{"id":"https://openalex.org/W2041888647","doi":"https://doi.org/10.1016/0095-8956(89)90040-3","title":"Hamiltonian decomposition of Cayley graphs of degree 4","display_name":"Hamiltonian decomposition of Cayley graphs of degree 4","publication_year":1989,"publication_date":"1989-04-01","ids":{"openalex":"https://openalex.org/W2041888647","doi":"https://doi.org/10.1016/0095-8956(89)90040-3","mag":"2041888647"},"language":"en","primary_location":{"id":"doi:10.1016/0095-8956(89)90040-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0095-8956(89)90040-3","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":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-02500476v1/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113620928","display_name":"J.-C. Bermond","orcid":null},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210144804","display_name":"Laboratoire de Recherche en Informatique","ror":"https://ror.org/04e3ktk27","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210144804","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"J.-C Bermond","raw_affiliation_strings":["LRI UA 410 du CNRS, B\u00e2t 490, Universit\u00e9 Paris-Sud, 91405 Orsay-Cedex, France","Universit\u00e9 Paris-Sud, Orsay-Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LRI UA 410 du CNRS, B\u00e2t 490, Universit\u00e9 Paris-Sud, 91405 Orsay-Cedex, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I4210144804"]},{"raw_affiliation_string":"Universit\u00e9 Paris-Sud, Orsay-Cedex, France","institution_ids":["https://openalex.org/I102197404"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028264814","display_name":"Odile Favaron","orcid":null},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210144804","display_name":"Laboratoire de Recherche en Informatique","ror":"https://ror.org/04e3ktk27","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210144804","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"O Favaron","raw_affiliation_strings":["LRI UA 410 du CNRS, B\u00e2t 490, Universit\u00e9 Paris-Sud, 91405 Orsay-Cedex, France","Universit\u00e9 Paris-Sud, Orsay-Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LRI UA 410 du CNRS, B\u00e2t 490, Universit\u00e9 Paris-Sud, 91405 Orsay-Cedex, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I4210144804"]},{"raw_affiliation_string":"Universit\u00e9 Paris-Sud, Orsay-Cedex, France","institution_ids":["https://openalex.org/I102197404"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062342168","display_name":"Maryvonne Mah\u00e9o","orcid":null},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210144804","display_name":"Laboratoire de Recherche en Informatique","ror":"https://ror.org/04e3ktk27","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210144804","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M Maheo","raw_affiliation_strings":["LRI UA 410 du CNRS, B\u00e2t 490, Universit\u00e9 Paris-Sud, 91405 Orsay-Cedex, France","Universit\u00e9 Paris-Sud, Orsay-Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LRI UA 410 du CNRS, B\u00e2t 490, Universit\u00e9 Paris-Sud, 91405 Orsay-Cedex, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I4210144804"]},{"raw_affiliation_string":"Universit\u00e9 Paris-Sud, Orsay-Cedex, France","institution_ids":["https://openalex.org/I102197404"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5113620928"],"corresponding_institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I4210144804"],"apc_list":{"value":3420,"currency":"USD","value_usd":3420},"apc_paid":null,"fwci":3.4873,"has_fulltext":false,"cited_by_count":132,"citation_normalized_percentile":{"value":0.91968798,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"46","issue":"2","first_page":"142","last_page":"153"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9965999722480774,"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"}},{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9908999800682068,"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/cayley-graph","display_name":"Cayley graph","score":0.8225263357162476},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7431837916374207},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.6629198789596558},{"id":"https://openalex.org/keywords/cayley-transform","display_name":"Cayley transform","score":0.6600553393363953},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6117813587188721},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5387059450149536},{"id":"https://openalex.org/keywords/circulant-matrix","display_name":"Circulant matrix","score":0.5150827765464783},{"id":"https://openalex.org/keywords/vertex-transitive-graph","display_name":"Vertex-transitive graph","score":0.4895080327987671},{"id":"https://openalex.org/keywords/hamiltonian-path","display_name":"Hamiltonian path","score":0.4690549671649933},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.4531824588775635},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.43697136640548706},{"id":"https://openalex.org/keywords/cayleys-theorem","display_name":"Cayley's theorem","score":0.41511186957359314},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.41443777084350586},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37055009603500366},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.33847081661224365},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33043238520622253},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.1630171239376068},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.14663070440292358}],"concepts":[{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.8225263357162476},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7431837916374207},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.6629198789596558},{"id":"https://openalex.org/C18586221","wikidata":"https://www.wikidata.org/wiki/Q2778065","display_name":"Cayley transform","level":5,"score":0.6600553393363953},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6117813587188721},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5387059450149536},{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.5150827765464783},{"id":"https://openalex.org/C113203676","wikidata":"https://www.wikidata.org/wiki/Q220997","display_name":"Vertex-transitive graph","level":5,"score":0.4895080327987671},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.4690549671649933},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.4531824588775635},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.43697136640548706},{"id":"https://openalex.org/C4093544","wikidata":"https://www.wikidata.org/wiki/Q179208","display_name":"Cayley's theorem","level":5,"score":0.41511186957359314},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.41443777084350586},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37055009603500366},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.33847081661224365},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33043238520622253},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.1630171239376068},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.14663070440292358},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/0095-8956(89)90040-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0095-8956(89)90040-3","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"},{"id":"pmh:oai:HAL:hal-02500476v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-02500476","pdf_url":"https://inria.hal.science/hal-02500476v1/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Combinatorial Theory, Series B, 1989, 46 (2), pp.142-153. &#x27E8;10.1016/0095-8956(89)90040-3&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02500476v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-02500476","pdf_url":"https://inria.hal.science/hal-02500476v1/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Combinatorial Theory, Series B, 1989, 46 (2), pp.142-153. &#x27E8;10.1016/0095-8956(89)90040-3&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2041888647.pdf"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W2034790990","https://openalex.org/W2044467672","https://openalex.org/W2051905148","https://openalex.org/W2068129195","https://openalex.org/W2093524567","https://openalex.org/W2116418681","https://openalex.org/W6663283840","https://openalex.org/W6673847504"],"related_works":["https://openalex.org/W1968298352","https://openalex.org/W4213105785","https://openalex.org/W4294586788","https://openalex.org/W4212957300","https://openalex.org/W4226275486","https://openalex.org/W4298173932","https://openalex.org/W2898326650","https://openalex.org/W2963188491","https://openalex.org/W2973798923","https://openalex.org/W2927692271"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":7}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}
