{"id":"https://openalex.org/W2510181305","doi":"https://doi.org/10.1109/focs.2014.59","title":"Random Walks That Find Perfect Objects and the Lovasz Local Lemma","display_name":"Random Walks That Find Perfect Objects and the Lovasz Local Lemma","publication_year":2014,"publication_date":"2014-10-01","ids":{"openalex":"https://openalex.org/W2510181305","doi":"https://doi.org/10.1109/focs.2014.59","mag":"2510181305"},"language":"en","primary_location":{"id":"doi:10.1109/focs.2014.59","is_oa":false,"landing_page_url":"https://doi.org/10.1109/focs.2014.59","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE 55th Annual Symposium on Foundations of Computer Science","raw_type":"proceedings-article"},"type":"conference-paper","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/A5021300666","display_name":"Dimitris Achlioptas","orcid":"https://orcid.org/0000-0003-2349-822X"},"institutions":[{"id":"https://openalex.org/I185103710","display_name":"University of California, Santa Cruz","ror":"https://ror.org/03s65by71","country_code":"US","type":"education","lineage":["https://openalex.org/I185103710"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dimitris Achlioptas","raw_affiliation_strings":["Deparment of Computer Science, University of California, Santa Cruz","Dept. of Comput. Sci., Univ. of California Santa Cruz, Santa Cruz, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Deparment of Computer Science, University of California, Santa Cruz","institution_ids":["https://openalex.org/I185103710"]},{"raw_affiliation_string":"Dept. of Comput. Sci., Univ. of California Santa Cruz, Santa Cruz, CA, USA","institution_ids":["https://openalex.org/I185103710"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028068158","display_name":"Fotis Iliopoulos","orcid":null},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Fotis Iliopoulos","raw_affiliation_strings":["Deparment of Electrical Engineering, National Technical University of Athens"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Deparment of Electrical Engineering, National Technical University of Athens","institution_ids":["https://openalex.org/I174458059"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"494","last_page":"503"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9987999796867371,"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":0.9968000054359436,"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/random-walk","display_name":"Random walk","score":0.7344423532485962},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.7211925983428955},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.6391060948371887},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.574648380279541},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5718317627906799},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5333260297775269},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.507297933101654},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4986307621002197},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4357791244983673},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35503971576690674}],"concepts":[{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.7344423532485962},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.7211925983428955},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.6391060948371887},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.574648380279541},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5718317627906799},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5333260297775269},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.507297933101654},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4986307621002197},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4357791244983673},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35503971576690674},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/focs.2014.59","is_oa":false,"landing_page_url":"https://doi.org/10.1109/focs.2014.59","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE 55th Annual Symposium on Foundations of Computer Science","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W48399366","https://openalex.org/W111334045","https://openalex.org/W1144102194","https://openalex.org/W1820801893","https://openalex.org/W1983085249","https://openalex.org/W2012494262","https://openalex.org/W2016602690","https://openalex.org/W2019883273","https://openalex.org/W2022392080","https://openalex.org/W2024316355","https://openalex.org/W2047989981","https://openalex.org/W2051336598","https://openalex.org/W2054019901","https://openalex.org/W2066969286","https://openalex.org/W2072870176","https://openalex.org/W2093446084","https://openalex.org/W2109693504","https://openalex.org/W2128452148","https://openalex.org/W2165149312","https://openalex.org/W2400716891","https://openalex.org/W2962758870","https://openalex.org/W4231075269","https://openalex.org/W4301907028","https://openalex.org/W6604602947","https://openalex.org/W6654626401","https://openalex.org/W6655594470","https://openalex.org/W6662725296","https://openalex.org/W6664007498","https://openalex.org/W6666962874","https://openalex.org/W6668846887","https://openalex.org/W6683206440","https://openalex.org/W6713154277"],"related_works":["https://openalex.org/W3006682748","https://openalex.org/W1097487277","https://openalex.org/W2768610039","https://openalex.org/W4308265086","https://openalex.org/W2949964783","https://openalex.org/W4285390085","https://openalex.org/W2801357573","https://openalex.org/W2106889256","https://openalex.org/W2982363256","https://openalex.org/W2974000959"],"abstract_inverted_index":{"We":[0],"give":[1],"an":[2],"algorithmic":[3,74],"local":[4],"lemma":[5],"by":[6,29],"establishing":[7],"a":[8,17,22],"sufficient":[9],"condition":[10],"for":[11,40],"the":[12,35,45,50,58,69,97,106,111],"uniform":[13],"random":[14],"walk":[15],"on":[16],"directed":[18],"graph":[19],"to":[20,66],"reach":[21],"sink":[23],"quickly.":[24],"Our":[25],"work":[26],"is":[27,62,72,76],"inspired":[28],"Moser's":[30,67],"entropic":[31],"method":[32,55],"proof":[33],"of":[34,49,80,86,99,105,114],"Lovasz":[36],"Local":[37],"Lemma":[38],"(LLL)":[39],"satisfiability":[41],"and":[42],"completely":[43],"bypasses":[44],"Probabilistic":[46],"Method":[47],"formulation":[48],"LLL.":[51],"In":[52],"particular,":[53],"our":[54],"works":[56],"when":[57],"underlying":[59],"state":[60],"space":[61],"entirely":[63],"unstructured.":[64],"Similarly":[65],"argument,":[68],"key":[70],"point":[71],"that":[73,90],"progress":[75],"measured":[77],"in":[78,101],"terms":[79],"entropy":[81],"rather":[82],"than":[83],"energy":[84],"(number":[85],"violated":[87,115],"constraints)":[88],"so":[89],"termination":[91],"can":[92],"be":[93],"established":[94],"even":[95],"under":[96],"proliferation":[98],"states":[100],"which":[102],"every":[103],"step":[104],"algorithm":[107],"(random":[108],"walk)":[109],"increases":[110],"total":[112],"number":[113],"constraints.":[116]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}