{"id":"https://openalex.org/W2027229272","doi":"https://doi.org/10.1145/1806689.1806741","title":"Matroid matching","display_name":"Matroid matching","publication_year":2010,"publication_date":"2010-06-05","ids":{"openalex":"https://openalex.org/W2027229272","doi":"https://doi.org/10.1145/1806689.1806741","mag":"2027229272"},"language":"en","primary_location":{"id":"doi:10.1145/1806689.1806741","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1806689.1806741","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-second ACM symposium on Theory of computing","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031373908","display_name":"Jon Lee","orcid":"https://orcid.org/0000-0002-8190-1091"},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jon Lee","raw_affiliation_strings":["IBM Watson Research Center, Yorktown Heights, NY, USA","[IBM Watson Research Center, Yorktown Heights, NY, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM Watson Research Center, Yorktown Heights, NY, USA","institution_ids":["https://openalex.org/I1341412227"]},{"raw_affiliation_string":"[IBM Watson Research Center, Yorktown Heights, NY, USA]","institution_ids":["https://openalex.org/I1341412227"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111449864","display_name":"Maxim Sviridenko","orcid":null},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Maxim Sviridenko","raw_affiliation_strings":["IBM Watson Research Center, Yorktown Heights, NY, USA","[IBM Watson Research Center, Yorktown Heights, NY, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM Watson Research Center, Yorktown Heights, NY, USA","institution_ids":["https://openalex.org/I1341412227"]},{"raw_affiliation_string":"[IBM Watson Research Center, Yorktown Heights, NY, USA]","institution_ids":["https://openalex.org/I1341412227"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003968234","display_name":"J. Vondr\u00e1k","orcid":"https://orcid.org/0000-0002-4674-0771"},"institutions":[{"id":"https://openalex.org/I4210085935","display_name":"IBM Research - Almaden","ror":"https://ror.org/005w8dd04","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210085935","https://openalex.org/I4210114115"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jan Vondrak","raw_affiliation_strings":["IBM Almaden Research Center, San Jose, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM Almaden Research Center, San Jose, CA, USA","institution_ids":["https://openalex.org/I4210085935"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.3832,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.95005585,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"369","last_page":"378"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998000264167786,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9998000264167786,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9994999766349792,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.9908667802810669},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.803459644317627},{"id":"https://openalex.org/keywords/matroid-partitioning","display_name":"Matroid partitioning","score":0.7932370901107788},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6702243089675903},{"id":"https://openalex.org/keywords/graphic-matroid","display_name":"Graphic matroid","score":0.6405547857284546},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.6370614767074585},{"id":"https://openalex.org/keywords/weighted-matroid","display_name":"Weighted matroid","score":0.634702742099762},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48705533146858215},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.4576626420021057},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.4464518129825592},{"id":"https://openalex.org/keywords/oriented-matroid","display_name":"Oriented matroid","score":0.43644729256629944},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.4291602075099945},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1593891978263855}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.9908667802810669},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.803459644317627},{"id":"https://openalex.org/C22425182","wikidata":"https://www.wikidata.org/wiki/Q6787906","display_name":"Matroid partitioning","level":4,"score":0.7932370901107788},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6702243089675903},{"id":"https://openalex.org/C111034964","wikidata":"https://www.wikidata.org/wiki/Q5597156","display_name":"Graphic matroid","level":3,"score":0.6405547857284546},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.6370614767074585},{"id":"https://openalex.org/C124344645","wikidata":"https://www.wikidata.org/wiki/Q7979897","display_name":"Weighted matroid","level":5,"score":0.634702742099762},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48705533146858215},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.4576626420021057},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.4464518129825592},{"id":"https://openalex.org/C178621168","wikidata":"https://www.wikidata.org/wiki/Q16155113","display_name":"Oriented matroid","level":4,"score":0.43644729256629944},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.4291602075099945},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1593891978263855},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1806689.1806741","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1806689.1806741","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-second ACM symposium on Theory of computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W60525624","https://openalex.org/W123089872","https://openalex.org/W276224435","https://openalex.org/W1482106463","https://openalex.org/W1487406052","https://openalex.org/W1493380298","https://openalex.org/W1531923420","https://openalex.org/W1539230026","https://openalex.org/W1560056453","https://openalex.org/W1562618686","https://openalex.org/W1578891227","https://openalex.org/W1680189815","https://openalex.org/W1867057885","https://openalex.org/W1963547452","https://openalex.org/W1965488728","https://openalex.org/W1966923282","https://openalex.org/W1970435155","https://openalex.org/W1978185401","https://openalex.org/W1979556948","https://openalex.org/W1988698339","https://openalex.org/W1998126097","https://openalex.org/W2000743971","https://openalex.org/W2007980488","https://openalex.org/W2011805810","https://openalex.org/W2022116437","https://openalex.org/W2023456728","https://openalex.org/W2031297526","https://openalex.org/W2043260929","https://openalex.org/W2049143039","https://openalex.org/W2059608229","https://openalex.org/W2063775175","https://openalex.org/W2064739942","https://openalex.org/W2077397558","https://openalex.org/W2087311268","https://openalex.org/W2089117840","https://openalex.org/W2099246938","https://openalex.org/W2113358778","https://openalex.org/W2113437680","https://openalex.org/W2125690626","https://openalex.org/W2132651631","https://openalex.org/W2140118062","https://openalex.org/W2143774004","https://openalex.org/W2145243417","https://openalex.org/W2148012376","https://openalex.org/W2148872782","https://openalex.org/W2152111582","https://openalex.org/W2154896222","https://openalex.org/W2327315803","https://openalex.org/W2499579848","https://openalex.org/W2561675875","https://openalex.org/W2570966096","https://openalex.org/W2611804663","https://openalex.org/W2621717961","https://openalex.org/W2757107770","https://openalex.org/W2988480584","https://openalex.org/W3022817735","https://openalex.org/W4233756358","https://openalex.org/W6677157618","https://openalex.org/W6822831480"],"related_works":["https://openalex.org/W2400862597","https://openalex.org/W1984819493","https://openalex.org/W2058489697","https://openalex.org/W2625145881","https://openalex.org/W2159059797","https://openalex.org/W2072414647","https://openalex.org/W4246417054","https://openalex.org/W2106233458","https://openalex.org/W4226057593","https://openalex.org/W2006784845"],"abstract_inverted_index":{"We":[0,28,116],"consider":[1],"the":[2,18,57,64,91,103,107,111,123,133],"classical":[3],"matroid":[4,8,34,83,92,131],"matching":[5,9,35,84],"problem.":[6,94,135],"Unweighted":[7],"for":[10,25,32,36,72,82,102,122],"linear":[11],"matroids":[12],"was":[13],"solved":[14],"by":[15],"Lovasz,":[16],"and":[17,52,76],"problem":[19,104],"is":[20],"known":[21,89],"to":[22,62,67],"be":[23],"intractable":[24],"general":[26,37],"matroids.":[27,38,115],"present":[29],"a":[30,68,80,96,100,120,127],"PTAS":[31],"unweighted":[33],"In":[39],"contrast,":[40],"we":[41,78,98],"show":[42],"that":[43],"natural":[44],"LP":[45],"relaxations":[46],"have":[47,117],"an":[48],"\u03a9(n)":[49,54],"integrality":[50],"gap":[51,65],"moreover,":[53],"rounds":[55],"of":[56,105,113,126,130],"Sherali-Adams":[58],"hierarchy":[59],"are":[60],"necessary":[61],"bring":[63],"down":[66],"constant.":[69],"More":[70],"generally,":[71],"any":[73],"fixed":[74],"k>=2":[75],"\u03b5>0,":[77],"obtain":[79,99],"(k/2+\u03b5)-approximation":[81,101],"in":[85,110],"k-uniform":[86],"hypergraphs,":[87],"also":[88,118],"as":[90],"k-parity":[93],"As":[95],"consequence,":[97],"finding":[106],"maximum-cardinality":[108],"set":[109],"intersection":[112],"k":[114],"designed":[119],"3/2-approximation":[121],"weighted":[124],"version":[125],"special":[128],"case":[129],"matching,":[132],"matchoid":[134]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":5}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2016-06-24T00:00:00"}