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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 >   < 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" > //< / span > < / div > < div class = "line" > < a name = "l00015" > < / a > < span class = "lineno" > 15< / span >   < 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 >   < 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 >   < span class = "comment" > // and< / span > < / div > < div class = "line" > < a name = "l00018" > < / a > < span class = "lineno" > 18< / span >   < span class = "comment" > // C. Bron and J. Kerbosch, Joep, " Algorithm 457: finding all cliques of an< / span > < / div > < div class = "line" > < a name = "l00019" > < / a > < span class = "lineno" > 19< / span >   < span class = "comment" > // undirected graph" , CACM 16 (9): 575-577, 1973.< / span > < / div > < div class = "line" > < a name = "l00020" > < / a > < span class = "lineno" > 20< / span >   < span class = "comment" > // http://dl.acm.org/citation.cfm?id=362367& bnc=1.< / span > < / div > < div class = "line" > < a name = "l00021" > < / a > < span class = "lineno" > 21< / span >   < span class = "comment" > //< / span > < / div > < div class = "line" > < a name = "l00022" > < / a > < span class = "lineno" > 22< / span >   < 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 >   < / div > < div class = "line" > < a name = "l00024" > < / a > < span class = "lineno" > 24< / span >   < span class = "preprocessor" > #ifndef OR_TOOLS_GRAPH_CLIQUES_H_< / span > < / div > < div class = "line" > < a name = "l00025" > < / a > < span class = "lineno" > 25< / span >   < span class = "preprocessor" > #define OR_TOOLS_GRAPH_CLIQUES_H_< / span > < / div > < div class = "line" > < a name = "l00026" > < / a > < span class = "lineno" > 26< / span >   < / div > < div class = "line" > < a name = "l00027" > < / a > < span class = "lineno" > 27< / span >   < 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< bool(NodeIndex, NodeIndex)> 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< bool(int, int)> graph, int node_count, std::function< bool(const std::vector< int > & )> 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< K, V > & a, IdMap< K, V > & 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< bool(int, int)> graph, int node_count, std::function< bool(const std::vector< int > & )> 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< CliqueResponse(const std::vector< NodeIndex > & )> 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 & 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 >
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< 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 >
< div class = "ttc" id = "base_2logging_8h_html_ae17f8119c108cf3070bad3449c7e0006" > < div class = "ttname" > < a href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > < / div > < div class = "ttdeci" > #define DCHECK(condition)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00885" > base/logging.h:885< / a > < / div > < / div >
< div class = "ttc" id = "classabsl_1_1_strong_vector_html" > < div class = "ttname" > < a href = "classabsl_1_1_strong_vector.html" > absl::StrongVector< CandidateIndex, NodeIndex > < / 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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