{"id":"https://openalex.org/W2586521831","doi":"https://doi.org/10.1145/3055399.3055409","title":"Deciding parity games in quasipolynomial time","display_name":"Deciding parity games in quasipolynomial time","publication_year":2017,"publication_date":"2017-06-15","ids":{"openalex":"https://openalex.org/W2586521831","doi":"https://doi.org/10.1145/3055399.3055409","mag":"2586521831"},"language":"en","primary_location":{"id":"doi:10.1145/3055399.3055409","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3055399.3055409","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 49th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-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/A5079186295","display_name":"Cristian S. Calude","orcid":"https://orcid.org/0000-0002-8711-6799"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"Cristian S. Calude","raw_affiliation_strings":["University of Auckland, New Zealand"],"affiliations":[{"raw_affiliation_string":"University of Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101627589","display_name":"Sanjay Jain","orcid":"https://orcid.org/0000-0001-6798-8330"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Sanjay Jain","raw_affiliation_strings":["National University of Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109808768","display_name":"Bakhadyr Khoussainov","orcid":null},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Bakhadyr Khoussainov","raw_affiliation_strings":["University of Auckland, New Zealand"],"affiliations":[{"raw_affiliation_string":"University of Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100318444","display_name":"Wei Li","orcid":"https://orcid.org/0000-0003-4143-8597"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Wei Li","raw_affiliation_strings":["National University of Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085103227","display_name":"Frank Stephan","orcid":"https://orcid.org/0000-0001-9152-1706"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Frank Stephan","raw_affiliation_strings":["National University of Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5079186295"],"corresponding_institution_ids":["https://openalex.org/I154130895"],"apc_list":null,"apc_paid":null,"fwci":24.4146,"has_fulltext":false,"cited_by_count":170,"citation_normalized_percentile":{"value":0.99715033,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"252","last_page":"263"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9944999814033508,"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/T10142","display_name":"Formal Methods in Verification","score":0.9944999814033508,"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/T11567","display_name":"semigroups and automata theory","score":0.9919000267982483,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9799000024795532,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/aka","display_name":"AKA","score":0.8403205275535583},{"id":"https://openalex.org/keywords/parity","display_name":"Parity (physics)","score":0.7123234272003174},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5389298796653748},{"id":"https://openalex.org/keywords/running-time","display_name":"Running time","score":0.4780712127685547},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46939486265182495},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4564516544342041},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4356832206249237},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4355568289756775},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4277842044830322},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.41935232281684875},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.41383177042007446},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4056193232536316},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22528409957885742},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06066808104515076}],"concepts":[{"id":"https://openalex.org/C121158502","wikidata":"https://www.wikidata.org/wiki/Q4652161","display_name":"AKA","level":2,"score":0.8403205275535583},{"id":"https://openalex.org/C2777151079","wikidata":"https://www.wikidata.org/wiki/Q141160","display_name":"Parity (physics)","level":2,"score":0.7123234272003174},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5389298796653748},{"id":"https://openalex.org/C3017489831","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Running time","level":2,"score":0.4780712127685547},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46939486265182495},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4564516544342041},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4356832206249237},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4355568289756775},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4277842044830322},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.41935232281684875},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.41383177042007446},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4056193232536316},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22528409957885742},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06066808104515076},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3055399.3055409","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3055399.3055409","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 49th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},{"id":"pmh:oai:researchspace.auckland.ac.nz:2292/31757","is_oa":false,"landing_page_url":"https://hdl.handle.net/2292/31757","pdf_url":null,"source":{"id":"https://openalex.org/S7407055463","display_name":"ResearchSpace (University of Auckland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I154130895","host_organization_name":"University of Auckland","host_organization_lineage":["https://openalex.org/I154130895"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.cs.auckland.ac.nz/research/groups/CDMTCS/researchreports/index.php","raw_type":"Technical Report"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5760689840","display_name":null,"funder_award_id":"C252-000-087-001","funder_id":"https://openalex.org/F4320320698","funder_display_name":"National University of Singapore"},{"id":"https://openalex.org/G8111537775","display_name":null,"funder_award_id":"Marsden Fund to Bakhadyr Khoussainov","funder_id":"https://openalex.org/F4320320774","funder_display_name":"Royal Society Te Ap\u0101rangi"}],"funders":[{"id":"https://openalex.org/F4320320698","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49"},{"id":"https://openalex.org/F4320320774","display_name":"Royal Society Te Ap\u0101rangi","ror":"https://ror.org/04tajb587"},{"id":"https://openalex.org/F4320321108","display_name":"Academy of Finland","ror":"https://ror.org/05k73zm37"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":71,"referenced_works":["https://openalex.org/W17866615","https://openalex.org/W36639738","https://openalex.org/W67045932","https://openalex.org/W1481109946","https://openalex.org/W1486171852","https://openalex.org/W1492878012","https://openalex.org/W1505081061","https://openalex.org/W1531373978","https://openalex.org/W1551906639","https://openalex.org/W1564580204","https://openalex.org/W1581667545","https://openalex.org/W1963571124","https://openalex.org/W1963823779","https://openalex.org/W1967415230","https://openalex.org/W1968137129","https://openalex.org/W1969912861","https://openalex.org/W1971138850","https://openalex.org/W1974206804","https://openalex.org/W1974672595","https://openalex.org/W2019075172","https://openalex.org/W2024901060","https://openalex.org/W2031592188","https://openalex.org/W2036265926","https://openalex.org/W2038680194","https://openalex.org/W2043507528","https://openalex.org/W2046320170","https://openalex.org/W2048343898","https://openalex.org/W2051491228","https://openalex.org/W2060375000","https://openalex.org/W2082624313","https://openalex.org/W2083896385","https://openalex.org/W2084132452","https://openalex.org/W2098682681","https://openalex.org/W2111642536","https://openalex.org/W2116087731","https://openalex.org/W2120967289","https://openalex.org/W2130190334","https://openalex.org/W2141252092","https://openalex.org/W2142133061","https://openalex.org/W2157409145","https://openalex.org/W2158437920","https://openalex.org/W2163151383","https://openalex.org/W2165296213","https://openalex.org/W2168360220","https://openalex.org/W2170933628","https://openalex.org/W2171491461","https://openalex.org/W2184756528","https://openalex.org/W2184866353","https://openalex.org/W2240543079","https://openalex.org/W2290276042","https://openalex.org/W2407205665","https://openalex.org/W2490706771","https://openalex.org/W2494787995","https://openalex.org/W2494824293","https://openalex.org/W2531928804","https://openalex.org/W2586550014","https://openalex.org/W2593234065","https://openalex.org/W2913688336","https://openalex.org/W2950091953","https://openalex.org/W2952908521","https://openalex.org/W2962743408","https://openalex.org/W2963861676","https://openalex.org/W3103414753","https://openalex.org/W3193206816","https://openalex.org/W4241108585","https://openalex.org/W4285719527","https://openalex.org/W4292230561","https://openalex.org/W6633989784","https://openalex.org/W6636464977","https://openalex.org/W6660298526","https://openalex.org/W6990007866"],"related_works":["https://openalex.org/W1759995226","https://openalex.org/W2089134982","https://openalex.org/W2040347389","https://openalex.org/W4299305030","https://openalex.org/W2952081610","https://openalex.org/W1983383464","https://openalex.org/W4252842032","https://openalex.org/W3100139999","https://openalex.org/W2113270940","https://openalex.org/W2900627138"],"abstract_inverted_index":{"It":[0],"is":[1,30,86,107],"shown":[2,109],"that":[3,88,110],"the":[4,35],"parity":[5,15],"game":[6,16],"can":[7,98],"be":[8,33,99,114],"solved":[9],"in":[10,34,101],"quasipolynomial":[11],"time.":[12],"The":[13],"parameterised":[14,44],"-":[17,29],"with":[18,61,71,92],"n":[19,93],"nodes":[20,94],"and":[21,57,95],"m":[22,67,80,96],"distinct":[23],"values":[24],"(aka":[25],"colours":[26,97],"or":[27],"priorities)":[28],"proven":[31,87],"to":[32,55,68,116],"class":[36],"of":[37],"fixed":[38,65],"parameter":[39,66],"tractable":[40],"(FPT)":[41],"problems":[42],"when":[43],"over":[45],"m.":[46],"Both":[47],"results":[48],"improve":[49],"known":[50],"bounds,":[51],"from":[52,58],"runtime":[53,62,72],"nO(\u221an)":[54],"O(nlog(m)+6)":[56],"an":[59,69,83],"XP-algorithm":[60],"O(n\u0398(m))":[63],"for":[64,74,120],"FPT-algorithm":[70],"O(n5)+g(m),":[73],"some":[75],"function":[76],"g":[77],"depending":[78],"on":[79],"only.":[81],"As":[82],"application":[84],"it":[85,106],"coloured":[89],"Muller":[90],"games":[91],"decided":[100],"time":[102],"O((mm":[103],"\u00b7":[104,118],"n)5);":[105],"also":[108],"this":[111],"bound":[112],"cannot":[113],"improved":[115],"O((2m":[117],"n)c),":[119],"any":[121],"c,":[122],"unless":[123],"FPT":[124],"=":[125],"W[1].":[126]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":17},{"year":2021,"cited_by_count":19},{"year":2020,"cited_by_count":26},{"year":2019,"cited_by_count":28},{"year":2018,"cited_by_count":31},{"year":2017,"cited_by_count":18}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
