{"id":"https://openalex.org/W3046229788","doi":"https://doi.org/10.1145/3406325.3451012","title":"Perfectly sampling k \u2265 (8/3 + o (1))\u0394-colorings in graphs","display_name":"Perfectly sampling k \u2265 (8/3 + o (1))\u0394-colorings in graphs","publication_year":2021,"publication_date":"2021-06-15","ids":{"openalex":"https://openalex.org/W3046229788","doi":"https://doi.org/10.1145/3406325.3451012","mag":"3046229788"},"language":"en","primary_location":{"id":"doi:10.1145/3406325.3451012","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3406325.3451012","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing","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/A5017261510","display_name":"Vishesh Jain","orcid":"https://orcid.org/0000-0002-7275-3218"},"institutions":[{"id":"https://openalex.org/I4210107338","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210107338"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vishesh Jain","raw_affiliation_strings":["Simons Institute for the Theory of Computing Berkeley, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Simons Institute for the Theory of Computing Berkeley, USA","institution_ids":["https://openalex.org/I4210107338"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036739756","display_name":"Ashwin Sah","orcid":"https://orcid.org/0000-0003-3438-5175"},"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":"Ashwin Sah","raw_affiliation_strings":["Massachusetts Institute of Technology, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030299401","display_name":"Mehtaab Sawhney","orcid":"https://orcid.org/0009-0002-3238-7134"},"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":"Mehtaab Sawhney","raw_affiliation_strings":["Massachusetts Institute of Technology, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7388,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.81563786,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1589","last_page":"1600"},"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":0.9995999932289124,"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":0.9995999932289124,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9984999895095825,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9973999857902527,"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/combinatorics","display_name":"Combinatorics","score":0.8123044967651367},{"id":"https://openalex.org/keywords/undirected-graph","display_name":"Undirected graph","score":0.6695682406425476},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5594679713249207},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5360956788063049},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5294009447097778},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.4512525796890259},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.44712620973587036},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4296759068965912},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24110040068626404}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8123044967651367},{"id":"https://openalex.org/C3018234147","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Undirected graph","level":3,"score":0.6695682406425476},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5594679713249207},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5360956788063049},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5294009447097778},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.4512525796890259},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.44712620973587036},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4296759068965912},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24110040068626404},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3406325.3451012","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3406325.3451012","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W9125994","https://openalex.org/W1976445742","https://openalex.org/W2017226731","https://openalex.org/W2090639770","https://openalex.org/W2109260999","https://openalex.org/W2109693504","https://openalex.org/W2140422174","https://openalex.org/W2898624802","https://openalex.org/W2938658492","https://openalex.org/W2971663834","https://openalex.org/W3034989894","https://openalex.org/W3035532193","https://openalex.org/W3111890340","https://openalex.org/W4240535288"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4321472505","https://openalex.org/W2378491141","https://openalex.org/W2358177744","https://openalex.org/W2148735344","https://openalex.org/W876530324","https://openalex.org/W2038693912","https://openalex.org/W3021187722","https://openalex.org/W1553554852","https://openalex.org/W1994341438"],"abstract_inverted_index":{"We":[0,75],"present":[1],"a":[2,21,38],"randomized":[3],"algorithm":[4],"which":[5],"takes":[6],"as":[7],"input":[8],"an":[9,97],"undirected":[10],"graph":[11],"G":[12,42],"on":[13,46,88],"n":[14],"vertices":[15],"with":[16],"maximum":[17],"degree":[18],"\u0394,":[19],"and":[20,30,71],"number":[22],"of":[23,41,49,53,69],"colors":[24],"k":[25,62,89,91],"\u2265":[26,92],"(8/3":[27,93],"+":[28],"o\u0394(1))\u0394,":[29],"returns":[31],"\u2013":[32,37],"in":[33,66],"expected":[34],"time":[35],"\u00d5(n\u03942logk)":[36],"proper":[39,51],"k-coloring":[40],"distributed":[43],"perfectly":[44],"uniformly":[45],"the":[47,59,86],"set":[48],"all":[50],"k-colorings":[52],"G.":[54],"Notably,":[55],"our":[56,79],"sampler":[57],"breaks":[58],"barrier":[60],"at":[61],"=":[63],"3\u0394":[64],"encountered":[65],"recent":[67],"work":[68],"Bhandari":[70],"Chakraborty":[72],"[STOC":[73],"2020].":[74],"also":[76],"discuss":[77],"how":[78],"methods":[80],"may":[81],"be":[82],"modified":[83],"to":[84,90],"relax":[85],"restriction":[87],"\u2212":[94],"\u04540)\u0394":[95],"for":[96],"absolute":[98],"constant":[99],"\u04540":[100],">":[101],"0.":[102]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
