{"id":"https://openalex.org/W2047812342","doi":"https://doi.org/10.1145/1498698.1537595","title":"Finding large stable matchings","display_name":"Finding large stable matchings","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2047812342","doi":"https://doi.org/10.1145/1498698.1537595","mag":"2047812342"},"language":"en","primary_location":{"id":"doi:10.1145/1498698.1537595","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1498698.1537595","pdf_url":null,"source":{"id":"https://openalex.org/S201104086","display_name":"ACM Journal of Experimental Algorithmics","issn_l":"1084-6654","issn":["1084-6654"],"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 Journal of Experimental Algorithmics","raw_type":"journal-article"},"type":"article","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/A5030437633","display_name":"Robert W. Irving","orcid":null},"institutions":[{"id":"https://openalex.org/I7882870","display_name":"University of Glasgow","ror":"https://ror.org/00vtgdb53","country_code":"GB","type":"education","lineage":["https://openalex.org/I7882870"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Robert W. Irving","raw_affiliation_strings":["University of Glasgow, Glasgow, Scotland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Glasgow, Glasgow, Scotland","institution_ids":["https://openalex.org/I7882870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050695548","display_name":"David F. Manlove","orcid":"https://orcid.org/0000-0001-6754-7308"},"institutions":[{"id":"https://openalex.org/I7882870","display_name":"University of Glasgow","ror":"https://ror.org/00vtgdb53","country_code":"GB","type":"education","lineage":["https://openalex.org/I7882870"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"David F. Manlove","raw_affiliation_strings":["University of Glasgow, Glasgow, Scotland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Glasgow, Glasgow, Scotland","institution_ids":["https://openalex.org/I7882870"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I7882870"],"apc_list":null,"apc_paid":null,"fwci":4.2083,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.9475982,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"14","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9878000020980835,"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/T11182","display_name":"Auction Theory and Applications","score":0.972599983215332,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.8467152118682861},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.7300698161125183},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.6678004264831543},{"id":"https://openalex.org/keywords/stable-marriage-problem","display_name":"Stable marriage problem","score":0.6557143926620483},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5802075862884521},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5635266900062561},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.45325925946235657},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.45305365324020386},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39091628789901733},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38984209299087524},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3589589595794678},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35262948274612427},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.160890132188797},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07711467146873474}],"concepts":[{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.8467152118682861},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.7300698161125183},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.6678004264831543},{"id":"https://openalex.org/C146393371","wikidata":"https://www.wikidata.org/wiki/Q620702","display_name":"Stable marriage problem","level":3,"score":0.6557143926620483},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5802075862884521},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5635266900062561},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.45325925946235657},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.45305365324020386},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39091628789901733},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38984209299087524},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3589589595794678},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35262948274612427},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.160890132188797},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07711467146873474},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/1498698.1537595","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1498698.1537595","pdf_url":null,"source":{"id":"https://openalex.org/S201104086","display_name":"ACM Journal of Experimental Algorithmics","issn_l":"1084-6654","issn":["1084-6654"],"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 Journal of Experimental Algorithmics","raw_type":"journal-article"},{"id":"pmh:oai:eprints.gla.ac.uk:25733","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4210235606","display_name":"ENLIGHTEN (Jurnal Bimbingan dan Konseling Islam)","issn_l":"2622-8912","issn":["2622-8912","2622-8920"],"is_oa":false,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Articles"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.574.4693","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.574.4693","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dcs.gla.ac.uk/publications/PAPERS/9112/paper.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Gender equality","id":"https://metadata.un.org/sdg/5","score":0.6299999952316284}],"awards":[{"id":"https://openalex.org/G3117484162","display_name":"MATCH-UP: Matching Under Preferences - Algorithms and Complexity","funder_award_id":"EP/E011993/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8189797986","display_name":null,"funder_award_id":"EP/E011993/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W306172576","https://openalex.org/W1494148810","https://openalex.org/W1512121180","https://openalex.org/W1563534733","https://openalex.org/W1981139087","https://openalex.org/W1996180590","https://openalex.org/W1997300850","https://openalex.org/W1999336648","https://openalex.org/W2008816808","https://openalex.org/W2011268914","https://openalex.org/W2029062013","https://openalex.org/W2030337051","https://openalex.org/W2044175003","https://openalex.org/W2048888597","https://openalex.org/W2059209074","https://openalex.org/W2068115726","https://openalex.org/W2071503214","https://openalex.org/W2082317331","https://openalex.org/W2091887239","https://openalex.org/W2116279087","https://openalex.org/W2126904726","https://openalex.org/W2131988597","https://openalex.org/W2162195070","https://openalex.org/W2345723069","https://openalex.org/W3123159236"],"related_works":["https://openalex.org/W4322508012","https://openalex.org/W3123407378","https://openalex.org/W2054731762","https://openalex.org/W2072430061","https://openalex.org/W4224297439","https://openalex.org/W306172576","https://openalex.org/W2029062013","https://openalex.org/W4249871498","https://openalex.org/W1563534733","https://openalex.org/W4282914982"],"abstract_inverted_index":{"When":[0],"ties":[1,71],"and":[2,12,47,85,114,118,137],"incomplete":[3],"preference":[4],"lists":[5],"are":[6,72,142],"permitted":[7],"in":[8,30,64,69,132,147],"the":[9,44,86,122,129],"stable":[10,15,28,62],"marriage":[11],"hospitals/residents":[13],"problems,":[14],"matchings":[16,63],"can":[17],"have":[18],"different":[19],"sizes.":[20],"The":[21],"problem":[22,140],"of":[23,49,66,100,121],"finding":[24,60],"a":[25],"maximum":[26],"cardinality":[27],"matching":[29,150],"this":[31,52,92],"context":[32],"is":[33],"known":[34],"to":[35,112],"be":[36],"NP-hard,":[37],"even":[38],"under":[39],"very":[40],"severe":[41],"restrictions":[42],"on":[43,73],"number,":[45],"size,":[46],"position":[48],"ties.":[50],"In":[51],"article,":[53],"we":[54],"present":[55],"two":[56],"new":[57,123],"heuristics":[58,84,124],"for":[59,91],"large":[61],"variants":[65],"these":[67,83,101,138],"problems":[68],"which":[70],"one":[74,120],"side":[75],"only.":[76],"We":[77],"describe":[78],"an":[79],"empirical":[80],"study":[81],"involving":[82],"best":[87],"existing":[88],"approximation":[89],"algorithm":[90],"problem.":[93],"Our":[94],"results":[95],"indicate":[96],"that":[97,119],"all":[98],"three":[99],"algorithms":[102,109],"perform":[103],"significantly":[104],"better":[105,127],"than":[106,128],"naive":[107],"tie-breaking":[108],"when":[110],"applied":[111],"real-world":[113],"randomly-generated":[115],"data":[116],"sets":[117],"fares":[125],"slightly":[126],"other":[130],"algorithms,":[131],"most":[133],"cases.":[134],"This":[135],"study,":[136],"particular":[139],"variants,":[141],"motivated":[143],"by":[144],"important":[145],"applications":[146],"large-scale":[148],"centralized":[149],"schemes.":[151]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}