{"id":"https://openalex.org/W2783255357","doi":"https://doi.org/10.1145/3329862","title":"A Tractable Class of Binary VCSPs via M-Convex Intersection","display_name":"A Tractable Class of Binary VCSPs via M-Convex Intersection","publication_year":2019,"publication_date":"2019-07-16","ids":{"openalex":"https://openalex.org/W2783255357","doi":"https://doi.org/10.1145/3329862","mag":"2783255357"},"language":"en","primary_location":{"id":"doi:10.1145/3329862","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3329862","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1801.02199","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Hiroshi Hirai","orcid":"https://orcid.org/0000-0002-4784-5110"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hiroshi Hirai","raw_affiliation_strings":["The University of Tokyo, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"The University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yuni Iwamasa","orcid":"https://orcid.org/0000-0002-6794-3543"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yuni Iwamasa","raw_affiliation_strings":["The University of Tokyo, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"The University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Kazuo Murota","orcid":null},"institutions":[{"id":"https://openalex.org/I69740276","display_name":"Tokyo Metropolitan University","ror":"https://ror.org/00ws30h19","country_code":"JP","type":"education","lineage":["https://openalex.org/I69740276"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kazuo Murota","raw_affiliation_strings":["Tokyo Metropolitan University, Tokyo, Japan;"],"affiliations":[{"raw_affiliation_string":"Tokyo Metropolitan University, Tokyo, Japan;","institution_ids":["https://openalex.org/I69740276"]}]},{"author_position":"last","author":{"id":null,"display_name":"Stanislav \u017divn\u00fd","orcid":"https://orcid.org/0000-0002-0263-159X"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Stanislav \u017divn\u00fd","raw_affiliation_strings":["University of Oxford, Oxford, United Kingdom"],"affiliations":[{"raw_affiliation_string":"University of Oxford, Oxford, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I74801974"],"apc_list":null,"apc_paid":null,"fwci":0.1854,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51982398,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"15","issue":"3","first_page":"1","last_page":"41"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.2939999997615814,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.2939999997615814,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.23000000417232513,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.14270000159740448,"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/unary-operation","display_name":"Unary operation","score":0.7542999982833862},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.6064000129699707},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5863999724388123},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.48080000281333923},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4747999906539917},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.45840001106262207},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4555000066757202},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4277999997138977},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4059999883174896}],"concepts":[{"id":"https://openalex.org/C78023250","wikidata":"https://www.wikidata.org/wiki/Q657596","display_name":"Unary operation","level":2,"score":0.7542999982833862},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6924999952316284},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.6064000129699707},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5863999724388123},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.539900004863739},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5221999883651733},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.48080000281333923},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4747999906539917},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.45840001106262207},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4555000066757202},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4277999997138977},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4059999883174896},{"id":"https://openalex.org/C55166926","wikidata":"https://www.wikidata.org/wiki/Q2892946","display_name":"Oracle","level":2,"score":0.40560001134872437},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.4047999978065491},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.3431999981403351},{"id":"https://openalex.org/C105462591","wikidata":"https://www.wikidata.org/wiki/Q3737844","display_name":"Binary function","level":3,"score":0.3212999999523163},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.3154999911785126},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.30070000886917114},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.29989999532699585},{"id":"https://openalex.org/C185529760","wikidata":"https://www.wikidata.org/wiki/Q164307","display_name":"Binary operation","level":2,"score":0.29899999499320984},{"id":"https://openalex.org/C80695182","wikidata":"https://www.wikidata.org/wiki/Q864134","display_name":"Binary quadratic form","level":4,"score":0.2924000024795532},{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.28439998626708984},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.2743000090122223},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.2741999924182892},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.2556000053882599},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.251800000667572},{"id":"https://openalex.org/C66690126","wikidata":"https://www.wikidata.org/wiki/Q2914302","display_name":"Concave function","level":3,"score":0.2502000033855438}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3329862","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3329862","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1801.02199","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1801.02199","pdf_url":"https://arxiv.org/pdf/1801.02199","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:arXiv.org:1904.07388","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1904.07388","pdf_url":"https://arxiv.org/pdf/1904.07388","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1801.02199","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1801.02199","pdf_url":"https://arxiv.org/pdf/1801.02199","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W966413371","https://openalex.org/W1877564947","https://openalex.org/W1973912434","https://openalex.org/W1981192617","https://openalex.org/W2016802101","https://openalex.org/W2023061756","https://openalex.org/W2035186046","https://openalex.org/W2061647611","https://openalex.org/W2068200970","https://openalex.org/W2074078071","https://openalex.org/W2075503802","https://openalex.org/W2094571546","https://openalex.org/W2146944439","https://openalex.org/W2158907148","https://openalex.org/W2564978993","https://openalex.org/W2585411755","https://openalex.org/W2609850832","https://openalex.org/W2613504727","https://openalex.org/W2950298732","https://openalex.org/W2962785950","https://openalex.org/W2963059622","https://openalex.org/W2963768895","https://openalex.org/W4210391498","https://openalex.org/W4297069203","https://openalex.org/W4388212639"],"related_works":[],"abstract_inverted_index":{"A":[0],"binary":[1,21,48,146,202],"VCSP":[2,28,49,84],"is":[3,30,65,131],"a":[4,12,81,91,100,142,179,184,197],"general":[5],"framework":[6],"for":[7,182],"the":[8,16,45,53,60,66,70,94,104,124,154,188,191,208],"minimization":[9],"problem":[10,176],"of":[11,18,27,47,55,106,127,156,187,201],"function":[13,92,101,130],"represented":[14,102,152],"as":[15,103,153],"sum":[17,105,155],"unary":[19],"and":[20,42,57,78,85,161],"cost":[22],"functions.":[23],"An":[24],"important":[25],"line":[26],"research":[29],"to":[31,52,141],"investigate":[32],"what":[33],"functions":[34,160],"can":[35,96,112,150,162],"be":[36,97,113,151,163],"solved":[37,164],"in":[38,115,165,190],"polynomial":[39,116,166],"time.":[40],"Cooper":[41],"\u017divn\u00fd":[43,79],"classified":[44],"tractability":[46],"instances":[50,149],"according":[51],"concept":[54],"\u201ctriangle,\u201d":[56],"showed":[58],"that":[59,90],"only":[61],"interesting":[62],"tractable":[63,199],"case":[64],"one":[67],"induced":[68],"by":[69,177],"joint":[71],"winner":[72],"property":[73],"(JWP).":[74],"Recently,":[75],"Iwamasa,":[76],"Murota,":[77],"made":[80],"link":[82],"between":[83],"discrete":[86],"convex":[87],"analysis,":[88],"showing":[89],"satisfying":[93],"JWP":[95,209],"transformed":[98],"into":[99],"two":[107,157],"quadratic":[108,158],"M-convex":[109,120,129,159,170],"functions,":[110],"which":[111,205],"minimized":[114],"time":[117,167],"via":[118,168],"an":[119,138,169],"intersection":[121,171],"algorithm":[122,181],"if":[123],"value":[125],"oracle":[126],"each":[128],"given.":[132],"In":[133],"this":[134,175],"article,":[135],"we":[136],"give":[137],"algorithmic":[139],"answer":[140],"natural":[143],"question:":[144],"What":[145],"finite-valued":[147,203],"CSP":[148],"algorithm?":[172],"We":[173],"solve":[174],"devising":[178],"polynomial-time":[180],"obtaining":[183],"concrete":[185],"form":[186],"representation":[189],"representable":[192],"case.":[193],"Our":[194],"result":[195],"presents":[196],"larger":[198],"class":[200],"CSPs,":[204],"properly":[206],"contains":[207],"class.":[210]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2018-01-26T00:00:00"}