{"id":"https://openalex.org/W2022392080","doi":"https://doi.org/10.1002/rsa.3240020402","title":"An algorithmic approach to the Lov\u00e1sz local lemma. I","display_name":"An algorithmic approach to the Lov\u00e1sz local lemma. I","publication_year":1991,"publication_date":"1991-12-01","ids":{"openalex":"https://openalex.org/W2022392080","doi":"https://doi.org/10.1002/rsa.3240020402","mag":"2022392080"},"language":"en","primary_location":{"id":"doi:10.1002/rsa.3240020402","is_oa":false,"landing_page_url":"https://doi.org/10.1002/rsa.3240020402","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures & 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/A5047375371","display_name":"J\u00f3zsef Beck","orcid":"https://orcid.org/0000-0002-5428-8818"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]},{"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","US"],"is_corresponding":true,"raw_author_name":"J\u00f3zsef Beck","raw_affiliation_strings":["Eo\u0308tvo\u0308s Lora\u0301nd University, Department of Mathematics, Budapest, Mu\u0301zeum krt. 6-8, Hungary 1088 and Rutgers University, Department of Mathematics, Hill Center, Busch Campus, New Brunswick NJ 08903","E\u00f6tv\u00f6s Lor\u00e1nd University, Department of Mathematics, Budapest, M\u00fazeum krt. 6\u20108, Hungary 1088 and Rutgers University, Department of Mathematics, Hill Center, Busc ...#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eo\u0308tvo\u0308s Lora\u0301nd University, Department of Mathematics, Budapest, Mu\u0301zeum krt. 6-8, Hungary 1088 and Rutgers University, Department of Mathematics, Hill Center, Busch Campus, New Brunswick NJ 08903","institution_ids":["https://openalex.org/I102322142","https://openalex.org/I106118109"]},{"raw_affiliation_string":"E\u00f6tv\u00f6s Lor\u00e1nd University, Department of Mathematics, Budapest, M\u00fazeum krt. 6\u20108, Hungary 1088 and Rutgers University, Department of Mathematics, Hill Center, Busc ...#TAB#","institution_ids":["https://openalex.org/I106118109"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047375371"],"corresponding_institution_ids":["https://openalex.org/I102322142","https://openalex.org/I106118109"],"apc_list":{"value":4330,"currency":"USD","value_usd":4330},"apc_paid":null,"fwci":6.4506,"has_fulltext":false,"cited_by_count":249,"citation_normalized_percentile":{"value":0.9775297,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"2","issue":"4","first_page":"343","last_page":"365"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","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/T10374","display_name":"Advanced Graph Theory Research","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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9991999864578247,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.9005401134490967},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.7422004342079163},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.6627719402313232},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5876237750053406},{"id":"https://openalex.org/keywords/sieve","display_name":"Sieve (category theory)","score":0.5113868117332458},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.49993467330932617},{"id":"https://openalex.org/keywords/monochromatic-color","display_name":"Monochromatic color","score":0.4938143193721771},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47855144739151},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.44834890961647034},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42331624031066895},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.41791582107543945},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23825928568840027},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05176475644111633},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.046512871980667114}],"concepts":[{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.9005401134490967},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.7422004342079163},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.6627719402313232},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5876237750053406},{"id":"https://openalex.org/C17732976","wikidata":"https://www.wikidata.org/wiki/Q7511782","display_name":"Sieve (category theory)","level":2,"score":0.5113868117332458},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.49993467330932617},{"id":"https://openalex.org/C40833965","wikidata":"https://www.wikidata.org/wiki/Q6901438","display_name":"Monochromatic color","level":2,"score":0.4938143193721771},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47855144739151},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.44834890961647034},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42331624031066895},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.41791582107543945},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23825928568840027},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05176475644111633},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.046512871980667114},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/rsa.3240020402","is_oa":false,"landing_page_url":"https://doi.org/10.1002/rsa.3240020402","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures & Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:alma.01RUT_INST:11665208120004646","is_oa":false,"landing_page_url":"https://scholarship.libraries.rutgers.edu/esploro/outputs/journalArticle/An-algorithmic-approach-to-the-Lov\u00e1sz/991031666262604646","pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"Open Research (University of Surrey)","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W170265681","https://openalex.org/W1519375772","https://openalex.org/W1977676492","https://openalex.org/W1988370884","https://openalex.org/W2008120342","https://openalex.org/W2011915801","https://openalex.org/W2023308185","https://openalex.org/W2024908972","https://openalex.org/W2068871408","https://openalex.org/W2087518343","https://openalex.org/W2128081519","https://openalex.org/W2128452148","https://openalex.org/W2146017177","https://openalex.org/W4298414065","https://openalex.org/W6681353718"],"related_works":["https://openalex.org/W2950157558","https://openalex.org/W2176262501","https://openalex.org/W1515688014","https://openalex.org/W4295571831","https://openalex.org/W2085708731","https://openalex.org/W2949363099","https://openalex.org/W2163453622","https://openalex.org/W2526197252","https://openalex.org/W2964134489","https://openalex.org/W4304755296"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"Lov\u00e1sz":[2],"Local":[3,37],"Lemma":[4,38],"is":[5,58,78,94],"a":[6,48,79,85],"remarkable":[7],"sieve":[8],"method":[9],"to":[10],"prove":[11],"the":[12,33,36,45,53,59,88],"existence":[13],"of":[14,22,32,35,47,87],"certain":[15],"structures":[16],"without":[17],"supplying":[18],"any":[19],"efficient":[20],"way":[21],"finding":[23],"these":[24],"structures.":[25],"In":[26],"this":[27],"article":[28],"we":[29],"convert":[30],"some":[31],"applications":[34],"into":[39],"polynomial":[40,80],"time":[41,81],"sequential":[42],"algorithms":[43],"(at":[44],"cost":[46],"weaker":[49],"constant":[50],"factor":[51],"in":[52,63],"\u201cexponent\u201d).":[54],"Our":[55],"main":[56],"example":[57],"following:":[60],"assume":[61],"that":[62,83,91],"an":[64],"n\u2010uniform":[65],"hypergraph":[66],"every":[67],"hyperedge":[68,93],"intersects":[69],"at":[70],"most":[71],"2":[72],"n/48":[73],"other":[74],"hyperedges,":[75],"then":[76],"there":[77],"algorithm":[82],"finds":[84],"two\u2010coloring":[86],"points":[89],"such":[90],"no":[92],"monochromatic.":[95]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":15},{"year":2012,"cited_by_count":8}],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}