</a></span>FlowModelProto_ProblemType_ProblemType_ARRAYSIZE</h2>
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<td class="memname">constexpr int FlowModelProto_ProblemType_ProblemType_ARRAYSIZE = <a class="el" href="namespaceoperations__research.html#ada4a474b855dba2c51b567c7225150df">FlowModelProto_ProblemType_ProblemType_MAX</a> + 1</td>
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<p class="definition">Definition at line <a class="el" href="flow__problem_8pb_8h_source.html#l00083">83</a> of file <a class="el" href="flow__problem_8pb_8h_source.html">flow_problem.pb.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ada4a474b855dba2c51b567c7225150df">&#9670;&nbsp;</a></span>FlowModelProto_ProblemType_ProblemType_MAX</h2>
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<td class="memname">constexpr <a class="el" href="namespaceoperations__research.html#aa0bfd11b8b2a86b10f42bd489ed72319">FlowModelProto_ProblemType</a> FlowModelProto_ProblemType_ProblemType_MAX = <a class="el" href="namespaceoperations__research.html#aa0bfd11b8b2a86b10f42bd489ed72319aaf649c9e1a6eb02315cee72369484464">FlowModelProto_ProblemType_MIN_COST_FLOW</a></td>
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<p class="definition">Definition at line <a class="el" href="flow__problem_8pb_8h_source.html#l00082">82</a> of file <a class="el" href="flow__problem_8pb_8h_source.html">flow_problem.pb.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a8438ca55faa9081c1166c290319d6ce1">&#9670;&nbsp;</a></span>FlowModelProto_ProblemType_ProblemType_MIN</h2>
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<td class="memname">constexpr <a class="el" href="namespaceoperations__research.html#aa0bfd11b8b2a86b10f42bd489ed72319">FlowModelProto_ProblemType</a> FlowModelProto_ProblemType_ProblemType_MIN = <a class="el" href="namespaceoperations__research.html#aa0bfd11b8b2a86b10f42bd489ed72319a28dbdba1ea851148274762df4451264b">FlowModelProto_ProblemType_LINEAR_SUM_ASSIGNMENT</a></td>
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<p class="definition">Definition at line <a class="el" href="flow__problem_8pb_8h_source.html#l00081">81</a> of file <a class="el" href="flow__problem_8pb_8h_source.html">flow_problem.pb.h</a>.</p>
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