{"id":"https://openalex.org/W2163569587","doi":"https://doi.org/10.1002/jgt.3190130405","title":"On the construction of odd cycle systems","display_name":"On the construction of odd cycle systems","publication_year":1989,"publication_date":"1989-09-01","ids":{"openalex":"https://openalex.org/W2163569587","doi":"https://doi.org/10.1002/jgt.3190130405","mag":"2163569587"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.3190130405","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190130405","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/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":true,"raw_author_name":"D. G. Hoffman","raw_affiliation_strings":["Department of Algebra, Combinatorics and Analysis Auburn University Auburn, Alabama"],"affiliations":[{"raw_affiliation_string":"Department of Algebra, Combinatorics and Analysis Auburn University Auburn, Alabama","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":false,"raw_author_name":"C. C. Lindner","raw_affiliation_strings":["Department of Algebra, Combinatorics and Analysis Auburn University Auburn, Alabama"],"affiliations":[{"raw_affiliation_string":"Department of Algebra, Combinatorics and Analysis Auburn University Auburn, Alabama","institution_ids":["https://openalex.org/I82497590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091292004","display_name":"C. A. Rodger","orcid":"https://orcid.org/0000-0002-7324-0465"},"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 Algebra, Combinatorics and Analysis Auburn University Auburn, Alabama"],"affiliations":[{"raw_affiliation_string":"Department of Algebra, Combinatorics and Analysis Auburn University Auburn, Alabama","institution_ids":["https://openalex.org/I82497590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012905853"],"corresponding_institution_ids":["https://openalex.org/I82497590"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":2.9436,"has_fulltext":false,"cited_by_count":65,"citation_normalized_percentile":{"value":0.90944742,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"13","issue":"4","first_page":"417","last_page":"426"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9911999702453613,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9413999915122986,"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":0.8215723037719727},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.752843976020813},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6827590465545654},{"id":"https://openalex.org/keywords/existential-quantification","display_name":"Existential quantification","score":0.4276532530784607},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3530939817428589}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8215723037719727},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.752843976020813},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6827590465545654},{"id":"https://openalex.org/C136979486","wikidata":"https://www.wikidata.org/wiki/Q773483","display_name":"Existential quantification","level":2,"score":0.4276532530784607},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3530939817428589},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/jgt.3190130405","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190130405","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W61717954","https://openalex.org/W347024818","https://openalex.org/W1484040084","https://openalex.org/W1963501983","https://openalex.org/W2051745720","https://openalex.org/W2055579003","https://openalex.org/W2990709529","https://openalex.org/W3213692093","https://openalex.org/W6770755745","https://openalex.org/W7008874132"],"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/W3082032630","https://openalex.org/W2048227119","https://openalex.org/W2076082825"],"abstract_inverted_index":{"Abstract":[0],"Three":[1],"obvious":[2],"necessary":[3,43],"conditions":[4,44],"for":[5,47,61],"the":[6],"existence":[7],"of":[8,13,71,93],"a":[9,68,90],"k":[10,31,51,56],"\u2010cycle":[11],"system":[12,70,92],"order":[14,72,94],"n":[15,19,23,26,33,35,49,53,73,78,95,100,109],"are":[16,45,59],"that":[17,40],"if":[18,41,74,77,96,99],"&gt;":[20],"1":[21],"then":[22,57],"\u2a7e":[24],"k,":[25],"is":[27],"odd,":[28],"and":[29,75,87,97],"2":[30],"divides":[32],"(":[34],"\u2212":[36],"1).":[37],"We":[38],"show":[39],"these":[42],"sufficient":[46,60],"all":[48,62],"satisfying":[50],"\u2a7d":[52],"&lt;":[54],"3":[55],"they":[58],"n.":[63],"In":[64],"particular,":[65],"there":[66,88],"exists":[67,89],"15\u2010cycle":[69],"only":[76,98],"\u2261":[79,101],"1,":[80,102],"15,":[81,104],"21,":[82],"or":[83,105],"25":[84],"(mod":[85,107],"30),":[86],"21\u2010cycle":[91],"7,":[103],"21":[106],"42),":[108],"\u2260":[110],"7.":[111],"15.":[112]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
