{"id":"https://openalex.org/W2999290423","doi":"https://doi.org/10.37236/1022","title":"Regular Spanning Subgraphs of Bipartite Graphs of High Minimum Degree","display_name":"Regular Spanning Subgraphs of Bipartite Graphs of High Minimum Degree","publication_year":2007,"publication_date":"2007-10-16","ids":{"openalex":"https://openalex.org/W2999290423","doi":"https://doi.org/10.37236/1022","mag":"2999290423"},"language":"en","primary_location":{"id":"doi:10.37236/1022","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1022","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v14i1n21/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/v14i1n21/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050671510","display_name":"B\u00e9la Csaba","orcid":"https://orcid.org/0000-0002-6696-3219"},"institutions":[{"id":"https://openalex.org/I227486990","display_name":"University of Szeged","ror":"https://ror.org/01pnej532","country_code":"HU","type":"education","lineage":["https://openalex.org/I227486990"]},{"id":"https://openalex.org/I94339441","display_name":"Western Kentucky University","ror":"https://ror.org/0446vnd56","country_code":"US","type":"education","lineage":["https://openalex.org/I94339441"]},{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"funder","lineage":["https://openalex.org/I7597260"]}],"countries":["HU","US"],"is_corresponding":true,"raw_author_name":"B\u00e9la Csaba","raw_affiliation_strings":["Analysis and Stochastics Research Group of the Hungarian Academy of Sciences, University of Szeged, Hungary and Department of Mathematics,","Western Kentucky University, Bowling Green, KY, USA"],"affiliations":[{"raw_affiliation_string":"Analysis and Stochastics Research Group of the Hungarian Academy of Sciences, University of Szeged, Hungary and Department of Mathematics,","institution_ids":["https://openalex.org/I7597260","https://openalex.org/I227486990"]},{"raw_affiliation_string":"Western Kentucky University, Bowling Green, KY, USA","institution_ids":["https://openalex.org/I94339441"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050671510"],"corresponding_institution_ids":["https://openalex.org/I227486990","https://openalex.org/I7597260","https://openalex.org/I94339441"],"apc_list":null,"apc_paid":null,"fwci":1.0503,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.76960784,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"14","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":0.9998000264167786,"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":0.9998000264167786,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"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/combinatorics","display_name":"Combinatorics","score":0.9186146855354309},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8360438346862793},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.8083388805389404},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4817393124103546},{"id":"https://openalex.org/keywords/delta","display_name":"Delta","score":0.4406946897506714},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4343811571598053},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39568114280700684},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05892243981361389}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.9186146855354309},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8360438346862793},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.8083388805389404},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4817393124103546},{"id":"https://openalex.org/C5072461","wikidata":"https://www.wikidata.org/wiki/Q49506","display_name":"Delta","level":2,"score":0.4406946897506714},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4343811571598053},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39568114280700684},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05892243981361389},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"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:10.37236/1022","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1022","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v14i1n21/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"}],"best_oa_location":{"id":"doi:10.37236/1022","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1022","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v14i1n21/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":[{"id":"https://openalex.org/F4320321994","display_name":"Hungarian Scientific Research Fund","ror":"https://ror.org/00v349e63"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2999290423.pdf","grobid_xml":"https://content.openalex.org/works/W2999290423.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W1569752386","https://openalex.org/W2040000805","https://openalex.org/W2045256092","https://openalex.org/W2087348204","https://openalex.org/W2330675604","https://openalex.org/W2952165292","https://openalex.org/W4236720162","https://openalex.org/W4238816768"],"related_works":["https://openalex.org/W2371352078","https://openalex.org/W4221046490","https://openalex.org/W2953461625","https://openalex.org/W2077383796","https://openalex.org/W2080136900","https://openalex.org/W4297616267","https://openalex.org/W2372768926","https://openalex.org/W2999799752","https://openalex.org/W2502651140","https://openalex.org/W2567825307"],"abstract_inverted_index":{"Let":[0],"$G$":[1,27],"be":[2],"a":[3,29],"simple":[4],"balanced":[5],"bipartite":[6],"graph":[7],"on":[8],"$2n$":[9],"vertices,":[10],"$\\delta":[11,23],"=":[12],"\\delta(G)/n$,":[13],"and":[14],"$\\rho_0={\\delta":[15],"+":[16],"\\sqrt{2":[17],"\\delta":[18],"-1}":[19],"\\over":[20],"2}$.":[21],"If":[22],"\\ge":[24],"1/2$":[25],"then":[26],"has":[28],"$\\lfloor":[30],"\\rho_0":[31],"n":[32],"\\rfloor$-regular":[33],"spanning":[34],"subgraph.":[35],"The":[36],"statement":[37],"is":[38],"nearly":[39],"tight.":[40]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
