{"id":"https://openalex.org/W2893858558","doi":"https://doi.org/10.1007/s10732-018-9393-x","title":"Implementation of a maximum clique search procedure on CUDA","display_name":"Implementation of a maximum clique search procedure on CUDA","publication_year":2018,"publication_date":"2018-09-24","ids":{"openalex":"https://openalex.org/W2893858558","doi":"https://doi.org/10.1007/s10732-018-9393-x","mag":"2893858558"},"language":"en","primary_location":{"id":"doi:10.1007/s10732-018-9393-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10732-018-9393-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10732-018-9393-x.pdf","source":{"id":"https://openalex.org/S111418578","display_name":"Journal of Heuristics","issn_l":"1381-1231","issn":["1381-1231","1572-9397"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Heuristics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10732-018-9393-x.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042959568","display_name":"Pawe\u0142 Daniluk","orcid":"https://orcid.org/0000-0002-2316-6586"},"institutions":[{"id":"https://openalex.org/I4210128738","display_name":"Samsung (Poland)","ror":"https://ror.org/0381acm07","country_code":"PL","type":"company","lineage":["https://openalex.org/I2250650973","https://openalex.org/I4210128738"]},{"id":"https://openalex.org/I4210157213","display_name":"Mossakowski Medical Research Institute,  Polish Academy of Sciences","ror":"https://ror.org/05d3ntb42","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210157213","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"funder","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Pawe\u0142 Daniluk","raw_affiliation_strings":["Bioinformatics Laboratory, Mossakowski Medical Research Centre, Polish Academy of Sciences, Pawi\u0144skiego 5, 02-106, Warsaw, Poland","Samsung Research and Development Institute Poland, Plac Europejski 1, 00-844, Warsaw, Poland","Samsung Research and Development Institute Poland, Warsaw, Poland","Bioinformatics Laboratory, Mossakowski Medical Research Centre, Polish Academy of Sciences, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Bioinformatics Laboratory, Mossakowski Medical Research Centre, Polish Academy of Sciences, Pawi\u0144skiego 5, 02-106, Warsaw, Poland","institution_ids":["https://openalex.org/I4210157213"]},{"raw_affiliation_string":"Samsung Research and Development Institute Poland, Plac Europejski 1, 00-844, Warsaw, Poland","institution_ids":["https://openalex.org/I4210128738"]},{"raw_affiliation_string":"Samsung Research and Development Institute Poland, Warsaw, Poland","institution_ids":["https://openalex.org/I4210128738"]},{"raw_affiliation_string":"Bioinformatics Laboratory, Mossakowski Medical Research Centre, Polish Academy of Sciences, Warsaw, Poland","institution_ids":["https://openalex.org/I4210157213","https://openalex.org/I99542240"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036189246","display_name":"Grzegorz Firlik","orcid":null},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Grzegorz Firlik","raw_affiliation_strings":["Laboratory for Molecular Design and Bioinformatics, Faculty of Physics, University of Warsaw, Pasteura 5, 02-093, Warsaw, Poland","Laboratory for Molecular Design and Bioinformatics, Faculty of Physics, University of Warsaw, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Laboratory for Molecular Design and Bioinformatics, Faculty of Physics, University of Warsaw, Pasteura 5, 02-093, Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]},{"raw_affiliation_string":"Laboratory for Molecular Design and Bioinformatics, Faculty of Physics, University of Warsaw, Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033203327","display_name":"Bogdan Lesyng","orcid":"https://orcid.org/0000-0002-5528-902X"},"institutions":[{"id":"https://openalex.org/I4210157213","display_name":"Mossakowski Medical Research Institute,  Polish Academy of Sciences","ror":"https://ror.org/05d3ntb42","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210157213","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"funder","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Bogdan Lesyng","raw_affiliation_strings":["Bioinformatics Laboratory, Mossakowski Medical Research Centre, Polish Academy of Sciences, Pawi\u0144skiego 5, 02-106, Warsaw, Poland","Department of Biophysics, Faculty of Physics, University of Warsaw, Pasteura 5, 02-093, Warsaw, Poland","Department of Biophysics, Faculty of Physics, University of Warsaw, Warsaw, Poland","Bioinformatics Laboratory, Mossakowski Medical Research Centre, Polish Academy of Sciences, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Bioinformatics Laboratory, Mossakowski Medical Research Centre, Polish Academy of Sciences, Pawi\u0144skiego 5, 02-106, Warsaw, Poland","institution_ids":["https://openalex.org/I4210157213"]},{"raw_affiliation_string":"Department of Biophysics, Faculty of Physics, University of Warsaw, Pasteura 5, 02-093, Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]},{"raw_affiliation_string":"Department of Biophysics, Faculty of Physics, University of Warsaw, Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]},{"raw_affiliation_string":"Bioinformatics Laboratory, Mossakowski Medical Research Centre, Polish Academy of Sciences, Warsaw, Poland","institution_ids":["https://openalex.org/I4210157213","https://openalex.org/I99542240"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5042959568"],"corresponding_institution_ids":["https://openalex.org/I4210128738","https://openalex.org/I4210157213","https://openalex.org/I99542240"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.2019,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.54750159,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"25","issue":"2","first_page":"247","last_page":"271"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cuda","display_name":"CUDA","score":0.7230455875396729},{"id":"https://openalex.org/keywords/clique","display_name":"Clique","score":0.6885391473770142},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45769885182380676},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42888736724853516},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.2807384729385376},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.221366286277771}],"concepts":[{"id":"https://openalex.org/C2778119891","wikidata":"https://www.wikidata.org/wiki/Q477690","display_name":"CUDA","level":2,"score":0.7230455875396729},{"id":"https://openalex.org/C2777035058","wikidata":"https://www.wikidata.org/wiki/Q1662634","display_name":"Clique","level":2,"score":0.6885391473770142},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45769885182380676},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42888736724853516},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.2807384729385376},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.221366286277771}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10732-018-9393-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10732-018-9393-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10732-018-9393-x.pdf","source":{"id":"https://openalex.org/S111418578","display_name":"Journal of Heuristics","issn_l":"1381-1231","issn":["1381-1231","1572-9397"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Heuristics","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joheur:v:25:y:2019:i:2:d:10.1007_s10732-018-9393-x","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10732-018-9393-x","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s10732-018-9393-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10732-018-9393-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10732-018-9393-x.pdf","source":{"id":"https://openalex.org/S111418578","display_name":"Journal of Heuristics","issn_l":"1381-1231","issn":["1381-1231","1572-9397"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Heuristics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8049346350","display_name":null,"funder_award_id":"DEC-2011/03/D/NZ2/02004","funder_id":"https://openalex.org/F4320322511","funder_display_name":"Narodowe Centrum Nauki"}],"funders":[{"id":"https://openalex.org/F4320322511","display_name":"Narodowe Centrum Nauki","ror":"https://ror.org/03ha2q922"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2893858558.pdf","grobid_xml":"https://content.openalex.org/works/W2893858558.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W394619305","https://openalex.org/W1479765305","https://openalex.org/W1499240152","https://openalex.org/W1849256610","https://openalex.org/W1984217603","https://openalex.org/W1995246641","https://openalex.org/W2024685656","https://openalex.org/W2027470314","https://openalex.org/W2036279735","https://openalex.org/W2037016941","https://openalex.org/W2054144393","https://openalex.org/W2068617151","https://openalex.org/W2078732543","https://openalex.org/W2082249316","https://openalex.org/W2082603400","https://openalex.org/W2093157849","https://openalex.org/W2100505346","https://openalex.org/W2110504071","https://openalex.org/W2117713290","https://openalex.org/W2119025565","https://openalex.org/W2124637492","https://openalex.org/W2143365024","https://openalex.org/W2144952620","https://openalex.org/W2147975091","https://openalex.org/W2149454052","https://openalex.org/W2166742555","https://openalex.org/W2183091601","https://openalex.org/W2401610261","https://openalex.org/W2905110430","https://openalex.org/W4211250195","https://openalex.org/W4252973173","https://openalex.org/W6812329557"],"related_works":["https://openalex.org/W2383162333","https://openalex.org/W2306641587","https://openalex.org/W2017579069","https://openalex.org/W2932894012","https://openalex.org/W4294686023","https://openalex.org/W2982613029","https://openalex.org/W2184497179","https://openalex.org/W2030551598","https://openalex.org/W2090121768","https://openalex.org/W2350330939"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,6,65],"novel":[3],"implementation":[4,122],"of":[5,69,100,105,116,129,151],"Motzkin\u2013Straus-based":[7],"iterative":[8,15],"clique-finding":[9,85],"algorithm":[10,110],"for":[11],"GPUs.":[12,120],"The":[13,60,108],"well-known":[14],"approach":[16],"is":[17,26,46,72,168],"enhanced":[18],"by":[19,28,39,55,132],"an":[20,30,40,148],"annealing":[21],"variant,":[22,42],"where":[23,43],"better":[24],"convergence":[25],"obtained":[27],"introducing":[29],"additional":[31],"parameter":[32],"that":[33],"eliminates":[34],"certain":[35],"local":[36],"maxima,":[37],"and":[38,50,81,137,165],"attenuation":[41],"the":[44,57,101,114,142,157,162,171],"search":[45],"repeated":[47],"several":[48],"times":[49],"known":[51],"cliques":[52],"are":[53],"attenuated":[54],"reducing":[56],"edge":[58],"weights.":[59],"proposed":[61,109],"solution":[62],"belongs":[63],"to":[64,76,97,119,153],"global":[66],"optimization":[67],"class":[68],"methods.":[70,86],"It":[71,146],"particularly":[73],"well":[74],"suited":[75],"large":[77],"and/or":[78,103],"dense":[79],"graphs,":[80],"outperforms":[82],"other":[83],"popular":[84],"Therefore,":[87],"it":[88],"could":[89],"be":[90],"useful":[91],"in":[92],"many":[93],"practical":[94],"applications":[95],"related":[96],"graph":[98,163],"representations":[99],"structures":[102],"dynamics":[104],"complex":[106],"systems.":[107],"was":[111],"chosen":[112],"on":[113,161],"basis":[115],"its":[117],"portability":[118],"Our":[121],"includes":[123],"optimizations":[124],"aimed":[125],"at":[126],"maximizing":[127],"utilization":[128],"GPU":[130],"cores":[131],"delaying":[133],"some":[134],"auxiliary":[135],"computations":[136],"performing":[138],"them":[139],"simultaneously":[140],"with":[141],"main":[143],"matrix-vector":[144],"multiplication.":[145],"achieves":[147],"average":[149],"speedup":[150],"up":[152],"$$20\\,\\times":[154],"$$":[155],"over":[156],"CPU":[158],"version,":[159],"depending":[160],"size":[164],"density.":[166],"CUDA-MS":[167],"available":[169],"under":[170],"GPL":[172],"license.":[173]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}