{"id":"https://openalex.org/W4236326290","doi":"https://doi.org/10.1137/12088478x","title":"Musical Chairs","display_name":"Musical Chairs","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W4236326290","doi":"https://doi.org/10.1137/12088478x"},"language":"en","primary_location":{"id":"doi:10.1137/12088478x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/12088478x","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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/A5081092410","display_name":"Yehuda Afek","orcid":"https://orcid.org/0000-0001-8351-0927"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Yehuda Afek","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063554414","display_name":"Yakov Babichenko","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yakov Babichenko","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013190102","display_name":"Uriel Feige","orcid":"https://orcid.org/0009-0006-3749-4392"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Uriel Feige","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031972040","display_name":"Eli Gafni","orcid":"https://orcid.org/0009-0008-6799-2784"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Eli Gafni","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108358503","display_name":"Nati Linial","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nati Linial","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5066741544","display_name":"Benny Sudakov","orcid":"https://orcid.org/0000-0003-3307-9475"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Benny Sudakov","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5081092410"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6896,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.77823718,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"28","issue":"3","first_page":"1578","last_page":"1600"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10772","display_name":"Distributed systems and fault tolerance","score":0.998199999332428,"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/T10772","display_name":"Distributed systems and fault tolerance","score":0.998199999332428,"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/T11896","display_name":"Opportunistic and Delay-Tolerant Networks","score":0.9023000001907349,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6527956128120422},{"id":"https://openalex.org/keywords/musical","display_name":"Musical","score":0.5504167079925537},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46087056398391724},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4186446964740753},{"id":"https://openalex.org/keywords/art","display_name":"Art","score":0.1571921706199646},{"id":"https://openalex.org/keywords/visual-arts","display_name":"Visual arts","score":0.11438456177711487}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6527956128120422},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.5504167079925537},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46087056398391724},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4186446964740753},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.1571921706199646},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.11438456177711487}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/12088478x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/12088478x","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1967858331","https://openalex.org/W1975213343","https://openalex.org/W2023866984","https://openalex.org/W2063292248","https://openalex.org/W2149907923"],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W3086542228","https://openalex.org/W2017331178","https://openalex.org/W2976797620","https://openalex.org/W1978225469","https://openalex.org/W2567026640","https://openalex.org/W3103555317","https://openalex.org/W1978588354","https://openalex.org/W1412164264","https://openalex.org/W1421410134"],"abstract_inverted_index":{"In":[0,86],"the":[1,20,37,43,50,59,77,94,111,119,121,166,186,196,220],"musical":[2],"chairs":[3,165],"game":[4,21,44,112,197],"$MC(n,m)$,":[5],"a":[6,27,34,56,69,91,169,189],"team":[7,167,221],"of":[8,30,36,42,49,58,108,118,128,138],"$n$":[9],"players":[10,73,129],"plays":[11],"against":[12],"an":[13,124],"adversarial":[14],"scheduler.":[15],"The":[16,105],"scheduler":[17,122,187],"wins":[18],"if":[19,214],"proceeds":[22],"indefinitely,":[23],"while":[24],"termination":[25,89],"after":[26],"finite":[28],"number":[29],"rounds":[31],"is":[32,61,96,113,148,181,192],"declared":[33,62],"win":[35,57,92],"team.":[38],"At":[39,115],"each":[40,45,66,137],"round":[41,117],"player":[46,67,146],"occupies":[47,68],"one":[48],"$m$":[51],"available":[52],"chairs.":[53],"Termination":[54],"(and":[55,90],"team)":[60,95],"as":[63,65,98,100],"soon":[64,99],"unique":[70],"chair.":[71],"Two":[72],"that":[74,141,178,191,219],"simultaneously":[75],"occupy":[76],"same":[78],"chair":[79,153],"are":[80,102,131],"said":[81],"to":[82,155,194],"be":[83],"in":[84,133],"conflict.":[85],"other":[87],"words,":[88],"for":[93,162],"reached":[97],"there":[101],"no":[103],"conflicts.":[104],"only":[106],"means":[107],"communication":[109],"throughout":[110],"this:":[114],"every":[116],"game,":[120],"selects":[123],"arbitrary":[125],"nonempty":[126],"set":[127],"who":[130,147],"currently":[132],"conflict,":[134],"and":[135,200],"notifies":[136],"them":[139],"separately":[140],"it":[142],"must":[143],"move.":[144],"A":[145],"thus":[149,201],"notified":[150],"changes":[151],"its":[152,156],"according":[154],"deterministic":[157],"program.":[158],"As":[159],"we":[160,176],"show,":[161],"$m\\ge":[163],"2n-1$":[164,217],"has":[168,188],"winning":[170],"strategy.":[171],"Moreover,":[172],"using":[173],"topological":[174],"arguments":[175],"show":[177],"this":[179],"bound":[180],"tight.":[182],"For":[183,212],"$m\\leq":[184],"2n-2$":[185],"strategy":[190],"guaranteed":[193],"make":[195],"continue":[198],"indefinitely":[199],"win.":[202],"We":[203],"also":[204],"have":[205],"some":[206],"results":[207],"on":[208],"additional":[209],"interesting":[210],"questions.":[211],"example,":[213],"$m":[215],"\\ge":[216],"(so":[218],"can":[222,226],"win),":[223],"how":[224],"quickly":[225],"they":[227],"achieve":[228],"victory?":[229]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-05-12T00:00:00"}