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<a href="cliques_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">// Copyright 2010-2021 Google LLC</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment">// Licensed under the Apache License, Version 2.0 (the &quot;License&quot;);</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment">// you may not use this file except in compliance with the License.</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment">// You may obtain a copy of the License at</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment">// distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment">// See the License for the specific language governing permissions and</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment">// limitations under the License.</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;</div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="comment">// Maximal clique algorithms, based on the Bron-Kerbosch algorithm.</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="comment">// See http://en.wikipedia.org/wiki/Bron-Kerbosch_algorithm</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="comment">// and</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="comment">// C. Bron and J. Kerbosch, Joep, &quot;Algorithm 457: finding all cliques of an</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="comment">// undirected graph&quot;, CACM 16 (9): 575-577, 1973.</span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="comment">// http://dl.acm.org/citation.cfm?id=362367&amp;bnc=1.</span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="comment">// Keywords: undirected graph, clique, clique cover, Bron, Kerbosch.</span></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;</div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="preprocessor">#ifndef OR_TOOLS_GRAPH_CLIQUES_H_</span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="preprocessor">#define OR_TOOLS_GRAPH_CLIQUES_H_</span></div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;</div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class=
<div class="ttc" id="base_2logging_8h_html_a3e1cfef60e774a81f30eaddf26a3a274"><div class="ttname"><a href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a></div><div class="ttdeci">#define CHECK(condition)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00491">base/logging.h:491</a></div></div>
<div class="ttc" id="classoperations__research_1_1_time_limit_html"><div class="ttname"><a href="classoperations__research_1_1_time_limit.html">operations_research::TimeLimit</a></div><div class="ttdoc">A simple class to enforce both an elapsed time limit and a deterministic time limit in the same threa...</div><div class="ttdef"><b>Definition:</b> <a href="time__limit_8h_source.html#l00105">time_limit.h:105</a></div></div>
<div class="ttc" id="classoperations__research_1_1_bron_kerbosch_algorithm_html_a18c56882f1ab1cfb8a93b0c3c23f1e77"><div class="ttname"><a href="classoperations__research_1_1_bron_kerbosch_algorithm.html#a18c56882f1ab1cfb8a93b0c3c23f1e77">operations_research::BronKerboschAlgorithm::BronKerboschAlgorithm</a></div><div class="ttdeci">BronKerboschAlgorithm(IsArcCallback is_arc, NodeIndex num_nodes, CliqueCallback clique_callback)</div><div class="ttdef"><b>Definition:</b> <a href="cliques_8h_source.html#l00166">cliques.h:166</a></div></div>
<div class="ttc" id="classoperations__research_1_1_bron_kerbosch_algorithm_html_ab7e6d525ff89ae730a1c917f3dccc3f0"><div class="ttname"><a href="classoperations__research_1_1_bron_kerbosch_algorithm.html#ab7e6d525ff89ae730a1c917f3dccc3f0">operations_research::BronKerboschAlgorithm::IsArcCallback</a></div><div class="ttdeci">std::function&lt; bool(NodeIndex, NodeIndex)&gt; IsArcCallback</div><div class="ttdef"><b>Definition:</b> <a href="cliques_8h_source.html#l00152">cliques.h:152</a></div></div>
<div class="ttc" id="classoperations__research_1_1_bron_kerbosch_algorithm_html_a4eb3c164e162e27f2d6ca3dd0b7355d4"><div class="ttname"><a href="classoperations__research_1_1_bron_kerbosch_algorithm.html#a4eb3c164e162e27f2d6ca3dd0b7355d4">operations_research::BronKerboschAlgorithm::RunWithTimeLimit</a></div><div class="ttdeci">BronKerboschAlgorithmStatus RunWithTimeLimit(int64_t max_num_iterations, TimeLimit *time_limit)</div><div class="ttdef"><b>Definition:</b> <a href="cliques_8h_source.html#l00511">cliques.h:511</a></div></div>
<div class="ttc" id="cp__model__solver_8cc_html_aec8af5c1be4e1b6d4330e1161028de21"><div class="ttname"><a href="cp__model__solver_8cc.html#aec8af5c1be4e1b6d4330e1161028de21">time_limit</a></div><div class="ttdeci">ModelSharedTimeLimit * time_limit</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__solver_8cc_source.html#l02013">cp_model_solver.cc:2013</a></div></div>
<div class="ttc" id="namespaceoperations__research_html_af7f3504c258b748227551a4d7b7bf036"><div class="ttname"><a href="namespaceoperations__research.html#af7f3504c258b748227551a4d7b7bf036">operations_research::FindCliques</a></div><div class="ttdeci">void FindCliques(std::function&lt; bool(int, int)&gt; graph, int node_count, std::function&lt; bool(const std::vector&lt; int &gt; &amp;)&gt; callback)</div><div class="ttdef"><b>Definition:</b> <a href="cliques_8cc_source.html#l00226">cliques.cc:226</a></div></div>
<div class="ttc" id="int__type_8h_html"><div class="ttname"><a href="int__type_8h.html">int_type.h</a></div></div>
<div class="ttc" id="namespaceoperations__research_html_abd4e546b0e3afb0208c7a44ee6ab4ea8a8f7afecbc8fbc4cd0f50a57d1172482e"><div class="ttname"><a href="namespaceoperations__research.html#abd4e546b0e3afb0208c7a44ee6ab4ea8a8f7afecbc8fbc4cd0f50a57d1172482e">operations_research::BronKerboschAlgorithmStatus::COMPLETED</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1math__opt_html_a5de89a1f6e3f80a49a0d76136d8044e2"><div class="ttname"><a href="namespaceoperations__research_1_1math__opt.html#a5de89a1f6e3f80a49a0d76136d8044e2">operations_research::math_opt::swap</a></div><div class="ttdeci">void swap(IdMap&lt; K, V &gt; &amp;a, IdMap&lt; K, V &gt; &amp;b)</div><div class="ttdef"><b>Definition:</b> <a href="id__map_8h_source.html#l00263">id_map.h:263</a></div></div>
<div class="ttc" id="gurobi__interface_8cc_html_a6627a3800ac768bb5528ef54c9cace36"><div class="ttname"><a href="gurobi__interface_8cc.html#a6627a3800ac768bb5528ef54c9cace36">callback</a></div><div class="ttdeci">MPCallback * callback</div><div class="ttdef"><b>Definition:</b> <a href="gurobi__interface_8cc_source.html#l00514">gurobi_interface.cc:514</a></div></div>
<div class="ttc" id="time__limit_8h_html"><div class="ttname"><a href="time__limit_8h.html">time_limit.h</a></div></div>
<div class="ttc" id="namespaceoperations__research_html_abd4e546b0e3afb0208c7a44ee6ab4ea8"><div class="ttname"><a href="namespaceoperations__research.html#abd4e546b0e3afb0208c7a44ee6ab4ea8">operations_research::BronKerboschAlgorithmStatus</a></div><div class="ttdeci">BronKerboschAlgorithmStatus</div><div class="ttdef"><b>Definition:</b> <a href="cliques_8h_source.html#l00070">cliques.h:70</a></div></div>
<div class="ttc" id="classoperations__research_1_1_bron_kerbosch_algorithm_html_a2f5f0a127dbe36c5518b68872efd8ad1"><div class="ttname"><a href="classoperations__research_1_1_bron_kerbosch_algorithm.html#a2f5f0a127dbe36c5518b68872efd8ad1">operations_research::BronKerboschAlgorithm::RunIterations</a></div><div class="ttdeci">BronKerboschAlgorithmStatus RunIterations(int64_t max_num_iterations)</div><div class="ttdef"><b>Definition:</b> <a href="cliques_8h_source.html#l00549">cliques.h:549</a></div></div>
<div class="ttc" id="classoperations__research_1_1_bron_kerbosch_algorithm_html_a14ad57c326955d7c5be67f0e444ff9eb"><div class="ttname"><a href="classoperations__research_1_1_bron_kerbosch_algorithm.html#a14ad57c326955d7c5be67f0e444ff9eb">operations_research::BronKerboschAlgorithm::Run</a></div><div class="ttdeci">BronKerboschAlgorithmStatus Run()</div><div class="ttdef"><b>Definition:</b> <a href="cliques_8h_source.html#l00556">cliques.h:556</a></div></div>
<div class="ttc" id="classoperations__research_1_1_bron_kerbosch_algorithm_html"><div class="ttname"><a href="classoperations__research_1_1_bron_kerbosch_algorithm.html">operations_research::BronKerboschAlgorithm</a></div><div class="ttdef"><b>Definition:</b> <a href="cliques_8h_source.html#l00146">cliques.h:146</a></div></div>
<div class="ttc" id="namespaceoperations__research_html_abd4e546b0e3afb0208c7a44ee6ab4ea8a658f2cadfdf09b6046246e9314f7cd43"><div class="ttname"><a href="namespaceoperations__research.html#abd4e546b0e3afb0208c7a44ee6ab4ea8a658f2cadfdf09b6046246e9314f7cd43">operations_research::BronKerboschAlgorithmStatus::INTERRUPTED</a></div></div>
<div class="ttc" id="alldiff__cst_8cc_html_a26e6db9bcc64b584051ecc28171ed11f"><div class="ttname"><a href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a></div><div class="ttdeci">int64_t max</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00140">alldiff_cst.cc:140</a></div></div>
<div class="ttc" id="strong__vector_8h_html"><div class="ttname"><a href="strong__vector_8h.html">strong_vector.h</a></div></div>
<div class="ttc" id="namespaceoperations__research_html_ae6df4b4cb7c39ca06812199bbee9119ca2f453cfe638e57e27bb0c9512436111e"><div class="ttname"><a href="namespaceoperations__research.html#ae6df4b4cb7c39ca06812199bbee9119ca2f453cfe638e57e27bb0c9512436111e">operations_research::CliqueResponse::CONTINUE</a></div></div>
<div class="ttc" id="namespaceoperations__research_html_ae6df4b4cb7c39ca06812199bbee9119ca615a46af313786fc4e349f34118be111"><div class="ttname"><a href="namespaceoperations__research.html#ae6df4b4cb7c39ca06812199bbee9119ca615a46af313786fc4e349f34118be111">operations_research::CliqueResponse::STOP</a></div></div>
<div class="ttc" id="classabsl_1_1_strong_vector_html_a644718bb2fb240de962dc3c9a1fdf0dc"><div class="ttname"><a href="classabsl_1_1_strong_vector.html#a644718bb2fb240de962dc3c9a1fdf0dc">absl::StrongVector::empty</a></div><div class="ttdeci">bool empty() const</div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00156">strong_vector.h:156</a></div></div>
<div class="ttc" id="namespaceoperations__research_html_a5986867bcb6d1470fd6c27438d289fcd"><div class="ttname"><a href="namespaceoperations__research.html#a5986867bcb6d1470fd6c27438d289fcd">operations_research::CoverArcsByCliques</a></div><div class="ttdeci">void CoverArcsByCliques(std::function&lt; bool(int, int)&gt; graph, int node_count, std::function&lt; bool(const std::vector&lt; int &gt; &amp;)&gt; callback)</div><div class="ttdef"><b>Definition:</b> <a href="cliques_8cc_source.html#l00240">cliques.cc:240</a></div></div>
<div class="ttc" id="classoperations__research_1_1_bron_kerbosch_algorithm_html_aff90108523eb5a8ec3549adc67355aa1"><div class="ttname"><a href="classoperations__research_1_1_bron_kerbosch_algorithm.html#aff90108523eb5a8ec3549adc67355aa1">operations_research::BronKerboschAlgorithm::CliqueCallback</a></div><div class="ttdeci">std::function&lt; CliqueResponse(const std::vector&lt; NodeIndex &gt; &amp;)&gt; CliqueCallback</div><div class="ttdef"><b>Definition:</b> <a href="cliques_8h_source.html#l00162">cliques.h:162</a></div></div>
<div class="ttc" id="classabsl_1_1_strong_vector_html_a9263000d449fdccb6cb70b303063e60b"><div class="ttname"><a href="classabsl_1_1_strong_vector.html#a9263000d449fdccb6cb70b303063e60b">absl::StrongVector::push_back</a></div><div class="ttdeci">void push_back(const value_type &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00158">strong_vector.h:158</a></div></div>
<div class="ttc" id="namespaceoperations__research_html_ae6df4b4cb7c39ca06812199bbee9119c"><div class="ttname"><a href="namespaceoperations__research.html#ae6df4b4cb7c39ca06812199bbee9119c">operations_research::CliqueResponse</a></div><div class="ttdeci">CliqueResponse</div><div class="ttdef"><b>Definition:</b> <a href="cliques_8h_source.html#l00060">cliques.h:60</a></div></div>
<div class="ttc" id="base_2logging_8h_html_aa8321e154105ff593fc7160e3f1a5d91"><div class="ttname"><a href="base_2logging_8h.html#aa8321e154105ff593fc7160e3f1a5d91">DVLOG</a></div><div class="ttdeci">#define DVLOG(verboselevel)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00877">base/logging.h:877</a></div></div>
<div class="ttc" id="cp__model__solver_8cc_html_abcd33b18ce6d5a90a4ba5c37cfa58829"><div class="ttname"><a href="cp__model__solver_8cc.html#abcd33b18ce6d5a90a4ba5c37cfa58829">response</a></div><div class="ttdeci">SharedResponseManager * response</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__solver_8cc_source.html#l02015">cp_model_solver.cc:2015</a></div></div>
<div class="ttc" id="trace_8cc_html_a36bd74109f547f7f8198faf5a12d2879"><div class="ttname"><a href="trace_8cc.html#a36bd74109f547f7f8198faf5a12d2879">message</a></div><div class="ttdeci">std::string message</div><div class="ttdef"><b>Definition:</b> <a href="trace_8cc_source.html#l00398">trace.cc:398</a></div></div>
<div class="ttc" id="classabsl_1_1_strong_vector_html_a60304b65bf89363bcc3165d3cde67f86"><div class="ttname"><a href="classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86">absl::StrongVector::size</a></div><div class="ttdeci">size_type size() const</div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00147">strong_vector.h:147</a></div></div>
<div class="ttc" id="base_2logging_8h_html"><div class="ttname"><a href="base_2logging_8h.html">logging.h</a></div></div>
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<div class="ttc" id="classabsl_1_1_strong_vector_html"><div class="ttname"><a href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt; CandidateIndex, NodeIndex &gt;</a></div></div>
<div class="ttc" id="namespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdoc">Collection of objects used to extend the Constraint Solver library.</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
<div class="ttc" id="classabsl_1_1_strong_vector_html_a562f7b24b47d3e7632a9896935c14d8b"><div class="ttname"><a href="classabsl_1_1_strong_vector.html#a562f7b24b47d3e7632a9896935c14d8b">absl::StrongVector::reserve</a></div><div class="ttdeci">void reserve(size_type n)</div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00157">strong_vector.h:157</a></div></div>
<div class="ttc" id="classoperations__research_1_1_bron_kerbosch_algorithm_html_a8594a59f12eedf7ed0d8f8d2e56ca751"><div class="ttname"><a href="classoperations__research_1_1_bron_kerbosch_algorithm.html#a8594a59f12eedf7ed0d8f8d2e56ca751">operations_research::BronKerboschAlgorithm::RunWithTimeLimit</a></div><div class="ttdeci">BronKerboschAlgorithmStatus RunWithTimeLimit(TimeLimit *time_limit)</div><div class="ttdef"><b>Definition:</b> <a href="cliques_8h_source.html#l00206">cliques.h:206</a></div></div>
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