{"id":"https://openalex.org/W2026424358","doi":"https://doi.org/10.1016/s0012-365x(99)00377-5","title":"The number of 4-cycles in 2-factorizations of K2n minus a 1-factor","display_name":"The number of 4-cycles in 2-factorizations of K2n minus a 1-factor","publication_year":2000,"publication_date":"2000-06-01","ids":{"openalex":"https://openalex.org/W2026424358","doi":"https://doi.org/10.1016/s0012-365x(99)00377-5","mag":"2026424358"},"language":"en","primary_location":{"id":"doi:10.1016/s0012-365x(99)00377-5","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0012-365x(99)00377-5","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0012365X99003775/pdf","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":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S0012365X99003775/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002832519","display_name":"Peter D. Adams","orcid":"https://orcid.org/0000-0002-0684-1770"},"institutions":[{"id":"https://openalex.org/I165143802","display_name":"The University of Queensland","ror":"https://ror.org/00rqy9422","country_code":"AU","type":"education","lineage":["https://openalex.org/I165143802"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Peter Adams","raw_affiliation_strings":["Department of Mathematics, The University of Queensland, QLD 4072, Australia","Department of Mathematics, The University of Queensland QLD 4072, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Queensland, QLD 4072, Australia","institution_ids":["https://openalex.org/I165143802"]},{"raw_affiliation_string":"Department of Mathematics, The University of Queensland QLD 4072, Australia","institution_ids":["https://openalex.org/I165143802"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004457068","display_name":"Elizabeth J. Billington","orcid":null},"institutions":[{"id":"https://openalex.org/I165143802","display_name":"The University of Queensland","ror":"https://ror.org/00rqy9422","country_code":"AU","type":"education","lineage":["https://openalex.org/I165143802"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Elizabeth J. Billington","raw_affiliation_strings":["Department of Mathematics, The University of Queensland, QLD 4072, Australia","Department of Mathematics, The University of Queensland QLD 4072, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Queensland, QLD 4072, Australia","institution_ids":["https://openalex.org/I165143802"]},{"raw_affiliation_string":"Department of Mathematics, The University of Queensland QLD 4072, Australia","institution_ids":["https://openalex.org/I165143802"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029174690","display_name":"Italo J. Dejter","orcid":"https://orcid.org/0000-0003-0288-1748"},"institutions":[{"id":"https://openalex.org/I1662191","display_name":"University of Puerto Rico at R\u00edo Piedras","ror":"https://ror.org/0453v4r20","country_code":"PR","type":"education","lineage":["https://openalex.org/I1662191","https://openalex.org/I200399037"]}],"countries":["PR"],"is_corresponding":false,"raw_author_name":"I.J. Dejter","raw_affiliation_strings":["Department of Mathematics, Faculty of Natural Sciences, University of Puerto Rico, Rio Piedras, PR 00931, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Natural Sciences, University of Puerto Rico, Rio Piedras, PR 00931, USA","institution_ids":["https://openalex.org/I1662191"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113776318","display_name":"C.C. Lindner","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.C. Lindner","raw_affiliation_strings":["Department of Discrete and Statistical Sciences, 120 Math Annex, Auburn University, Auburn, AL 36849, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Discrete and Statistical Sciences, 120 Math Annex, Auburn University, Auburn, AL 36849, USA","institution_ids":["https://openalex.org/I82497590"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5113776318"],"corresponding_institution_ids":["https://openalex.org/I82497590"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.09919884,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"220","issue":"1-3","first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9968000054359436,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9968000054359436,"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/T12504","display_name":"Mathematics and Applications","score":0.9110000133514404,"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/mathematics","display_name":"Mathematics","score":0.861298680305481},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.7761931419372559},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6986007690429688},{"id":"https://openalex.org/keywords/factor","display_name":"Factor (programming language)","score":0.6833610534667969},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4221184253692627},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11980754137039185},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09151694178581238}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.861298680305481},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.7761931419372559},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6986007690429688},{"id":"https://openalex.org/C2781039887","wikidata":"https://www.wikidata.org/wiki/Q1391724","display_name":"Factor (programming language)","level":2,"score":0.6833610534667969},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4221184253692627},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11980754137039185},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09151694178581238},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0012-365x(99)00377-5","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0012-365x(99)00377-5","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0012365X99003775/pdf","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"},{"id":"pmh:oai:espace.library.uq.edu.au:UQ:36425","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402388","display_name":"Queensland's institutional digital repository (The University of Queensland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I165143802","host_organization_name":"The University of Queensland","host_organization_lineage":["https://openalex.org/I165143802"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.1016/s0012-365x(99)00377-5","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0012-365x(99)00377-5","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0012365X99003775/pdf","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2026424358.pdf","grobid_xml":"https://content.openalex.org/works/W2026424358.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
