{"id":"https://openalex.org/W2167877620","doi":"https://doi.org/10.37236/3028","title":"Towards Random Uniform Sampling of Bipartite Graphs with given Degree Sequence","display_name":"Towards Random Uniform Sampling of Bipartite Graphs with given Degree Sequence","publication_year":2013,"publication_date":"2013-01-21","ids":{"openalex":"https://openalex.org/W2167877620","doi":"https://doi.org/10.37236/3028","mag":"2167877620"},"language":"en","primary_location":{"id":"doi:10.37236/3028","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3028","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i1p16/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i1p16/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085275630","display_name":"Istv\u00e1n Mikl\u00f3s","orcid":"https://orcid.org/0000-0002-1160-6855"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Istv\u00e1n Mikl\u00f3s","raw_affiliation_strings":["Alfr\u00e9d R\u00e9nyi Institute of Mathematics,\r\nHungarian Academy of Sciences","Alfr\u00e9d R\u00e9nyi Institute of Mathematics,\nHungarian Academy of Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics,\r\nHungarian Academy of Sciences","institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics,\nHungarian Academy of Sciences","institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037065021","display_name":"P\u00e9ter L. Erd\u0151s","orcid":"https://orcid.org/0000-0002-1139-2316"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"P\u00e9ter L Erd\u0151s","raw_affiliation_strings":["Alfr\u00e9d R\u00e9nyi Institute of Mathematics,\r\nHungarian Academy of Sciences","Alfr\u00e9d R\u00e9nyi Institute of Mathematics,\nHungarian Academy of Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics,\r\nHungarian Academy of Sciences","institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics,\nHungarian Academy of Sciences","institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060501499","display_name":"Lajos Soukup","orcid":"https://orcid.org/0000-0002-3975-0293"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Lajos Soukup","raw_affiliation_strings":["Alfr\u00e9d R\u00e9nyi Institute of Mathematics,\r\nHungarian Academy of Sciences","Alfr\u00e9d R\u00e9nyi Institute of Mathematics,\nHungarian Academy of Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics,\r\nHungarian Academy of Sciences","institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics,\nHungarian Academy of Sciences","institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.1934,"has_fulltext":true,"cited_by_count":51,"citation_normalized_percentile":{"value":0.9490045,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"20","issue":"1","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":0.9997000098228455,"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":0.9997000098228455,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9972000122070312,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/mathematics","display_name":"Mathematics","score":0.8752018213272095},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.8139225244522095},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8058888912200928},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.747401237487793},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.6915463805198669},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6215884685516357},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5514166355133057},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5478425621986389},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.481845498085022},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10014691948890686},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.08741787075996399}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8752018213272095},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.8139225244522095},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8058888912200928},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.747401237487793},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.6915463805198669},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6215884685516357},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5514166355133057},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5478425621986389},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.481845498085022},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10014691948890686},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.08741787075996399},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.37236/3028","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3028","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i1p16/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:real.mtak.hu:9898","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400081","display_name":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210140733","host_organization_name":"Library and Information Centre of the Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I4210140733"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:eprints.sztaki.hu:7561","is_oa":false,"landing_page_url":"http://eprints.sztaki.hu/7561/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401907","display_name":"SZTAKI Publication Repository (Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I7597260","host_organization_name":"Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I7597260"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.37236/3028","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3028","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i1p16/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1434536661","display_name":null,"funder_award_id":"FA9550-12-1-0405","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G1523888516","display_name":null,"funder_award_id":"FA9550-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G2538793358","display_name":null,"funder_award_id":"FA9550-12-1-0405","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"id":"https://openalex.org/G5809100787","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G6071252945","display_name":null,"funder_award_id":"FA9550-12","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7090116110","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320332467","funder_display_name":"U.S. Air Force"},{"id":"https://openalex.org/G7391891542","display_name":null,"funder_award_id":"FA9550-12-1","funder_id":"https://openalex.org/F4320332467","funder_display_name":"U.S. Air Force"},{"id":"https://openalex.org/G7999580237","display_name":null,"funder_award_id":"FA9550-12-1","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"},{"id":"https://openalex.org/F4320332467","display_name":"U.S. Air Force","ror":"https://ror.org/006gmme17"},{"id":"https://openalex.org/F4320332815","display_name":"Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2167877620.pdf","grobid_xml":"https://content.openalex.org/works/W2167877620.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W120264976","https://openalex.org/W1988307095","https://openalex.org/W1997698259","https://openalex.org/W2016743875","https://openalex.org/W2016806840","https://openalex.org/W2018480107","https://openalex.org/W2021903957","https://openalex.org/W2033281046","https://openalex.org/W2044881936","https://openalex.org/W2056760934","https://openalex.org/W2063409331","https://openalex.org/W2091476183","https://openalex.org/W2138309709","https://openalex.org/W2147824439","https://openalex.org/W2167223378","https://openalex.org/W2260080129","https://openalex.org/W2610630562","https://openalex.org/W3041685368","https://openalex.org/W4230967157","https://openalex.org/W4243696573","https://openalex.org/W4246168648","https://openalex.org/W4247511870"],"related_works":["https://openalex.org/W2371352078","https://openalex.org/W2953461625","https://openalex.org/W2077383796","https://openalex.org/W2080136900","https://openalex.org/W2372768926","https://openalex.org/W2999799752","https://openalex.org/W2567825307","https://openalex.org/W2054458431","https://openalex.org/W3013576436","https://openalex.org/W2359588980"],"abstract_inverted_index":{"In":[0],"this":[1,26],"paper":[2],"we":[3],"consider":[4],"a":[5,33],"simple":[6],"Markov":[7,27],"chain":[8,28],"for":[9],"bipartite":[10],"graphs":[11],"with":[12],"given":[13],"degree":[14,41],"sequence":[15],"on":[16],"$n$":[17,36],"vertices.":[18],"We":[19],"show":[20],"that":[21],"the":[22,50,53],"mixing":[23],"time":[24],"of":[25,39,45,52],"is":[29],"bounded":[30],"above":[31],"by":[32],"polynomial":[34],"in":[35,37,49,56],"case":[38],"half-regular":[40],"sequence.":[42],"The":[43],"novelty":[44],"our":[46],"approach":[47],"lies":[48],"construction":[51],"multicommodity":[54],"flow":[55],"Sinclair's":[57],"method.":[58]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}