{"id":"https://openalex.org/W3063332968","doi":"https://doi.org/10.1145/3565558","title":"Stable Matchings with Restricted Preferences: Structure and Complexity","display_name":"Stable Matchings with Restricted Preferences: Structure and Complexity","publication_year":2022,"publication_date":"2022-09-30","ids":{"openalex":"https://openalex.org/W3063332968","doi":"https://doi.org/10.1145/3565558","mag":"3063332968"},"language":"en","primary_location":{"id":"doi:10.1145/3565558","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3565558","pdf_url":null,"source":{"id":"https://openalex.org/S4210173995","display_name":"ACM Transactions on Economics and Computation","issn_l":"2167-8375","issn":["2167-8375","2167-8383"],"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 Economics and Computation","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/A5101427454","display_name":"Christine T. Cheng","orcid":"https://orcid.org/0000-0003-0524-5368"},"institutions":[{"id":"https://openalex.org/I43579087","display_name":"University of Wisconsin\u2013Milwaukee","ror":"https://ror.org/031q21x57","country_code":"US","type":"education","lineage":["https://openalex.org/I43579087"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Christine T. Cheng","raw_affiliation_strings":["University of Wisconsin, Milwaukee, WI, USA"],"raw_orcid":"https://orcid.org/0000-0003-0524-5368","affiliations":[{"raw_affiliation_string":"University of Wisconsin, Milwaukee, WI, USA","institution_ids":["https://openalex.org/I43579087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050493171","display_name":"Will Rosenbaum","orcid":"https://orcid.org/0000-0002-7723-9090"},"institutions":[{"id":"https://openalex.org/I177605424","display_name":"Amherst College","ror":"https://ror.org/028vqfs63","country_code":"US","type":"education","lineage":["https://openalex.org/I177605424"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Will Rosenbaum","raw_affiliation_strings":["Amherst College, Amherst, MA, USA"],"raw_orcid":"https://orcid.org/0000-0002-7723-9090","affiliations":[{"raw_affiliation_string":"Amherst College, Amherst, MA, USA","institution_ids":["https://openalex.org/I177605424"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101427454"],"corresponding_institution_ids":["https://openalex.org/I43579087"],"apc_list":null,"apc_paid":null,"fwci":0.2742,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.70657951,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"10","issue":"3","first_page":"1","last_page":"45"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9825000166893005,"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":0.9758999943733215,"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/stable-marriage-problem","display_name":"Stable marriage problem","score":0.8608623743057251},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8064419031143188},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.7805824875831604},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.708340048789978},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6732736825942993},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6267762780189514},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.6207374334335327},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5382912158966064},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.49988770484924316},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.4537636339664459},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3970184624195099},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20835080742835999},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08669772744178772}],"concepts":[{"id":"https://openalex.org/C146393371","wikidata":"https://www.wikidata.org/wiki/Q620702","display_name":"Stable marriage problem","level":3,"score":0.8608623743057251},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8064419031143188},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.7805824875831604},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.708340048789978},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6732736825942993},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6267762780189514},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.6207374334335327},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5382912158966064},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.49988770484924316},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.4537636339664459},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3970184624195099},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20835080742835999},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08669772744178772},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3565558","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3565558","pdf_url":null,"source":{"id":"https://openalex.org/S4210173995","display_name":"ACM Transactions on Economics and Computation","issn_l":"2167-8375","issn":["2167-8375","2167-8383"],"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 Economics and Computation","raw_type":"journal-article"},{"id":"pmh:oai:dc.uwm.edu:comsci_facart-1002","is_oa":false,"landing_page_url":"https://dc.uwm.edu/comsci_facart/2","pdf_url":null,"source":{"id":"https://openalex.org/S4377196567","display_name":"UWM Digital Commons (University of Wisconsin\u2013Milwaukee)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43579087","host_organization_name":"University of Wisconsin\u2013Milwaukee","host_organization_lineage":["https://openalex.org/I43579087"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer Science Faculty Articles","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Gender equality","score":0.7300000190734863,"id":"https://metadata.un.org/sdg/5"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W568087019","https://openalex.org/W1542154458","https://openalex.org/W1568961751","https://openalex.org/W1571542312","https://openalex.org/W1770469170","https://openalex.org/W1977448627","https://openalex.org/W1981139087","https://openalex.org/W1998076865","https://openalex.org/W2000321198","https://openalex.org/W2004854811","https://openalex.org/W2006912660","https://openalex.org/W2014455522","https://openalex.org/W2020728155","https://openalex.org/W2028966815","https://openalex.org/W2030017273","https://openalex.org/W2037963188","https://openalex.org/W2045754948","https://openalex.org/W2046229127","https://openalex.org/W2048888597","https://openalex.org/W2055193025","https://openalex.org/W2059209074","https://openalex.org/W2059372025","https://openalex.org/W2068115726","https://openalex.org/W2068344352","https://openalex.org/W2091277030","https://openalex.org/W2096882055","https://openalex.org/W2098850032","https://openalex.org/W2108186088","https://openalex.org/W2114200231","https://openalex.org/W2140097968","https://openalex.org/W2155827882","https://openalex.org/W2177243619","https://openalex.org/W2181759657","https://openalex.org/W2614020062","https://openalex.org/W2914414140","https://openalex.org/W2923170735","https://openalex.org/W2962683253","https://openalex.org/W2963463533","https://openalex.org/W2965885938","https://openalex.org/W2966591488","https://openalex.org/W3061802832","https://openalex.org/W4205300528","https://openalex.org/W4213094076","https://openalex.org/W4240464556","https://openalex.org/W4256587124","https://openalex.org/W4389615669"],"related_works":["https://openalex.org/W2106070061","https://openalex.org/W1976524344","https://openalex.org/W4322508012","https://openalex.org/W3123407378","https://openalex.org/W2072430061","https://openalex.org/W2054731762","https://openalex.org/W4224297439","https://openalex.org/W4249871498","https://openalex.org/W4224258059","https://openalex.org/W4236298560"],"abstract_inverted_index":{"In":[0,63,153,213],"the":[1,31,49,94,106,109,115,128,167,224,260,263,277],"stable":[2,47,75,112,140,146,208,245,252],"marriage":[3],"(SM)":[4],"problem,":[5],"there":[6],"are":[7,164,231,254],"two":[8],"sets":[9],"of":[10,30,97,108,111,114,131,196,227,262,276],"agents\u2014traditionally":[11],"referred":[12],"to":[13,37,59],"as":[14,127,138],"men":[15,42],"and":[16,43,68,79,88,101,142,181,242,250],"women\u2014and":[17],"each":[18,57],"agent":[19],"has":[20],"a":[21,39,64,235],"preference":[22,168,175,205],"list":[23],"that":[24,45,51,74,103,120,172,217,239],"ranks":[25],"(a":[26],"subset":[27],"of)":[28],"agents":[29],"opposite":[32],"sex.":[33],"The":[34],"goal":[35],"is":[36,46],"find":[38],"matching":[40,209],"between":[41],"women":[44],"in":[48,151,160,201,271],"sense":[50],"no":[52],"man-woman":[53],"pair":[54],"mutually":[55],"prefers":[56],"other":[58],"their":[60],"assigned":[61],"partners.":[62],"seminal":[65],"work,":[66],"Gale":[67],"Shapley":[69],"[":[70,90],"16":[71],"]":[72,92],"showed":[73,102,119],"matchings":[76,113,141],"always":[77],"exist":[78],"described":[80],"an":[81,98],"efficient":[82],"algorithm":[83],"for":[84,193,218,280],"finding":[85,143,247],"one.":[86],"Irving":[87],"Leather":[89],"24":[91],"defined":[93],"rotation":[95,129,191,225],"poset":[96,123,130],"SM":[99,133,158],"instance":[100],"it":[104],"determines":[105],"structure":[107],"set":[110],"instance.":[116,134,264],"They":[117],"further":[118],"every":[121],"finite":[122],"can":[124,268],"be":[125,269],"realized":[126],"some":[132],"Consequently,":[135],"many":[136,207],"problems\u2014such":[137],"counting":[139,241],"certain":[144,162],"\u201cfair\u201d":[145],"matchings\u2014are":[147],"computationally":[148],"intractable":[149],"(NP-hard)":[150],"general.":[152],"this":[154],"article,":[155],"we":[156,215,237],"consider":[157],"instances":[159,230,275],"which":[161],"restrictions":[163],"placed":[165],"on":[166,274],"lists.":[169],"We":[170],"show":[171,216,238],"three":[173],"natural":[174],"models\u2014":[176],"k":[177,179,185,197,222,228],"-bounded,":[178],"-attribute,":[180],"(k":[182],"1":[183],",":[184,223],"2":[186],")":[187],"-list\u2014can":[188],"realize":[189],"arbitrary":[190],"posets":[192,226],"constant":[194,221,283],"values":[195],".":[198],"Hence,":[199],"even":[200],"these":[202,266],"highly":[203,232],"restricted":[204],"models,":[206],"problems":[210,267],"remain":[211],"intractable.":[212],"contrast,":[214],"any":[219,281],"fixed":[220,282],"-range":[229],"restricted.":[233],"As":[234],"consequence,":[236],"exactly":[240],"uniformly":[243],"sampling":[244],"matchings,":[246,253],"median,":[248],"sex-equal,":[249],"balanced":[251],"fixed-parameter":[255],"tractable":[256],"when":[257],"parameterized":[258],"by":[259],"range":[261],"Thus,":[265],"solved":[270],"polynomial":[272],"time":[273],"k-range":[278],"model":[279],"k.":[284]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"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"}