{"id":"https://openalex.org/W1989546358","doi":"https://doi.org/10.1016/s0095-8956(03)00033-9","title":"Hamiltonian decompositions of Cayley graphs on abelian groups of even order","display_name":"Hamiltonian decompositions of Cayley graphs on abelian groups of even order","publication_year":2003,"publication_date":"2003-05-12","ids":{"openalex":"https://openalex.org/W1989546358","doi":"https://doi.org/10.1016/s0095-8956(03)00033-9","mag":"1989546358"},"language":"en","primary_location":{"id":"doi:10.1016/s0095-8956(03)00033-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0095-8956(03)00033-9","pdf_url":null,"source":{"id":"https://openalex.org/S2939117604","display_name":"Journal of Combinatorial Theory Series B","issn_l":"0095-8956","issn":["0095-8956","1096-0902"],"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":"Journal of Combinatorial Theory, Series B","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/A5021813387","display_name":"Jiuqiang Liu","orcid":"https://orcid.org/0000-0002-8107-3214"},"institutions":[{"id":"https://openalex.org/I138216421","display_name":"Eastern Michigan University","ror":"https://ror.org/02ehshm78","country_code":"US","type":"education","lineage":["https://openalex.org/I138216421"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jiuqiang Liu","raw_affiliation_strings":["Department of Mathematics, Eastern Michigan University, Ypsilanti, MI 48197, USA","Department of Mathematics, Eastern Michigan University, Ypsilanti, MI#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Eastern Michigan University, Ypsilanti, MI 48197, USA","institution_ids":["https://openalex.org/I138216421"]},{"raw_affiliation_string":"Department of Mathematics, Eastern Michigan University, Ypsilanti, MI#TAB#","institution_ids":["https://openalex.org/I138216421"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5021813387"],"corresponding_institution_ids":["https://openalex.org/I138216421"],"apc_list":{"value":3420,"currency":"USD","value_usd":3420},"apc_paid":null,"fwci":1.0576,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.76976903,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"88","issue":"2","first_page":"305","last_page":"321"},"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/T10849","display_name":"Finite Group Theory Research","score":0.9980000257492065,"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"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9923999905586243,"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/abelian-group","display_name":"Abelian group","score":0.8834130167961121},{"id":"https://openalex.org/keywords/cayley-graph","display_name":"Cayley graph","score":0.8401182889938354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.738974928855896},{"id":"https://openalex.org/keywords/generating-set-of-a-group","display_name":"Generating set of a group","score":0.727981686592102},{"id":"https://openalex.org/keywords/elementary-abelian-group","display_name":"Elementary abelian group","score":0.707442581653595},{"id":"https://openalex.org/keywords/g-module","display_name":"G-module","score":0.6429064273834229},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6214590072631836},{"id":"https://openalex.org/keywords/rank-of-an-abelian-group","display_name":"Rank of an abelian group","score":0.5908439755439758},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5818041563034058},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5146651864051819},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4708116948604584},{"id":"https://openalex.org/keywords/free-abelian-group","display_name":"Free abelian group","score":0.4597056806087494},{"id":"https://openalex.org/keywords/hamiltonian-path","display_name":"Hamiltonian path","score":0.4526110589504242},{"id":"https://openalex.org/keywords/cyclic-group","display_name":"Cyclic group","score":0.43767186999320984},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.40392225980758667},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38974475860595703},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3571702241897583},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07000124454498291}],"concepts":[{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.8834130167961121},{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.8401182889938354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.738974928855896},{"id":"https://openalex.org/C18116961","wikidata":"https://www.wikidata.org/wiki/Q734209","display_name":"Generating set of a group","level":2,"score":0.727981686592102},{"id":"https://openalex.org/C81008192","wikidata":"https://www.wikidata.org/wiki/Q1017231","display_name":"Elementary abelian group","level":3,"score":0.707442581653595},{"id":"https://openalex.org/C163572010","wikidata":"https://www.wikidata.org/wiki/Q2912125","display_name":"G-module","level":4,"score":0.6429064273834229},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6214590072631836},{"id":"https://openalex.org/C200681373","wikidata":"https://www.wikidata.org/wiki/Q1260803","display_name":"Rank of an abelian group","level":4,"score":0.5908439755439758},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5818041563034058},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5146651864051819},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4708116948604584},{"id":"https://openalex.org/C197623797","wikidata":"https://www.wikidata.org/wiki/Q1454111","display_name":"Free abelian group","level":5,"score":0.4597056806087494},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.4526110589504242},{"id":"https://openalex.org/C20725272","wikidata":"https://www.wikidata.org/wiki/Q245462","display_name":"Cyclic group","level":3,"score":0.43767186999320984},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.40392225980758667},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38974475860595703},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3571702241897583},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07000124454498291},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0095-8956(03)00033-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0095-8956(03)00033-9","pdf_url":null,"source":{"id":"https://openalex.org/S2939117604","display_name":"Journal of Combinatorial Theory Series B","issn_l":"0095-8956","issn":["0095-8956","1096-0902"],"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":"Journal of Combinatorial Theory, Series B","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":14,"referenced_works":["https://openalex.org/W433083327","https://openalex.org/W1510478584","https://openalex.org/W2034790990","https://openalex.org/W2040269236","https://openalex.org/W2041888647","https://openalex.org/W2042747061","https://openalex.org/W2068129195","https://openalex.org/W2089852595","https://openalex.org/W2160642345","https://openalex.org/W2207765016","https://openalex.org/W2796976177","https://openalex.org/W4210521673","https://openalex.org/W4212896073","https://openalex.org/W6683605921"],"related_works":["https://openalex.org/W2917437667","https://openalex.org/W1999189963","https://openalex.org/W2009465652","https://openalex.org/W2375875135","https://openalex.org/W2318047582","https://openalex.org/W1989546358","https://openalex.org/W2023557981","https://openalex.org/W2031871449","https://openalex.org/W2070845140","https://openalex.org/W2083158840"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}