{"id":"https://openalex.org/W2030157764","doi":"https://doi.org/10.1016/0012-365x(95)00157-r","title":"On the number of edge-disjoint one factors and the existence of k-factors in complete multipartite graphs","display_name":"On the number of edge-disjoint one factors and the existence of k-factors in complete multipartite graphs","publication_year":1996,"publication_date":"1996-11-01","ids":{"openalex":"https://openalex.org/W2030157764","doi":"https://doi.org/10.1016/0012-365x(95)00157-r","mag":"2030157764"},"language":"en","primary_location":{"id":"doi:10.1016/0012-365x(95)00157-r","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(95)00157-r","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012905853","display_name":"D. G. Hoffman","orcid":null},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D.G. Hoffman","raw_affiliation_strings":["Department of Discrete and Statistical Sciences. Auburn University, Auburn, AL 36849-5307, USA","Department of Discrete and Statistical Sciences, Auburn University, Auburn, AL 36849-5307 USA"],"affiliations":[{"raw_affiliation_string":"Department of Discrete and Statistical Sciences. Auburn University, Auburn, AL 36849-5307, USA","institution_ids":["https://openalex.org/I82497590"]},{"raw_affiliation_string":"Department of Discrete and Statistical Sciences, Auburn University, Auburn, AL 36849-5307 USA","institution_ids":["https://openalex.org/I82497590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091292004","display_name":"C. A. Rodger","orcid":null},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"C.A. Rodger","raw_affiliation_strings":["Department of Discrete and Statistical Sciences. Auburn University, Auburn, AL 36849-5307, USA","Department of Discrete and Statistical Sciences, Auburn University, Auburn, AL 36849-5307 USA"],"affiliations":[{"raw_affiliation_string":"Department of Discrete and Statistical Sciences. Auburn University, Auburn, AL 36849-5307, USA","institution_ids":["https://openalex.org/I82497590"]},{"raw_affiliation_string":"Department of Discrete and Statistical Sciences, Auburn University, Auburn, AL 36849-5307 USA","institution_ids":["https://openalex.org/I82497590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091292004"],"corresponding_institution_ids":["https://openalex.org/I82497590"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.17200938,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"160","issue":"1-3","first_page":"177","last_page":"187"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9997000098228455,"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":0.9977999925613403,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multipartite","display_name":"Multipartite","score":0.9181510210037231},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.894440770149231},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8459782600402832},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.6337877511978149},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5962132215499878},{"id":"https://openalex.org/keywords/simple-graph","display_name":"Simple graph","score":0.49205702543258667},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.47322356700897217},{"id":"https://openalex.org/keywords/cograph","display_name":"Cograph","score":0.44936031103134155},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.35596948862075806},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.21923628449440002},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.05864724516868591}],"concepts":[{"id":"https://openalex.org/C166733315","wikidata":"https://www.wikidata.org/wiki/Q6934831","display_name":"Multipartite","level":4,"score":0.9181510210037231},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.894440770149231},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8459782600402832},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.6337877511978149},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5962132215499878},{"id":"https://openalex.org/C2993105083","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Simple graph","level":3,"score":0.49205702543258667},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.47322356700897217},{"id":"https://openalex.org/C59824394","wikidata":"https://www.wikidata.org/wiki/Q5141281","display_name":"Cograph","level":5,"score":0.44936031103134155},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.35596948862075806},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.21923628449440002},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.05864724516868591},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0012-365x(95)00157-r","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(95)00157-r","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W213068804","https://openalex.org/W1484040084","https://openalex.org/W1974651693","https://openalex.org/W1985986354","https://openalex.org/W2029062644","https://openalex.org/W2030668644","https://openalex.org/W2034827846","https://openalex.org/W2037568604","https://openalex.org/W2040888783","https://openalex.org/W2044484597","https://openalex.org/W2048300035","https://openalex.org/W2061372647","https://openalex.org/W2080048055","https://openalex.org/W2097849377","https://openalex.org/W3041686293","https://openalex.org/W3192960030","https://openalex.org/W4300303686"],"related_works":["https://openalex.org/W3160792420","https://openalex.org/W4287181997","https://openalex.org/W2886071965","https://openalex.org/W4297803065","https://openalex.org/W1625791408","https://openalex.org/W2754930390","https://openalex.org/W3103034549","https://openalex.org/W3168725788","https://openalex.org/W4388081483","https://openalex.org/W2730710490"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
