{"id":"https://openalex.org/W4406155001","doi":"https://doi.org/10.1137/1.9781611978322.71","title":"Flip Dynamics for Sampling Colorings: Improving (11/6 \u2014 \u03b5) Using A Simple Metric","display_name":"Flip Dynamics for Sampling Colorings: Improving (11/6 \u2014 \u03b5) Using A Simple Metric","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4406155001","doi":"https://doi.org/10.1137/1.9781611978322.71"},"language":"en","primary_location":{"id":"doi:10.1137/1.9781611978322.71","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1.9781611978322.71","pdf_url":null,"source":{"id":"https://openalex.org/S4306463922","display_name":"Society for Industrial and Applied Mathematics eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2025 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)","raw_type":"book-chapter"},"type":"book-chapter","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/A5057098864","display_name":"Charlie Carlson","orcid":null},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Charlie Carlson","raw_affiliation_strings":["Department of Computer Science, University of California, Santa Barbara. Research supported in part by NSF grant CCF-2147094"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of California, Santa Barbara. Research supported in part by NSF grant CCF-2147094","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051363868","display_name":"Eric Vigoda","orcid":null},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eric Vigoda","raw_affiliation_strings":["Department of Computer Science, University of California, Santa Barbara. Research supported in part by NSF grant CCF-2147094"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of California, Santa Barbara. Research supported in part by NSF grant CCF-2147094","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":15.9594,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.98090388,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"2194","last_page":"2212"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11890","display_name":"Scientific Measurement and Uncertainty Evaluation","score":0.23720000684261322,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11890","display_name":"Scientific Measurement and Uncertainty Evaluation","score":0.23720000684261322,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.7995263934135437},{"id":"https://openalex.org/keywords/simple-random-sample","display_name":"Simple random sample","score":0.6505017280578613},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6288629174232483},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5813379287719727},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.572919487953186},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5071935653686523},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4168205261230469},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13815706968307495},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.11514231562614441},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.10189700126647949},{"id":"https://openalex.org/keywords/operations-management","display_name":"Operations management","score":0.0810767412185669},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07098674774169922},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.06281036138534546},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.05566486716270447},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.042466580867767334}],"concepts":[{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7995263934135437},{"id":"https://openalex.org/C20353970","wikidata":"https://www.wikidata.org/wiki/Q1056998","display_name":"Simple random sample","level":3,"score":0.6505017280578613},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6288629174232483},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5813379287719727},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.572919487953186},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5071935653686523},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4168205261230469},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13815706968307495},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.11514231562614441},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.10189700126647949},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0810767412185669},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07098674774169922},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.06281036138534546},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.05566486716270447},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.042466580867767334},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/1.9781611978322.71","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1.9781611978322.71","pdf_url":null,"source":{"id":"https://openalex.org/S4306463922","display_name":"Society for Industrial and Applied Mathematics eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2025 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2370014976","https://openalex.org/W2350399852","https://openalex.org/W4238714840","https://openalex.org/W3047864323","https://openalex.org/W1036777753","https://openalex.org/W2181928643","https://openalex.org/W4379210352","https://openalex.org/W3004700962","https://openalex.org/W2994963386","https://openalex.org/W2367020632"],"abstract_inverted_index":{"We":[0,123,132],"present":[1,124],"improved":[2,67],"bounds":[3],"for":[4,47,94,97,112,145,164],"randomly":[5],"sampling":[6],"k-colorings":[7],"of":[8,60,108,139],"graphs":[9,96],"with":[10,158],"maximum":[11,58],"degree":[12,59],"\u0394;":[13],"our":[14],"results":[15],"hold":[16],"without":[17],"any":[18],"further":[19],"assumptions":[20],"on":[21],"the":[22,57,61,91,109,125,146],"graph.":[23,63],"The":[24],"Glauber":[25,48],"dynamics":[26,49,78,111,148],"is":[27,56],"a":[28,76,159],"simple":[29,160],"single-site":[30],"update":[31],"Markov":[32],"chain.":[33],"Jerrum":[34],"(1995)":[35],"proved":[36],"an":[37,134],"optimal":[38,106,135],"O":[39,140],"(n":[40,141],"log":[41,142],"n":[42,143],")":[43,144],"mixing":[44,107,136],"time":[45,137],"bound":[46,65,138],"whenever":[50],"k":[51,72,113,150],">":[52,73,114,151],"2\u0394":[53],"where":[54,119],"\u0394":[55],"input":[62],"This":[64],"was":[66,90],"by":[68],"Vigoda":[69],"(1999)":[70],"to":[71],"(11/6)\u0394":[74],"using":[75],"\u201cflip\u201d":[77],"which":[79],"recolors":[80],"(small)":[81],"maximal":[82],"2-colored":[83],"components":[84],"in":[85],"each":[86],"step.":[87],"Vigoda\u2019s":[88],"result":[89],"best":[92],"known":[93],"general":[95],"20":[98],"years":[99],"until":[100],"Chen":[101],"et":[102],"al.":[103],"(2019)":[104],"established":[105],"flip":[110,147],"(11/6":[115],"\u2014":[116],"\u03b5":[117,120],")\u0394":[118],"\u2248":[121],"10-5.":[122],"first":[126],"substantial":[127],"improvement":[128],"over":[129],"these":[130],"results.":[131],"prove":[133],"when":[149],"1.809\u0394.":[152],"Our":[153],"proof":[154],"utilizes":[155],"path":[156],"coupling":[157],"weighted":[161],"Hamming":[162],"distance":[163],"\u201cunblocked\u201d":[165],"neighbors.":[166]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}