{"id":"https://openalex.org/W2156584294","doi":"https://doi.org/10.1137/100799642","title":"Deterministic Algorithms for the Lov\u00e1sz Local Lemma","display_name":"Deterministic Algorithms for the Lov\u00e1sz Local Lemma","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2156584294","doi":"https://doi.org/10.1137/100799642","mag":"2156584294"},"language":"en","primary_location":{"id":"doi:10.1137/100799642","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100799642","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"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 Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/1721.1/60165","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011591780","display_name":"Karthekeyan Chandrasekaran","orcid":"https://orcid.org/0000-0002-3421-7238"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Karthekeyan Chandrasekaran","raw_affiliation_strings":["College of Computing, Georgia Institute of Technology, Atlanta, GA 30332"],"affiliations":[{"raw_affiliation_string":"College of Computing, Georgia Institute of Technology, Atlanta, GA 30332","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029531416","display_name":"Navin Goyal","orcid":"https://orcid.org/0000-0002-8521-0108"},"institutions":[{"id":"https://openalex.org/I4210124949","display_name":"Microsoft Research (India)","ror":"https://ror.org/02w7f3w92","country_code":"IN","type":"company","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210124949"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Navin Goyal","raw_affiliation_strings":["Microsoft Research, Bangalore, Karnataka 560 080, India"],"affiliations":[{"raw_affiliation_string":"Microsoft Research, Bangalore, Karnataka 560 080, India","institution_ids":["https://openalex.org/I4210124949"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080591933","display_name":"Bernhard Haeupler","orcid":"https://orcid.org/0000-0003-3381-0459"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bernhard Haeupler","raw_affiliation_strings":["Computer Science and Artificial Intelligence Lab, Massachusetts Institute of Technology, Cam-bridge, MA 02139"],"affiliations":[{"raw_affiliation_string":"Computer Science and Artificial Intelligence Lab, Massachusetts Institute of Technology, Cam-bridge, MA 02139","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011591780"],"corresponding_institution_ids":["https://openalex.org/I130701444"],"apc_list":null,"apc_paid":null,"fwci":4.4424,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.94851848,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"42","issue":"6","first_page":"2132","last_page":"2155"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9997000098228455,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.7106155157089233},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.60749351978302},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5689793229103088},{"id":"https://openalex.org/keywords/randomized-algorithm","display_name":"Randomized algorithm","score":0.5405485033988953},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5176406502723694},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.5124866962432861},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49820613861083984},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4825989007949829},{"id":"https://openalex.org/keywords/constructive-proof","display_name":"Constructive proof","score":0.4781252443790436},{"id":"https://openalex.org/keywords/event","display_name":"Event (particle physics)","score":0.4410936236381531},{"id":"https://openalex.org/keywords/deterministic-algorithm","display_name":"Deterministic algorithm","score":0.4405028820037842},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42613106966018677},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3083980977535248}],"concepts":[{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.7106155157089233},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.60749351978302},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5689793229103088},{"id":"https://openalex.org/C128669082","wikidata":"https://www.wikidata.org/wiki/Q583461","display_name":"Randomized algorithm","level":2,"score":0.5405485033988953},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5176406502723694},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.5124866962432861},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49820613861083984},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4825989007949829},{"id":"https://openalex.org/C202854965","wikidata":"https://www.wikidata.org/wiki/Q3044470","display_name":"Constructive proof","level":2,"score":0.4781252443790436},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.4410936236381531},{"id":"https://openalex.org/C13533509","wikidata":"https://www.wikidata.org/wiki/Q1064349","display_name":"Deterministic algorithm","level":2,"score":0.4405028820037842},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42613106966018677},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3083980977535248},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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:10.1137/100799642","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100799642","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"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 Computing","raw_type":"journal-article"},{"id":"pmh:oai:dspace.mit.edu:1721.1/60165","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/60165","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Thesis"}],"best_oa_location":{"id":"pmh:oai:dspace.mit.edu:1721.1/60165","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/60165","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Thesis"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1964089073","https://openalex.org/W1967680338","https://openalex.org/W1982618872","https://openalex.org/W1992843513","https://openalex.org/W2000992447","https://openalex.org/W2019807548","https://openalex.org/W2022392080","https://openalex.org/W2072870176","https://openalex.org/W2084427019","https://openalex.org/W2100061495","https://openalex.org/W2109693504","https://openalex.org/W2128452148"],"related_works":["https://openalex.org/W1998171255","https://openalex.org/W4221036368","https://openalex.org/W2949665548","https://openalex.org/W3186402499","https://openalex.org/W1998096192","https://openalex.org/W201195458","https://openalex.org/W2950188642","https://openalex.org/W151625577","https://openalex.org/W1844192718","https://openalex.org/W2772529464"],"abstract_inverted_index":{"The":[0,84,210],"Lov\u00e1sz":[1,154],"local":[2,155],"lemma":[3],"(LLL)":[4],"[P.":[5],"Erd\u00f6s":[6],"and":[7,11,16,22,31,179,195,217,250,312,315,321,331,333,366],"L.":[8],"Lov\u00e1sz,":[9],"Problems":[10],"results":[12],"on":[13,82,167],"3-chromatic":[14],"hypergraphs":[15],"some":[17],"related":[18],"questions,":[19],"in":[20,45,111,142,157,244,256,301,344,360],"Infinite":[21],"Finite":[23],"Sets,":[24],"Vol.":[25],"II,":[26],"A.":[27],"Hajnal,":[28],"R.":[29],"Rado,":[30],"V.":[32],"T.":[33],"S\u00f3s,":[34],"eds.,":[35],"North--Holland,":[36],"Amsterdam,":[37],"1975,":[38],"pp.":[39,175,185,390],"609--627]":[40],"is":[41,64,72,86,99,353],"a":[42,58,112,126,129,133,139,188,196,253,293,298,371],"powerful":[43],"result":[44],"probability":[46,54,68],"theory":[47],"that":[48,55,80,107,296,358],"informally":[49],"states":[50],"the":[51,53,67,76,104,153,162,193,204,208,231,245,259,307,335,354,361,376],"following:":[52],"none":[56],"of":[57,60,69,78,93,152,161,169,248,262,310,313,340,364,383],"set":[59],"bad":[61],"events":[62,79],"happens":[63],"positive":[65],"if":[66,108],"each":[70,273],"event":[71],"small":[73],"compared":[74],"to":[75,100,136,202,220],"number":[77],"depend":[81],"it.":[83],"LLL":[85,105,194],"often":[87],"used":[88],"for":[89,192,226,266,287,329,348,375],"nonconstructive":[90],"existence":[91],"proofs":[92],"combinatorial":[94],"structures.":[95],"A":[96],"prominent":[97],"application":[98],"$k$-CNF":[101,267],"formulas,":[102],"where":[103,272],"implies":[106],"every":[109],"clause":[110,274],"formula":[113,127],"shares":[114,275],"variables":[115,276],"with":[116,252,269,277,317],"at":[117,278],"most":[118,279],"$d":[119,280],"\\leq":[120,281],"2^k/e-1$":[121],"other":[122,285],"clauses,":[123,271,286],"then":[124],"such":[125,238],"has":[128],"satisfying":[130,140,264,299],"assignment.":[131],"Recently,":[132],"randomized":[134,197],"algorithm":[135,198,225,242,295,339,352,357,374,382],"efficiently":[137],"construct":[138,203],"assignment":[141,300],"this":[143,200,234],"setting":[144],"was":[145,219],"given":[146],"by":[147,207,215,230],"Moser":[148,178,216,249,311,314,365],"[A":[149],"constructive":[150],"proof":[151],"lemma,":[156],"STOC":[158],"'09:":[159],"Proceedings":[160],"41st":[163],"Annual":[164],"ACM":[165],"Symposium":[166],"Theory":[168],"Computing,":[170],"ACM,":[171,182],"New":[172],"York,":[173],"2009,":[174],"343--350].":[176],"Subsequently":[177],"Tardos":[180,218,251,316],"[J.":[181],"57":[183],"(2010),":[184],"11:1--11:15]":[186],"gave":[187],"general":[189,246,362],"algorithmic":[190],"framework":[191,201,247,363],"within":[199],"structures":[205,228],"guaranteed":[206,229],"LLL.":[209,232],"main":[211],"problem":[212],"left":[213],"open":[214],"design":[221],"an":[222,239,381],"efficient":[223],"deterministic":[224,294,308,338,356],"constructing":[227,263],"In":[233],"paper":[235],"we":[236,291],"provide":[237],"algorithm.":[240],"Our":[241,351],"works":[243,359],"minimal":[254],"loss":[255],"parameters.":[257],"For":[258],"special":[260],"case":[261],"assignments":[265],"formulas":[268],"$m$":[270],"2^{k/(1+\\epsilon)}/e":[282],"-":[283],"1$":[284],"any":[288],"$\\epsilon\\in":[289],"(0,1)$,":[290],"give":[292,370],"finds":[297],"time":[302,346],"$\\tilde{O}(m^{2(1+1/\\epsilon)})$.":[303],"This":[304],"improves":[305],"upon":[306,334,380],"algorithms":[309],"running":[318],"times":[319],"$m^{\\Omega(k^2)}$":[320],"$m^{\\Omega(d":[322],"\\log":[323],"d)}$,":[324],"respectively,":[325],"which":[326,342],"are":[327],"superpolynomial":[328],"$k=\\omega(1)$":[330],"$d=\\omega(1)$,":[332],"previous":[336],"best":[337],"Beck,":[341],"runs":[343],"polynomial":[345],"only":[347],"$d\\leq":[349],"2^{k/16}/4$.":[350],"first":[355],"Tardos.":[367],"We":[368],"also":[369],"parallel":[372],"NC":[373],"same":[377],"setting,":[378],"improving":[379],"Alon":[384],"[Random":[385],"Structures":[386],"Algorithms,":[387],"2":[388],"(1991),":[389],"367--378].":[391]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
