{"id":"https://openalex.org/W2971690425","doi":"https://doi.org/10.1137/20m1347747","title":"Counting Weighted Independent Sets beyond the Permanent","display_name":"Counting Weighted Independent Sets beyond the Permanent","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W2971690425","doi":"https://doi.org/10.1137/20m1347747","mag":"2971690425"},"language":"en","primary_location":{"id":"doi:10.1137/20m1347747","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1347747","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"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 Discrete Mathematics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1909.03414","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019297501","display_name":"Martin Dyer","orcid":"https://orcid.org/0000-0002-2018-0374"},"institutions":[{"id":"https://openalex.org/I130828816","display_name":"University of Leeds","ror":"https://ror.org/024mrxd33","country_code":"GB","type":"education","lineage":["https://openalex.org/I130828816"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Martin Dyer","raw_affiliation_strings":["University of Leeds"],"raw_orcid":"https://orcid.org/0000-0002-2018-0374","affiliations":[{"raw_affiliation_string":"University of Leeds","institution_ids":["https://openalex.org/I130828816"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090122841","display_name":"Mark Jerrum","orcid":"https://orcid.org/0000-0003-0863-7279"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mark Jerrum","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-0863-7279","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069794832","display_name":"Haiko M\u00fcller","orcid":"https://orcid.org/0000-0002-1123-1774"},"institutions":[{"id":"https://openalex.org/I130828816","display_name":"University of Leeds","ror":"https://ror.org/024mrxd33","country_code":"GB","type":"education","lineage":["https://openalex.org/I130828816"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Haiko M\u00fcller","raw_affiliation_strings":["University of Leeds"],"raw_orcid":"https://orcid.org/0000-0002-1123-1774","affiliations":[{"raw_affiliation_string":"University of Leeds","institution_ids":["https://openalex.org/I130828816"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077118262","display_name":"Kristina Vu\u0161kovi\u0107","orcid":"https://orcid.org/0000-0003-3286-3145"},"institutions":[{"id":"https://openalex.org/I130828816","display_name":"University of Leeds","ror":"https://ror.org/024mrxd33","country_code":"GB","type":"education","lineage":["https://openalex.org/I130828816"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Kristina Vu\u0161kovi\u0107","raw_affiliation_strings":["University of Leeds"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Leeds","institution_ids":["https://openalex.org/I130828816"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1522,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.46532196,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"35","issue":"2","first_page":"1503","last_page":"1524"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994999766349792,"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/T11476","display_name":"Graph theory and applications","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9991999864578247,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8033614158630371},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.688027024269104},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.651046633720398},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.6305643320083618},{"id":"https://openalex.org/keywords/cograph","display_name":"Cograph","score":0.5783509612083435},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4900575876235962},{"id":"https://openalex.org/keywords/split-graph","display_name":"Split graph","score":0.469548761844635},{"id":"https://openalex.org/keywords/strong-perfect-graph-theorem","display_name":"Strong perfect graph theorem","score":0.45188838243484497},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.44976502656936646},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.42771509289741516},{"id":"https://openalex.org/keywords/triangle-free-graph","display_name":"Triangle-free graph","score":0.4129522442817688},{"id":"https://openalex.org/keywords/complete-bipartite-graph","display_name":"Complete bipartite graph","score":0.4106069505214691},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.2796240746974945}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8033614158630371},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.688027024269104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.651046633720398},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.6305643320083618},{"id":"https://openalex.org/C59824394","wikidata":"https://www.wikidata.org/wiki/Q5141281","display_name":"Cograph","level":5,"score":0.5783509612083435},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4900575876235962},{"id":"https://openalex.org/C8554925","wikidata":"https://www.wikidata.org/wiki/Q3893853","display_name":"Split graph","level":5,"score":0.469548761844635},{"id":"https://openalex.org/C51044901","wikidata":"https://www.wikidata.org/wiki/Q16680059","display_name":"Strong perfect graph theorem","level":5,"score":0.45188838243484497},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.44976502656936646},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.42771509289741516},{"id":"https://openalex.org/C114727528","wikidata":"https://www.wikidata.org/wiki/Q7840044","display_name":"Triangle-free graph","level":5,"score":0.4129522442817688},{"id":"https://openalex.org/C134119311","wikidata":"https://www.wikidata.org/wiki/Q913598","display_name":"Complete bipartite graph","level":4,"score":0.4106069505214691},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.2796240746974945}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/20m1347747","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1347747","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"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 Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:eprints.whiterose.ac.uk:172466","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400854","display_name":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800616092","host_organization_name":"White Rose University Consortium","host_organization_lineage":["https://openalex.org/I2800616092"],"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:arXiv.org:1909.03414","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1909.03414","pdf_url":"https://arxiv.org/pdf/1909.03414","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":"mag:2971690425","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1909.03414v2","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":"doi:10.48550/arxiv.1909.03414","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1909.03414","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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1909.03414","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1909.03414","pdf_url":"https://arxiv.org/pdf/1909.03414","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":[{"id":"https://openalex.org/G1507130329","display_name":null,"funder_award_id":"EP/N019660/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6555597187","display_name":"Sampling in Hereditary Classes","funder_award_id":"EP/S016562/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8080949397","display_name":null,"funder_award_id":"EP/S016562/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8180356265","display_name":null,"funder_award_id":"EP/S016694/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8494666276","display_name":"Sampling in Hereditary Classes","funder_award_id":"EP/S016694/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8755131853","display_name":"Structure of Hereditary Graph Classes and Its Algorithmic Consequences","funder_award_id":"EP/N019660/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1559144499","https://openalex.org/W1562378785","https://openalex.org/W1579049696","https://openalex.org/W1963707128","https://openalex.org/W1973199140","https://openalex.org/W1985260677","https://openalex.org/W1991728994","https://openalex.org/W1994363553","https://openalex.org/W2000763343","https://openalex.org/W2006912660","https://openalex.org/W2019030165","https://openalex.org/W2019761982","https://openalex.org/W2029471776","https://openalex.org/W2058537654","https://openalex.org/W2059608229","https://openalex.org/W2060222605","https://openalex.org/W2065761231","https://openalex.org/W2076296189","https://openalex.org/W2081254453","https://openalex.org/W2095243185","https://openalex.org/W2096626276","https://openalex.org/W2100432797","https://openalex.org/W2100440346","https://openalex.org/W2106285343","https://openalex.org/W2118348286","https://openalex.org/W2147513353","https://openalex.org/W2161611531","https://openalex.org/W2177243619","https://openalex.org/W2798588639","https://openalex.org/W2903718998","https://openalex.org/W3111890340","https://openalex.org/W4233756358"],"related_works":["https://openalex.org/W2903718998","https://openalex.org/W1936195772","https://openalex.org/W1558167226","https://openalex.org/W1994363553","https://openalex.org/W2966094451","https://openalex.org/W2082616837","https://openalex.org/W2771182029","https://openalex.org/W3119554879","https://openalex.org/W1500336836","https://openalex.org/W1977227483","https://openalex.org/W18199820","https://openalex.org/W2083238533","https://openalex.org/W1971558924","https://openalex.org/W2002729802","https://openalex.org/W2015792797","https://openalex.org/W2276402578","https://openalex.org/W78868202","https://openalex.org/W2255497324","https://openalex.org/W3014452398","https://openalex.org/W1986870886"],"abstract_inverted_index":{"Jerrum,":[0,92],"Sinclair,":[1,93],"and":[2,71,94,108,144,150,160,169,171],"Vigoda":[3,95],"[J.":[4,152,162,173],"ACM,":[5],"51":[6],"(2004),":[7],"pp.":[8,178],"671--697]":[9],"showed":[10],"that":[11,100,111],"the":[12,31,48,56,77,89,115,134],"permanent":[13],"of":[14,34,51,59,65,79,91,119,136,148],"any":[15],"square":[16],"matrix":[17],"can":[18,26],"be":[19,27,44,75],"estimated":[20],"in":[21,37,55,140],"polynomial":[22],"time.":[23],"This":[24],"computation":[25],"viewed":[28,45],"as":[29,46],"approximating":[30,47],"partition":[32,49],"function":[33,50],"edge-weighted":[35],"matchings":[36],"a":[38,60],"bipartite":[39,61,66],"graph.":[40,62],"Equivalently,":[41],"this":[42],"may":[43],"vertex-weighted":[52],"independent":[53],"sets":[54],"line":[57],"graph":[58,129,142],"Line":[63],"graphs":[64,67,70],"are":[68,72,126],"perfect":[69],"known":[73],"to":[74,103,114],"precisely":[76],"class":[78,118],"(claw,":[80,104],"diamond,":[81],"odd":[82,105,121],"hole)-free":[83,106,122],"graphs.":[84,123],"So":[85],"how":[86],"far":[87],"does":[88],"result":[90],"extend?":[96],"We":[97],"first":[98],"show":[99,110],"it":[101,112],"extends":[102,113],"graphs,":[107],"then":[109],"even":[116],"larger":[117],"(fork,":[120],"Our":[124],"techniques":[125],"based":[127],"on":[128,145],"decompositions,":[130],"which":[131],"have":[132],"been":[133],"focus":[135],"much":[137],"recent":[138],"work":[139],"structural":[141,146],"theory,":[143],"results":[147],"Chv\u00e1tal":[149],"Sbihi":[151],"Combin.":[153,163],"Theory":[154,164],"Ser.":[155,165],"B,":[156,166],"44":[157],"(1988)],":[158],"Maffray":[159],"Reed":[161],"75":[167],"(1999)],":[168],"Lozin":[170],"Milani\u010d":[172],"Discrete":[174],"Algorithms,":[175],"6":[176],"(2008),":[177],"595--604].":[179]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
