{"id":"https://openalex.org/W3092556900","doi":"https://doi.org/10.1145/3524044","title":"A Faster Algorithm\u00a0for Finding Tarski Fixed Points","display_name":"A Faster Algorithm\u00a0for Finding Tarski Fixed Points","publication_year":2022,"publication_date":"2022-03-17","ids":{"openalex":"https://openalex.org/W3092556900","doi":"https://doi.org/10.1145/3524044","mag":"3092556900"},"language":"en","primary_location":{"id":"doi:10.1145/3524044","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3524044","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"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 Algorithms","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/A5029623300","display_name":"John Fearnley","orcid":"https://orcid.org/0000-0003-0791-4342"},"institutions":[{"id":"https://openalex.org/I4210155156","display_name":"Merseytravel","ror":"https://ror.org/05azmgh93","country_code":"GB","type":"government","lineage":["https://openalex.org/I4210155156"]},{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"John Fearnley","raw_affiliation_strings":["University of Liverpool, Liverpool, Merseyside, United Kingdom"],"affiliations":[{"raw_affiliation_string":"University of Liverpool, Liverpool, Merseyside, United Kingdom","institution_ids":["https://openalex.org/I4210155156","https://openalex.org/I146655781"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086250889","display_name":"D\u00f6m\u00f6t\u00f6r P\u00e1lv\u00f6lgyi","orcid":"https://orcid.org/0000-0003-2970-0943"},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"D\u00f6m\u00f6t\u00f6r P\u00e1lv\u00f6lgyi","raw_affiliation_strings":["E\u00f6tv\u00f6s Lor\u00e1nd University (ELTE), Hungary"],"affiliations":[{"raw_affiliation_string":"E\u00f6tv\u00f6s Lor\u00e1nd University (ELTE), Hungary","institution_ids":["https://openalex.org/I106118109"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084692264","display_name":"Rahul Savani","orcid":"https://orcid.org/0000-0003-1262-7831"},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]},{"id":"https://openalex.org/I4210155156","display_name":"Merseytravel","ror":"https://ror.org/05azmgh93","country_code":"GB","type":"government","lineage":["https://openalex.org/I4210155156"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Rahul Savani","raw_affiliation_strings":["University of Liverpool, Liverpool, Merseyside, United Kingdom"],"affiliations":[{"raw_affiliation_string":"University of Liverpool, Liverpool, Merseyside, United Kingdom","institution_ids":["https://openalex.org/I4210155156","https://openalex.org/I146655781"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5029623300"],"corresponding_institution_ids":["https://openalex.org/I146655781","https://openalex.org/I4210155156"],"apc_list":null,"apc_paid":null,"fwci":0.5843,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.67124425,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"18","issue":"3","first_page":"1","last_page":"23"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9976999759674072,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9976999759674072,"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/T12288","display_name":"Optimization and Search Problems","score":0.9887999892234802,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9876999855041504,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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":0.7574507594108582},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5873494148254395},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4927208721637726},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.48460209369659424},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.4556177258491516},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39868396520614624}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7574507594108582},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5873494148254395},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4927208721637726},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.48460209369659424},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4556177258491516},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39868396520614624},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3524044","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3524044","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"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 Algorithms","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":10,"referenced_works":["https://openalex.org/W389907844","https://openalex.org/W1968084917","https://openalex.org/W2031914818","https://openalex.org/W2046213250","https://openalex.org/W2083057706","https://openalex.org/W2130752181","https://openalex.org/W2801809571","https://openalex.org/W2921188256","https://openalex.org/W2966513741","https://openalex.org/W3026745876"],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W3086542228","https://openalex.org/W2017331178","https://openalex.org/W2005930910","https://openalex.org/W2976797620","https://openalex.org/W2837527297","https://openalex.org/W2963659792","https://openalex.org/W2085026217","https://openalex.org/W1981482516","https://openalex.org/W2170802669"],"abstract_inverted_index":{"Dang":[0],"et":[1],"al.":[2],"have":[3,34],"given":[4],"an":[5,72,108],"algorithm":[6,38,79,103,116],"that":[7,36,60],"can":[8],"find":[9],"a":[10,15,88],"Tarski":[11,83,95],"fixed":[12],"point":[13],"in":[14,65,98],"k":[16,25,93,119],"-dimensional":[17,94,120],"lattice":[18],"of":[19],"width":[20],"n":[21,26,76,113],"using":[22],"O":[23,73,109],"(log":[24,74,110],")":[27,77,114],"queries":[28],"[":[29,41,55],"2":[30,42,75,111],"].":[31,57],"Multiple":[32],"authors":[33],"conjectured":[35],"this":[37,48],"is":[39],"optimal":[40],",":[43],"7":[44,56],"],":[45],"and":[46],"indeed":[47],"has":[49],"been":[50],"proven":[51],"for":[52,80,92,104,117],"two-dimensional":[53],"instances":[54],"We":[58,85],"show":[59],"these":[61],"conjectures":[62],"are":[63],"false":[64],"dimension":[66],"three":[67,105],"or":[68],"higher":[69],"by":[70],"giving":[71],"query":[78,115],"the":[81,118],"three-dimensional":[82],"problem.":[84,121],"also":[86],"give":[87],"new":[89,102],"decomposition":[90],"theorem":[91],"problems":[96],"which,":[97],"combination":[99],"with":[100],"our":[101],"dimensions,":[106],"gives":[107],"\u2308k/3\u2309":[112]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
