{"id":"https://openalex.org/W3212166429","doi":"https://doi.org/10.4230/lipics.isaac.2023.30","title":"Rapid Mixing for the Hardcore Glauber Dynamics and Other Markov Chains in Bounded-Treewidth Graphs","display_name":"Rapid Mixing for the Hardcore Glauber Dynamics and Other Markov Chains in Bounded-Treewidth Graphs","publication_year":2021,"publication_date":"2021-11-06","ids":{"openalex":"https://openalex.org/W3212166429","doi":"https://doi.org/10.4230/lipics.isaac.2023.30","mag":"3212166429"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2111.03898","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2111.03898","pdf_url":"https://arxiv.org/pdf/2111.03898","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2111.03898","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108527295","display_name":"David Eppstein","orcid":null},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eppstein, David","raw_affiliation_strings":["Department of Computer Science, University of California, Irvine, CA, USA","University of California, Irvine **"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of California, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]},{"raw_affiliation_string":"University of California, Irvine **","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066110850","display_name":"Daniel Frishberg","orcid":"https://orcid.org/0000-0002-1861-5439"},"institutions":[{"id":"https://openalex.org/I149919469","display_name":"California Polytechnic State University","ror":"https://ror.org/001gpfp45","country_code":"US","type":"education","lineage":["https://openalex.org/I149919469"]},{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Frishberg, Daniel","raw_affiliation_strings":["Department of Computer Science and Software Engineering, California Polytechnic State University, San Luis Obispo, CA, USA","University of California, Irvine **"],"raw_orcid":"https://orcid.org/0000-0002-1861-5439","affiliations":[{"raw_affiliation_string":"Department of Computer Science and Software Engineering, California Polytechnic State University, San Luis Obispo, CA, USA","institution_ids":["https://openalex.org/I149919469"]},{"raw_affiliation_string":"University of California, Irvine **","institution_ids":["https://openalex.org/I204250578"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"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":0.9998999834060669,"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":0.9998999834060669,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9947999715805054,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9945999979972839,"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/treewidth","display_name":"Treewidth","score":0.7906709909439087},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7222291827201843},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7114776968955994},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7010496854782104},{"id":"https://openalex.org/keywords/glauber","display_name":"Glauber","score":0.6611979603767395},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.6309303045272827},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.5562922358512878},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5135908126831055},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.4442600607872009},{"id":"https://openalex.org/keywords/partial-k-tree","display_name":"Partial k-tree","score":0.44251909852027893},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.43598735332489014},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3688938021659851},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.24038204550743103},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.23331034183502197},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07510638236999512},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06740328669548035}],"concepts":[{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.7906709909439087},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7222291827201843},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7114776968955994},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7010496854782104},{"id":"https://openalex.org/C2780708879","wikidata":"https://www.wikidata.org/wiki/Q5567254","display_name":"Glauber","level":3,"score":0.6611979603767395},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.6309303045272827},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.5562922358512878},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5135908126831055},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.4442600607872009},{"id":"https://openalex.org/C128764233","wikidata":"https://www.wikidata.org/wiki/Q7140374","display_name":"Partial k-tree","level":5,"score":0.44251909852027893},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.43598735332489014},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3688938021659851},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.24038204550743103},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.23331034183502197},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07510638236999512},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06740328669548035},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"pmh:oai:arXiv.org:2111.03898","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2111.03898","pdf_url":"https://arxiv.org/pdf/2111.03898","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:drops-oai.dagstuhl.de:19332","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ISAAC.2023.30","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol283-isaac2023/LIPIcs.ISAAC.2023.30/LIPIcs.ISAAC.2023.30.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"InProceedings"},{"id":"mag:3212166429","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2111.03898.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:escholarship.org:ark:/13030/qt2gf6m2jr","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/2gf6m2jr","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},{"id":"doi:10.48550/arxiv.2111.03898","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2111.03898","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.4230/lipics.isaac.2023.30","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.isaac.2023.30","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"ConferencePaper"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2111.03898","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2111.03898","pdf_url":"https://arxiv.org/pdf/2111.03898","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W813040336","https://openalex.org/W1550340970","https://openalex.org/W1571721549","https://openalex.org/W1990604066","https://openalex.org/W1999150260","https://openalex.org/W2000630284","https://openalex.org/W2005107874","https://openalex.org/W2019137761","https://openalex.org/W2022380818","https://openalex.org/W2029448190","https://openalex.org/W2033281046","https://openalex.org/W2034011690","https://openalex.org/W2034681107","https://openalex.org/W2035895308","https://openalex.org/W2047871605","https://openalex.org/W2060159282","https://openalex.org/W2072211488","https://openalex.org/W2083963621","https://openalex.org/W2095120546","https://openalex.org/W2138054943","https://openalex.org/W2161269121","https://openalex.org/W2172042336","https://openalex.org/W2173795713","https://openalex.org/W2544746413","https://openalex.org/W2559820531","https://openalex.org/W2578911019","https://openalex.org/W2619215003","https://openalex.org/W2794749612","https://openalex.org/W2884859923","https://openalex.org/W2887457655","https://openalex.org/W2889048642","https://openalex.org/W2962726369","https://openalex.org/W2962766843","https://openalex.org/W2963379837","https://openalex.org/W2963722886","https://openalex.org/W2963795759","https://openalex.org/W2964165785","https://openalex.org/W2965327006","https://openalex.org/W3089134820","https://openalex.org/W3102205987","https://openalex.org/W3105703683","https://openalex.org/W3114175352","https://openalex.org/W3116442988","https://openalex.org/W3126279954","https://openalex.org/W3156377038","https://openalex.org/W3161497090"],"related_works":["https://openalex.org/W3098791681","https://openalex.org/W2949729746","https://openalex.org/W2797861639","https://openalex.org/W3080798674","https://openalex.org/W2964262313","https://openalex.org/W1602512899","https://openalex.org/W3157711583","https://openalex.org/W2949945543","https://openalex.org/W2036650989","https://openalex.org/W3158696645","https://openalex.org/W2162945291","https://openalex.org/W2539516785","https://openalex.org/W3184951419","https://openalex.org/W2023065146","https://openalex.org/W2133453606","https://openalex.org/W1797876130","https://openalex.org/W1776308369","https://openalex.org/W2950224979","https://openalex.org/W2950262288","https://openalex.org/W3124770589"],"abstract_inverted_index":{"We":[0,20,65,117,146],"give":[1],"a":[2,8,17,55,123,129],"new":[3],"rapid":[4,68],"mixing":[5,69],"result":[6],"for":[7,37,44,62,70,107,154,175],"natural":[9],"random":[10,29],"walk":[11,30],"on":[12,74,179],"the":[13,34,38,49,108,136,156,176],"independent":[14,81,89],"sets":[15],"of":[16,48,158,181,183],"graph":[18],"$G$.":[19],"show":[21,67],"that":[22,159],"when":[23],"$G$":[24],"has":[25],"bounded":[26,97,184,187],"treewidth,":[27],"this":[28,148],"--":[31,41],"known":[32,105],"as":[33,132],"Glauber":[35,177],"dynamics":[36,178],"hardcore":[39],"model":[40],"mixes":[42],"rapidly":[43],"all":[45],"fixed":[46],"values":[47],"standard":[50],"parameter":[51],"$\u03bb>":[52],"0$,":[53],"giving":[54],"simple":[56],"alternative":[57,134],"to":[58,104,135,151],"existing":[59,165],"sampling":[60,109],"algorithms":[61,106],"these":[63,115],"structures.":[64],"also":[66,95],"analogous":[71],"Markov":[72],"chains":[73,153],"dominating":[75],"sets,":[76,82,90],"$b$-edge":[77],"covers,":[78],"$b$-matchings,":[79,87],"maximal":[80,84,88,92],"and":[83,91,110,144,170,172,186],"$b$-matchings.":[85],"(For":[86],"$b$-matchings":[93],"we":[94,126],"require":[96],"degree.)":[98],"Our":[99],"results":[100,120,166],"imply":[101],"simpler":[102],"alternatives":[103],"approximate":[111],"counting":[112],"problems":[113],"in":[114,128],"graphs.":[116],"prove":[118],"our":[119],"by":[121,140,167,173],"applying":[122],"divide-and-conquer":[124],"framework":[125,150,160],"developed":[127],"previous":[130],"paper,":[131],"an":[133],"projection-restriction":[137],"technique":[138],"introduced":[139],"Jerrum,":[141],"Son,":[142],"Tetali,":[143],"Vigoda.":[145],"extend":[147],"prior":[149],"handle":[152],"which":[155],"application":[157],"is":[161],"not":[162],"straightforward,":[163],"strengthening":[164],"Dyer,":[168],"Goldberg,":[169],"Jerrum":[171],"Heinrich":[174],"$q$-colorings":[180],"graphs":[182],"treewidth":[185],"degree.":[188]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2022-05-05T00:00:00"}