{"id":"https://openalex.org/W4392348166","doi":"https://doi.org/10.1007/s00453-024-01215-6","title":"Stable Matchings, One-Sided Ties, and Approximate Popularity","display_name":"Stable Matchings, One-Sided Ties, and Approximate Popularity","publication_year":2024,"publication_date":"2024-03-02","ids":{"openalex":"https://openalex.org/W4392348166","doi":"https://doi.org/10.1007/s00453-024-01215-6"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-024-01215-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-024-01215-6","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/s00453-024-01215-6","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062523877","display_name":"Telikepalli Kavitha","orcid":"https://orcid.org/0000-0003-2619-6606"},"institutions":[{"id":"https://openalex.org/I11947397","display_name":"Tata Institute of Fundamental Research","ror":"https://ror.org/03ht1xw27","country_code":"IN","type":"education","lineage":["https://openalex.org/I11947397","https://openalex.org/I2799351866","https://openalex.org/I3149292468"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Telikepalli Kavitha","raw_affiliation_strings":["Tata Institute of Fundamental Research, Mumbai, India"],"raw_orcid":"https://orcid.org/0000-0003-2619-6606","affiliations":[{"raw_affiliation_string":"Tata Institute of Fundamental Research, Mumbai, India","institution_ids":["https://openalex.org/I11947397"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062523877"],"corresponding_institution_ids":["https://openalex.org/I11947397"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":2.5321,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.91388508,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"86","issue":"6","first_page":"1888","last_page":"1920"},"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/T11031","display_name":"Game Theory and Applications","score":0.9983999729156494,"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"}},{"id":"https://openalex.org/T10108","display_name":"Electoral Systems and Political Participation","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/3320","display_name":"Political Science and International Relations"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6605855822563171},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5316588878631592},{"id":"https://openalex.org/keywords/popularity","display_name":"Popularity","score":0.5035607218742371},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48240864276885986},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40006890892982483},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32145628333091736},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2815132141113281},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.14562395215034485}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6605855822563171},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5316588878631592},{"id":"https://openalex.org/C2780586970","wikidata":"https://www.wikidata.org/wiki/Q1357284","display_name":"Popularity","level":2,"score":0.5035607218742371},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48240864276885986},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40006890892982483},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32145628333091736},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2815132141113281},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.14562395215034485},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00453-024-01215-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-024-01215-6","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00453-024-01215-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-024-01215-6","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W881461489","https://openalex.org/W1480100487","https://openalex.org/W1523000149","https://openalex.org/W1525480452","https://openalex.org/W1910074032","https://openalex.org/W1966569037","https://openalex.org/W1986927971","https://openalex.org/W2029062013","https://openalex.org/W2033301836","https://openalex.org/W2037078275","https://openalex.org/W2044175003","https://openalex.org/W2048888597","https://openalex.org/W2059209074","https://openalex.org/W2063222520","https://openalex.org/W2068115726","https://openalex.org/W2175150243","https://openalex.org/W2313049648","https://openalex.org/W2795254914","https://openalex.org/W2806692490","https://openalex.org/W2915248511","https://openalex.org/W2932499911","https://openalex.org/W3140823561","https://openalex.org/W3207901828","https://openalex.org/W4232291999","https://openalex.org/W4253633138","https://openalex.org/W4280581864"],"related_works":["https://openalex.org/W2368605798","https://openalex.org/W2518037665","https://openalex.org/W2348524959","https://openalex.org/W2477036161","https://openalex.org/W2368049389","https://openalex.org/W2384861574","https://openalex.org/W2170801710","https://openalex.org/W2952704802","https://openalex.org/W4294565801","https://openalex.org/W2741781807"],"abstract_inverted_index":{"Abstract":[0],"We":[1,106,180],"consider":[2],"a":[3,7,38,123,135,152,162,223,229],"matching":[4,93,125,136,177,204,231],"problem":[5],"in":[6,32,37,45,57,64,77,112,140,191],"bipartite":[8],"graph":[9],"$$G":[10],"=":[11],"(A":[12],"\\cup":[13],"B,":[14],"E)$$":[15],"<mml:math":[16],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[17],"<mml:mrow>":[18],"<mml:mi>G</mml:mi>":[19],"<mml:mo>=</mml:mo>":[20],"<mml:mo>(</mml:mo>":[21],"<mml:mi>A</mml:mi>":[22],"<mml:mo>\u222a</mml:mo>":[23],"<mml:mi>B</mml:mi>":[24],"<mml:mo>,</mml:mo>":[25],"<mml:mi>E</mml:mi>":[26],"<mml:mo>)</mml:mo>":[27],"</mml:mrow>":[28],"</mml:math>":[29],"where":[30,199],"vertices":[31,44,190],"A":[33,95],"rank":[34],"their":[35,58],"neighbors":[36],"strict":[39],"order":[40],"of":[41,98,164,202,215,238],"preference":[42],"while":[43],"B":[46,192],"are":[47,55,67,173,196,212],"allowed":[48,56],"to":[49,69,83,160,185,227],"have":[50,146,193],"weak":[51],"rankings,":[52],"i.e.,":[53,189],"ties":[54,145,211],"rankings.":[59],"Stable":[60],"matchings":[61,73,240],"always":[62,121,150],"exist":[63,76],"G":[65,78,113],"and":[66,79,133,214],"easy":[68],"find,":[70],"however":[71],"popular":[72],"need":[74],"not":[75],"it":[80],"is":[81,101,129,178,205,241],"NP-complete":[82],"decide":[84],"if":[85],"one":[86],"exists.":[87],"This":[88,156],"motivates":[89],"the":[90,186,200,203,236],"\u201capproximately":[91],"popular\u201d":[92],"problem.":[94],"well-known":[96],"measure":[97],"approximate":[99],"popularity":[100],"low":[102],"unpopularity":[103,127,233],"factor":[104,128,234],".":[105,246],"show":[107,222],"that":[108,170],"when":[109,144,171],"each":[110],"tie":[111],"has":[114],"length":[115,216],"at":[116,130,217,242],"most":[117,131,207,218,243],"k":[118,132,219,245],",":[119,220],"there":[120,149],"exists":[122,151],"stable":[124,154,176],"whose":[126,232],"such":[134],"can":[137,157],"be":[138,158,161],"computed":[139],"polynomial":[141,224],"time.":[142],"Thus":[143],"bounded":[147],"length,":[148],"near-popular":[153],"matching.":[155],"considered":[159],"generalization":[163],"G\u00e4rdenfors\u2019":[165],"result":[166,184],"(1975)":[167],"which":[168],"showed":[169],"rankings":[172],"strict,":[174],"every":[175],"popular.":[179],"then":[181],"extend":[182],"our":[183],"hospitals/residents":[187],"setting,":[188],"capacities.":[194],"There":[195],"several":[197],"applications":[198],"size":[201],"its":[206],"important":[208],"attribute.":[209],"When":[210],"one-sided":[213],"we":[221],"time":[225],"algorithm":[226],"find":[228],"maximum":[230,239],"within":[235],"set":[237],"2":[244]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}
