{"id":"https://openalex.org/W2130745630","doi":"https://doi.org/10.37236/2658","title":"Matchings in Random Biregular Bipartite Graphs","display_name":"Matchings in Random Biregular Bipartite Graphs","publication_year":2013,"publication_date":"2013-03-24","ids":{"openalex":"https://openalex.org/W2130745630","doi":"https://doi.org/10.37236/2658","mag":"2130745630"},"language":"en","primary_location":{"id":"doi:10.37236/2658","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2658","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i1p60/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/v20i1p60/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086363230","display_name":"Guillem Perarnau","orcid":"https://orcid.org/0000-0002-1953-9511"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Guillem Perarnau","raw_affiliation_strings":["Departament de Matem\u00e0tica Aplicada IV\r\nUniversitat Polit\u00e8cnica de Catalunya, BarcelonaTech","Departament de Matem\u00e0tica Aplicada IV#R##N#Universitat Polit\u00e8cnica de Catalunya, BarcelonaTech"],"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tica Aplicada IV\r\nUniversitat Polit\u00e8cnica de Catalunya, BarcelonaTech","institution_ids":["https://openalex.org/I9617848"]},{"raw_affiliation_string":"Departament de Matem\u00e0tica Aplicada IV#R##N#Universitat Polit\u00e8cnica de Catalunya, BarcelonaTech","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023427657","display_name":"Giorgis Petridis","orcid":"https://orcid.org/0009-0007-5296-0547"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Giorgis Petridis","raw_affiliation_strings":["Department of Mathematics\r\nUniversity of Rochester","Department of Mathematics#R##N#University of Rochester"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics\r\nUniversity of Rochester","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics#R##N#University of Rochester","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5086363230"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":null,"apc_paid":null,"fwci":1.75,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.82972899,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9998999834060669,"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":0.9995999932289124,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9994000196456909,"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/mathematics","display_name":"Mathematics","score":0.8609196543693542},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.8457916378974915},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8029401302337646},{"id":"https://openalex.org/keywords/strong-perfect-graph-theorem","display_name":"Strong perfect graph theorem","score":0.7530086040496826},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5345451235771179},{"id":"https://openalex.org/keywords/robertson\u2013seymour-theorem","display_name":"Robertson\u2013Seymour theorem","score":0.5280894637107849},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5152464509010315},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.4687642753124237},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.4346843957901001},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.41362589597702026},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.38274669647216797},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.2501564025878906},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.1551203727722168},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.05863380432128906},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.04681321978569031}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8609196543693542},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.8457916378974915},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8029401302337646},{"id":"https://openalex.org/C51044901","wikidata":"https://www.wikidata.org/wiki/Q16680059","display_name":"Strong perfect graph theorem","level":5,"score":0.7530086040496826},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5345451235771179},{"id":"https://openalex.org/C173644813","wikidata":"https://www.wikidata.org/wiki/Q3527155","display_name":"Robertson\u2013Seymour theorem","level":5,"score":0.5280894637107849},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5152464509010315},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.4687642753124237},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.4346843957901001},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.41362589597702026},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.38274669647216797},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.2501564025878906},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.1551203727722168},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05863380432128906},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.04681321978569031},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/2658","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2658","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i1p60/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:dnet:upcommonspor::c7a019eaaf1b475a4dfa9fb3c2508583","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/20809","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.37236/2658","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2658","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i1p60/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":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2130745630.pdf","grobid_xml":"https://content.openalex.org/works/W2130745630.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W225487592","https://openalex.org/W1524380431","https://openalex.org/W1552867691","https://openalex.org/W1592213313","https://openalex.org/W1854241961","https://openalex.org/W1960402810","https://openalex.org/W1987254493","https://openalex.org/W1988442902","https://openalex.org/W1995083067","https://openalex.org/W2003791246","https://openalex.org/W2012853908","https://openalex.org/W2021434280","https://openalex.org/W2048272964","https://openalex.org/W2060615452","https://openalex.org/W2079458472","https://openalex.org/W2082971831","https://openalex.org/W2087392909","https://openalex.org/W2091022463","https://openalex.org/W2091476183","https://openalex.org/W2093881947","https://openalex.org/W2118950816","https://openalex.org/W2127629487","https://openalex.org/W2139757566","https://openalex.org/W2142440738","https://openalex.org/W2167789929","https://openalex.org/W2798588639","https://openalex.org/W2912209775","https://openalex.org/W6650988690","https://openalex.org/W6653615538","https://openalex.org/W6684523233"],"related_works":["https://openalex.org/W1586239617","https://openalex.org/W2145610052","https://openalex.org/W2439127873","https://openalex.org/W3215430368","https://openalex.org/W2132199417","https://openalex.org/W4389478392","https://openalex.org/W2083238533","https://openalex.org/W2007560929","https://openalex.org/W2152515622","https://openalex.org/W2044089009"],"abstract_inverted_index":{"We":[0,17,37],"study":[1],"the":[2],"existence":[3],"of":[4,12,26,47],"perfect":[5,31],"matchings":[6,32],"in":[7,33,52],"suitably":[8],"chosen":[9],"induced":[10],"subgraphs":[11],"random":[13,34],"biregular":[14],"bipartite":[15,35],"graphs.":[16,36],"prove":[18],"a":[19,23,45],"result":[20],"similar":[21],"to":[22,42],"classical":[24],"theorem":[25],"Erd\u00f6s":[27],"and":[28],"R\u00e9nyi":[29],"about":[30],"also":[38],"present":[39],"an":[40],"application":[41],"commutative":[43],"graphs,":[44],"class":[46],"graphs":[48],"that":[49],"are":[50],"featured":[51],"additive":[53],"number":[54],"theory.":[55]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}