{"id":"https://openalex.org/W1495601609","doi":"https://doi.org/10.1016/s0012-365x(02)00477-6","title":"A partial 2k-cycle system of order n can be embedded in a 2k-cycle system of order kn+c(k),k\u2a7e3, where c(k) is a quadratic function of k","display_name":"A partial 2k-cycle system of order n can be embedded in a 2k-cycle system of order kn+c(k),k\u2a7e3, where c(k) is a quadratic function of k","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1495601609","doi":"https://doi.org/10.1016/s0012-365x(02)00477-6","mag":"1495601609"},"language":"en","primary_location":{"id":"doi:10.1016/s0012-365x(02)00477-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(02)00477-6","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, 120 Mathematics Annex, Auburn University, Auburn, AL 36849-5307, USA","Department of Discrete and Statistical Sciences, 120 Mathematics Annex, Auburn University, Auburn, AL#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Discrete and Statistical Sciences, 120 Mathematics Annex, Auburn University, Auburn, AL 36849-5307, USA","institution_ids":["https://openalex.org/I82497590"]},{"raw_affiliation_string":"Department of Discrete and Statistical Sciences, 120 Mathematics Annex, Auburn University, Auburn, AL#TAB#","institution_ids":["https://openalex.org/I82497590"]}]},{"author_position":"middle","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 Mathematics Annex, Auburn University, Auburn, AL 36849-5307, USA","Department of Discrete and Statistical Sciences, 120 Mathematics Annex, Auburn University, Auburn, AL#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Discrete and Statistical Sciences, 120 Mathematics Annex, Auburn University, Auburn, AL 36849-5307, USA","institution_ids":["https://openalex.org/I82497590"]},{"raw_affiliation_string":"Department of Discrete and Statistical Sciences, 120 Mathematics Annex, Auburn University, Auburn, AL#TAB#","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":false,"raw_author_name":"C.A. Rodger","raw_affiliation_strings":["Department of Discrete and Statistical Sciences, 120 Mathematics Annex, Auburn University, Auburn, AL 36849-5307, USA","Department of Discrete and Statistical Sciences, 120 Mathematics Annex, Auburn University, Auburn, AL#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Discrete and Statistical Sciences, 120 Mathematics Annex, Auburn University, Auburn, AL 36849-5307, USA","institution_ids":["https://openalex.org/I82497590"]},{"raw_affiliation_string":"Department of Discrete and Statistical Sciences, 120 Mathematics Annex, Auburn University, Auburn, AL#TAB#","institution_ids":["https://openalex.org/I82497590"]}]}],"institutions":[],"countries_distinct_count":1,"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":0.3525,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.58609845,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"261","issue":"1-3","first_page":"325","last_page":"336"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":1.0,"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":1.0,"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/T11130","display_name":"Coding theory and cryptography","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10849","display_name":"Finite Group Theory Research","score":0.9571999907493591,"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":0.7873823642730713},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.7432690262794495},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7165913581848145},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.6719916462898254},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.6052372455596924},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5986719727516174},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5079293847084045},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35635411739349365},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12566274404525757},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06286817789077759},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.04819035530090332}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7873823642730713},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.7432690262794495},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7165913581848145},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.6719916462898254},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.6052372455596924},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5986719727516174},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5079293847084045},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35635411739349365},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12566274404525757},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06286817789077759},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.04819035530090332},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0012-365x(02)00477-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(02)00477-6","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1541637185","https://openalex.org/W1963501983","https://openalex.org/W2046209065","https://openalex.org/W2068457180","https://openalex.org/W2084812883","https://openalex.org/W2089594612","https://openalex.org/W2752202931"],"related_works":["https://openalex.org/W2081900870","https://openalex.org/W3111219495","https://openalex.org/W2183306018","https://openalex.org/W2549990292","https://openalex.org/W2345479200","https://openalex.org/W2951819827","https://openalex.org/W2849310602","https://openalex.org/W2419146053","https://openalex.org/W3006008237","https://openalex.org/W1993390207"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}