{"id":"https://openalex.org/W2162545545","doi":"https://doi.org/10.1002/jgt.3190030408","title":"Three\u2010regular subgraphs of four\u2010regular graphs","display_name":"Three\u2010regular subgraphs of four\u2010regular graphs","publication_year":1979,"publication_date":"1979-12-01","ids":{"openalex":"https://openalex.org/W2162545545","doi":"https://doi.org/10.1002/jgt.3190030408","mag":"2162545545"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.3190030408","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190030408","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","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/A5111486123","display_name":"Va\u0161ek Chv\u00e1tal","orcid":null},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"V. Chv\u00e1tal","raw_affiliation_strings":["McGill University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"McGill University","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088309054","display_name":"Herbert Fleischner","orcid":"https://orcid.org/0000-0001-8588-5212"},"institutions":[{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"government","lineage":["https://openalex.org/I138211613"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"H. Fleischner","raw_affiliation_strings":["Austrian Academy of Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Austrian Academy of Sciences","institution_ids":["https://openalex.org/I138211613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108427378","display_name":"J. Sheehan","orcid":null},"institutions":[{"id":"https://openalex.org/I195460627","display_name":"University of Aberdeen","ror":"https://ror.org/016476m91","country_code":"GB","type":"education","lineage":["https://openalex.org/I195460627"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"J. Sheehan","raw_affiliation_strings":["University of Aberdeen"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Aberdeen","institution_ids":["https://openalex.org/I195460627"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062275812","display_name":"Carsten Thomassen","orcid":"https://orcid.org/0000-0003-0670-4079"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"C. Thomassen","raw_affiliation_strings":["Mathematics Institute, Aarhus"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Institute, Aarhus","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":1.9283,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.88843175,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"3","issue":"4","first_page":"371","last_page":"386"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.984499990940094,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10829","display_name":"Interconnection Networks and Systems","score":0.984499990940094,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9678000211715698,"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/T10849","display_name":"Finite Group Theory Research","score":0.9452999830245972,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8518444299697876},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8460232019424438},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.7234600186347961},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6717997193336487},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48497462272644043},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4579332172870636},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4428779184818268},{"id":"https://openalex.org/keywords/simple-graph","display_name":"Simple graph","score":0.4116480350494385}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8518444299697876},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8460232019424438},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.7234600186347961},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6717997193336487},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48497462272644043},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4579332172870636},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4428779184818268},{"id":"https://openalex.org/C2993105083","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Simple graph","level":3,"score":0.4116480350494385},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/jgt.3190030408","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190030408","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1985061810","https://openalex.org/W2063292248"],"related_works":["https://openalex.org/W4309222106","https://openalex.org/W4240581084","https://openalex.org/W2012590989","https://openalex.org/W4385681624","https://openalex.org/W2049141591","https://openalex.org/W2952569802","https://openalex.org/W2950489642","https://openalex.org/W1734188852","https://openalex.org/W4297939726","https://openalex.org/W4298858221"],"abstract_inverted_index":{"Abstract":[0],"Berge":[1],"conjectured":[2],"that":[3,16,40],"every":[4],"finite":[5],"simple":[6],"4\u2010regular":[7],"graph":[8],"G":[9,29,32,42,51],"contains":[10],"a":[11,44],"3\u2010regular":[12],"subgraph.":[13],"We":[14],"prove":[15,39],"this":[17],"conjecture":[18],"is":[19,33,43,53],"true":[20],"if":[21,41],"the":[22],"cyclic":[23],"edge":[24],"connectivity":[25],"\u03bb":[26,48],"c":[27,49],"(":[28,50],")":[30,52],"of":[31],"at":[34],"least":[35],"10.":[36],"Also":[37],"we":[38],"smallest":[45],"counterexample,":[46],"then":[47],"either":[54],"6":[55],"or":[56],"8.":[57]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-23T06:36:01.041984","created_date":"2025-10-10T00:00:00"}