{"id":"https://openalex.org/W2144538447","doi":"https://doi.org/10.37236/402","title":"Decomposing Complete Equipartite Graphs into Short Odd Cycles","display_name":"Decomposing Complete Equipartite Graphs into Short Odd Cycles","publication_year":2010,"publication_date":"2010-09-22","ids":{"openalex":"https://openalex.org/W2144538447","doi":"https://doi.org/10.37236/402","mag":"2144538447"},"language":"en","primary_location":{"id":"doi:10.37236/402","is_oa":true,"landing_page_url":"https://doi.org/10.37236/402","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v17i1r130/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v17i1r130/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103295275","display_name":"Benjamin R. Smith","orcid":null},"institutions":[{"id":"https://openalex.org/I165143802","display_name":"University of Queensland","ror":"https://ror.org/00rqy9422","country_code":"AU","type":"education","lineage":["https://openalex.org/I165143802"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Benjamin R. Smith","raw_affiliation_strings":["University of Queensland"],"affiliations":[{"raw_affiliation_string":"University of Queensland","institution_ids":["https://openalex.org/I165143802"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080083927","display_name":"Nicholas J. Cavenagh","orcid":"https://orcid.org/0000-0002-9151-3842"},"institutions":[{"id":"https://openalex.org/I52179390","display_name":"University of Waikato","ror":"https://ror.org/013fsnh78","country_code":"NZ","type":"education","lineage":["https://openalex.org/I52179390"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Nicholas J. Cavenagh","raw_affiliation_strings":["UNIVERSITY OF WAIKATO,"],"affiliations":[{"raw_affiliation_string":"UNIVERSITY OF WAIKATO,","institution_ids":["https://openalex.org/I52179390"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103295275"],"corresponding_institution_ids":["https://openalex.org/I165143802"],"apc_list":null,"apc_paid":null,"fwci":0.8823,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.7874923,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"17","issue":"1","first_page":null,"last_page":null},"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9955000281333923,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9919999837875366,"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":0.8605536222457886},{"id":"https://openalex.org/keywords/lexicographical-order","display_name":"Lexicographical order","score":0.8113526105880737},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7396283149719238},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5802384614944458},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5129792094230652},{"id":"https://openalex.org/keywords/complete-graph","display_name":"Complete graph","score":0.442293256521225},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38518765568733215},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06954267621040344}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8605536222457886},{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.8113526105880737},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7396283149719238},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5802384614944458},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5129792094230652},{"id":"https://openalex.org/C125080357","wikidata":"https://www.wikidata.org/wiki/Q45715","display_name":"Complete graph","level":3,"score":0.442293256521225},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38518765568733215},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06954267621040344}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.37236/402","is_oa":true,"landing_page_url":"https://doi.org/10.37236/402","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v17i1r130/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:espace.library.uq.edu.au:UQ:316423","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"},{"id":"pmh:oai:researchcommons.waikato.ac.nz:10289/4781","is_oa":false,"landing_page_url":"http://hdl.handle.net/10289/4781","pdf_url":null,"source":{"id":"https://openalex.org/S4306401979","display_name":"Research Commons (The University of Waikato)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I52179390","host_organization_name":"University of Waikato","host_organization_lineage":["https://openalex.org/I52179390"],"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:10.37236/402","is_oa":true,"landing_page_url":"https://doi.org/10.37236/402","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v17i1r130/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2144538447.pdf","grobid_xml":"https://content.openalex.org/works/W2144538447.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W135682529","https://openalex.org/W1541637185","https://openalex.org/W1963501983","https://openalex.org/W1989246136","https://openalex.org/W1990003137","https://openalex.org/W1992779658","https://openalex.org/W2013674716","https://openalex.org/W2030740204","https://openalex.org/W2033995287","https://openalex.org/W2045908445","https://openalex.org/W2068457180","https://openalex.org/W2132123693","https://openalex.org/W2564301804","https://openalex.org/W4231988724","https://openalex.org/W6600922036"],"related_works":["https://openalex.org/W4302354937","https://openalex.org/W4295991106","https://openalex.org/W2287003313","https://openalex.org/W3135985610","https://openalex.org/W3181624001","https://openalex.org/W3101000895","https://openalex.org/W3003396734","https://openalex.org/W2385671392","https://openalex.org/W1622824238","https://openalex.org/W1973150467"],"abstract_inverted_index":{"In":[0],"this":[1,34,45],"paper":[2],"we":[3],"examine":[4],"the":[5,9,37,65,68,77],"problem":[6,35],"of":[7,12,21,40,61,79],"decomposing":[8],"lexicographic":[10],"product":[11],"a":[13,31,55],"cycle":[14],"with":[15],"an":[16],"empty":[17],"graph":[18,58],"into":[19,59],"cycles":[20,38,60],"uniform":[22,62],"length.":[23,42],"We":[24,43],"determine":[25],"necessary":[26,49],"and":[27,50,73],"sufficient":[28,51],"conditions":[29,52],"for":[30],"solution":[32],"to":[33,47,53,76],"when":[36],"are":[39],"odd":[41,72],"apply":[44],"result":[46],"find":[48],"decompose":[54],"complete":[56],"equipartite":[57],"length,":[63],"in":[64],"case":[66],"that":[67],"length":[69],"is":[70],"both":[71],"short":[74],"relative":[75],"number":[78],"parts.":[80]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}