{"id":"https://openalex.org/W2988940459","doi":"https://doi.org/10.1137/20m1366666","title":"Improved Bounds for Perfect Sampling of $k$-Colorings in Graphs","display_name":"Improved Bounds for Perfect Sampling of $k$-Colorings in Graphs","publication_year":2022,"publication_date":"2022-01-05","ids":{"openalex":"https://openalex.org/W2988940459","doi":"https://doi.org/10.1137/20m1366666","mag":"2988940459"},"language":"en","primary_location":{"id":"doi:10.1137/20m1366666","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1366666","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052705780","display_name":"Siddharth Bhandari","orcid":"https://orcid.org/0000-0003-3481-6078"},"institutions":[{"id":"https://openalex.org/I169877490","display_name":"University of Mumbai","ror":"https://ror.org/032hdk172","country_code":"IN","type":"education","lineage":["https://openalex.org/I169877490"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Siddharth Bhandari","raw_affiliation_strings":[", Mumbai"],"affiliations":[{"raw_affiliation_string":", Mumbai","institution_ids":["https://openalex.org/I169877490"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101727280","display_name":"Sayantan Chakraborty","orcid":"https://orcid.org/0000-0002-7246-0589"},"institutions":[{"id":"https://openalex.org/I169877490","display_name":"University of Mumbai","ror":"https://ror.org/032hdk172","country_code":"IN","type":"education","lineage":["https://openalex.org/I169877490"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Sayantan Chakraborty","raw_affiliation_strings":[", Mumbai"],"affiliations":[{"raw_affiliation_string":", Mumbai","institution_ids":["https://openalex.org/I169877490"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101727280"],"corresponding_institution_ids":["https://openalex.org/I169877490"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.00687581,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"51","issue":"3","first_page":"STOC20","last_page":"54"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9957000017166138,"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/T11476","display_name":"Graph theory and applications","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/combinatorics","display_name":"Combinatorics","score":0.5657704472541809},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.5294948220252991},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5196993947029114},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46115919947624207},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4362509548664093},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.42980656027793884},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3694388270378113},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32773178815841675},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.13598284125328064},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07194197177886963}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5657704472541809},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.5294948220252991},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5196993947029114},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46115919947624207},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4362509548664093},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.42980656027793884},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3694388270378113},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32773178815841675},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.13598284125328064},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07194197177886963},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/20m1366666","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1366666","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.4000000059604645}],"awards":[],"funders":[{"id":"https://openalex.org/F4320309327","display_name":"Google","ror":"https://ror.org/00njsd438"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W9125994","https://openalex.org/W1974779501","https://openalex.org/W1976445742","https://openalex.org/W1977321916","https://openalex.org/W2011373957","https://openalex.org/W2012032973","https://openalex.org/W2017226731","https://openalex.org/W2030087828","https://openalex.org/W2033900415","https://openalex.org/W2035895308","https://openalex.org/W2072696811","https://openalex.org/W2109260999","https://openalex.org/W2109693504","https://openalex.org/W2140422174","https://openalex.org/W2155597422","https://openalex.org/W2607730504","https://openalex.org/W2885549115","https://openalex.org/W2914272038","https://openalex.org/W2963165123","https://openalex.org/W2971663834","https://openalex.org/W3034989894","https://openalex.org/W3111890340","https://openalex.org/W4389615664"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4388258507","https://openalex.org/W2392013855","https://openalex.org/W4318064328","https://openalex.org/W2357926602","https://openalex.org/W2374569605","https://openalex.org/W2386062718","https://openalex.org/W899618282","https://openalex.org/W2386129765","https://openalex.org/W2368742525"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9],"an":[10],"active":[11],"subscription":[12],"to":[13],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"14":[17],"September":[18],"2020Accepted:":[19],"20":[20],"August":[21],"2021Published":[22],"online:":[23],"05":[24],"January":[25],"2022KeywordsMarkov":[26],"chains,":[27],"coupling":[28],"from":[29],"the":[30],"past,":[31],"graph":[32],"colorings,":[33],"perfect/exact":[34],"samplingAMS":[35],"Subject":[36],"Headings60J10,":[37],"60J22Publication":[38],"DataISSN":[39],"(print):":[40],"0097-5397ISSN":[41],"(online):":[42],"1095-7111Publisher:":[43],"Society":[44],"for":[45],"Industrial":[46],"and":[47],"Applied":[48],"MathematicsCODEN:":[49],"smjcat":[50]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}