{"id":"https://openalex.org/W2740538933","doi":"https://doi.org/10.24963/ijcai.2017/91","title":"Cardinality Encodings for Graph Optimization Problems","display_name":"Cardinality Encodings for Graph Optimization Problems","publication_year":2017,"publication_date":"2017-07-28","ids":{"openalex":"https://openalex.org/W2740538933","doi":"https://doi.org/10.24963/ijcai.2017/91","mag":"2740538933"},"language":"en","primary_location":{"id":"doi:10.24963/ijcai.2017/91","is_oa":true,"landing_page_url":"https://doi.org/10.24963/ijcai.2017/91","pdf_url":"https://www.ijcai.org/proceedings/2017/0091.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.ijcai.org/proceedings/2017/0091.pdf","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051305025","display_name":"Alexey Ignatiev","orcid":"https://orcid.org/0000-0002-4535-2902"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]},{"id":"https://openalex.org/I4210127387","display_name":"Siberian Branch of the Russian Academy of Sciences","ror":"https://ror.org/02frkq021","country_code":"RU","type":"funder","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210127387"]}],"countries":["PT","RU"],"is_corresponding":false,"raw_author_name":"Alexey Ignatiev","raw_affiliation_strings":["ISDCT SB RAS, Irkutsk, Russia","LASIGE, Faculdade de Ci\u00eancias, Universidade de Lisboa, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ISDCT SB RAS, Irkutsk, Russia","institution_ids":["https://openalex.org/I4210127387"]},{"raw_affiliation_string":"LASIGE, Faculdade de Ci\u00eancias, Universidade de Lisboa, Portugal","institution_ids":["https://openalex.org/I141596103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063586825","display_name":"Ant\u00f3nio Morgado","orcid":"https://orcid.org/0000-0002-5295-1321"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Antonio Morgado","raw_affiliation_strings":["LASIGE, Faculdade de Ci\u00eancias, Universidade de Lisboa, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LASIGE, Faculdade de Ci\u00eancias, Universidade de Lisboa, Portugal","institution_ids":["https://openalex.org/I141596103"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002246957","display_name":"Jo\u00e3o Marques\u2010Silva","orcid":"https://orcid.org/0000-0002-6632-3086"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Joao Marques-Silva","raw_affiliation_strings":["LASIGE, Faculdade de Ci\u00eancias, Universidade de Lisboa, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LASIGE, Faculdade de Ci\u00eancias, Universidade de Lisboa, Portugal","institution_ids":["https://openalex.org/I141596103"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3473,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.58190012,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"652","last_page":"658"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.9983999729156494,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9951000213623047,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.5960254073143005},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.575394868850708},{"id":"https://openalex.org/keywords/maximum-satisfiability-problem","display_name":"Maximum satisfiability problem","score":0.5408011674880981},{"id":"https://openalex.org/keywords/clique-problem","display_name":"Clique problem","score":0.48617023229599},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.4835969805717468},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4641585946083069},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.38789206743240356},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3381021022796631},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30194729566574097},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2899044156074524},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.27997612953186035},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13732647895812988},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.08910858631134033},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.07582050561904907}],"concepts":[{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.5960254073143005},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.575394868850708},{"id":"https://openalex.org/C111797529","wikidata":"https://www.wikidata.org/wiki/Q17080584","display_name":"Maximum satisfiability problem","level":3,"score":0.5408011674880981},{"id":"https://openalex.org/C150997102","wikidata":"https://www.wikidata.org/wiki/Q1196873","display_name":"Clique problem","level":5,"score":0.48617023229599},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.4835969805717468},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4641585946083069},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.38789206743240356},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3381021022796631},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30194729566574097},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2899044156074524},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.27997612953186035},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13732647895812988},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.08910858631134033},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.07582050561904907}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.24963/ijcai.2017/91","is_oa":true,"landing_page_url":"https://doi.org/10.24963/ijcai.2017/91","pdf_url":"https://www.ijcai.org/proceedings/2017/0091.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.24963/ijcai.2017/91","is_oa":true,"landing_page_url":"https://doi.org/10.24963/ijcai.2017/91","pdf_url":"https://www.ijcai.org/proceedings/2017/0091.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2740538933.pdf","grobid_xml":"https://content.openalex.org/works/W2740538933.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W82625556","https://openalex.org/W201592243","https://openalex.org/W1442132175","https://openalex.org/W1484343014","https://openalex.org/W1511069520","https://openalex.org/W1516453703","https://openalex.org/W1574847221","https://openalex.org/W1594951361","https://openalex.org/W1803317566","https://openalex.org/W1817993605","https://openalex.org/W1823437338","https://openalex.org/W1849256610","https://openalex.org/W1983402337","https://openalex.org/W1988588521","https://openalex.org/W2011039300","https://openalex.org/W2012413542","https://openalex.org/W2023655578","https://openalex.org/W2030455524","https://openalex.org/W2033246449","https://openalex.org/W2046112356","https://openalex.org/W2060792871","https://openalex.org/W2079439262","https://openalex.org/W2082603400","https://openalex.org/W2100609826","https://openalex.org/W2116758077","https://openalex.org/W2125050594","https://openalex.org/W2145152745","https://openalex.org/W2162691596","https://openalex.org/W2164928285","https://openalex.org/W2291939239","https://openalex.org/W2294347342","https://openalex.org/W2295574109","https://openalex.org/W2321167683","https://openalex.org/W2321467776","https://openalex.org/W2345507442","https://openalex.org/W2401610261","https://openalex.org/W2405335221","https://openalex.org/W2483357627","https://openalex.org/W2574936669","https://openalex.org/W2607539118","https://openalex.org/W2755088640","https://openalex.org/W3103809129","https://openalex.org/W4206807714","https://openalex.org/W4211250195","https://openalex.org/W4247132858"],"related_works":["https://openalex.org/W2408080066","https://openalex.org/W3152212242","https://openalex.org/W2406837904","https://openalex.org/W2394616262","https://openalex.org/W192406999","https://openalex.org/W2011371124","https://openalex.org/W2805224814","https://openalex.org/W2809690215","https://openalex.org/W2253476229","https://openalex.org/W2014111643"],"abstract_inverted_index":{"Different":[0],"optimization":[1,56],"problems":[2,34,57],"defined":[3],"on":[4,35],"graphs":[5],"find":[6],"application":[7],"in":[8,51,58],"complex":[9],"network":[10],"analysis.":[11],"Existing":[12],"propositional":[13,20],"encodings":[14,53,86],"render":[15],"impractical":[16],"the":[17,45,62,66,70,93,98,118,121],"use":[18],"of":[19,32,49,65,120],"satisfiability":[21,25],"(SAT)":[22],"and":[23],"maximum":[24,67,108],"(MaxSAT)":[26],"solvers":[27,104],"for":[28,54,61,87,110],"solving":[29],"a":[30,73,107],"variety":[31],"these":[33],"large":[36,88,111],"graphs.":[37,59,90],"This":[38],"paper":[39,46,71],"has":[40],"two":[41],"main":[42],"contributions.":[43],"First,":[44],"identifies":[47],"sources":[48],"inefficiency":[50],"existing":[52,85,102],"different":[55],"Second,":[60],"concrete":[63],"case":[64],"clique":[68,109],"problem,":[69],"develops":[72],"novel":[74],"encoding":[75,100],"which":[76],"is":[77],"shown":[78],"to":[79,105],"be":[80],"far":[81],"more":[82,115],"compact":[83],"than":[84,117],"sparse":[89,112],"More":[91],"importantly,":[92],"experimental":[94],"results":[95],"show":[96],"that":[97],"proposed":[99],"enables":[101],"SAT":[103],"compute":[106],"networks,":[113],"often":[114],"efficiently":[116],"state":[119],"art.":[122]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
