{"id":"https://openalex.org/W2027653655","doi":"https://doi.org/10.1016/s1571-0653(04)00112-x","title":"On Perfect Cayley Graphs","display_name":"On Perfect Cayley Graphs","publication_year":2002,"publication_date":"2002-07-01","ids":{"openalex":"https://openalex.org/W2027653655","doi":"https://doi.org/10.1016/s1571-0653(04)00112-x","mag":"2027653655"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0653(04)00112-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s1571-0653(04)00112-x","pdf_url":null,"source":{"id":"https://openalex.org/S902237881","display_name":"Electronic Notes in Discrete Mathematics","issn_l":"1571-0653","issn":["1571-0653"],"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":"Electronic Notes in 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/A5057632662","display_name":"Agnes V. Dizon-Garciano","orcid":null},"institutions":[{"id":"https://openalex.org/I19722","display_name":"Ateneo de Manila University","ror":"https://ror.org/053kevk63","country_code":"PH","type":"education","lineage":["https://openalex.org/I19722"]}],"countries":["PH"],"is_corresponding":false,"raw_author_name":"Agnes V. Dizon-Garciano","raw_affiliation_strings":["Department of Mathematics, Ateneo de Manila University, Loyola Heights, Quezon City, The Philippines"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ateneo de Manila University, Loyola Heights, Quezon City, The Philippines","institution_ids":["https://openalex.org/I19722"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015555809","display_name":"I. J. L. Garces","orcid":"https://orcid.org/0000-0002-3607-1439"},"institutions":[{"id":"https://openalex.org/I19722","display_name":"Ateneo de Manila University","ror":"https://ror.org/053kevk63","country_code":"PH","type":"education","lineage":["https://openalex.org/I19722"]}],"countries":["PH"],"is_corresponding":false,"raw_author_name":"Ian June L. Garces","raw_affiliation_strings":["Department of Mathematics, Ateneo de Manila University, Loyola Heights, Quezon City, The Philippines"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ateneo de Manila University, Loyola Heights, Quezon City, The Philippines","institution_ids":["https://openalex.org/I19722"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020253829","display_name":"Mari-Jo P. Ruiz","orcid":null},"institutions":[{"id":"https://openalex.org/I19722","display_name":"Ateneo de Manila University","ror":"https://ror.org/053kevk63","country_code":"PH","type":"education","lineage":["https://openalex.org/I19722"]}],"countries":["PH"],"is_corresponding":true,"raw_author_name":"Mari-Jo P. Ruiz","raw_affiliation_strings":["Department of Mathematics, Ateneo de Manila University, Loyola Heights, Quezon City, The Philippines"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ateneo de Manila University, Loyola Heights, Quezon City, The Philippines","institution_ids":["https://openalex.org/I19722"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020253829"],"corresponding_institution_ids":["https://openalex.org/I19722"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.13074624,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"11","issue":null,"first_page":"653","last_page":"680"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994000196456909,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9994000196456909,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9976999759674072,"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/combinatorics","display_name":"Combinatorics","score":0.8806146383285522},{"id":"https://openalex.org/keywords/cayley-graph","display_name":"Cayley graph","score":0.8288580775260925},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8050826787948608},{"id":"https://openalex.org/keywords/perfect-graph","display_name":"Perfect graph","score":0.7302575707435608},{"id":"https://openalex.org/keywords/perfect-graph-theorem","display_name":"Perfect graph theorem","score":0.5910599827766418},{"id":"https://openalex.org/keywords/vertex-transitive-graph","display_name":"Vertex-transitive graph","score":0.5867518186569214},{"id":"https://openalex.org/keywords/trivially-perfect-graph","display_name":"Trivially perfect graph","score":0.5325694680213928},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5323795676231384},{"id":"https://openalex.org/keywords/cayleys-theorem","display_name":"Cayley's theorem","score":0.46766602993011475},{"id":"https://openalex.org/keywords/degeneracy","display_name":"Degeneracy (biology)","score":0.4239596128463745},{"id":"https://openalex.org/keywords/graph-factorization","display_name":"Graph factorization","score":0.4215739369392395},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.4084129333496094},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.34119290113449097},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.28237879276275635},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.2537367343902588},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.1948513686656952},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.1932639181613922},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.17693322896957397}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8806146383285522},{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.8288580775260925},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8050826787948608},{"id":"https://openalex.org/C32972407","wikidata":"https://www.wikidata.org/wiki/Q1187620","display_name":"Perfect graph","level":5,"score":0.7302575707435608},{"id":"https://openalex.org/C161487630","wikidata":"https://www.wikidata.org/wiki/Q2800071","display_name":"Perfect graph theorem","level":5,"score":0.5910599827766418},{"id":"https://openalex.org/C113203676","wikidata":"https://www.wikidata.org/wiki/Q220997","display_name":"Vertex-transitive graph","level":5,"score":0.5867518186569214},{"id":"https://openalex.org/C170903109","wikidata":"https://www.wikidata.org/wiki/Q7844666","display_name":"Trivially perfect graph","level":5,"score":0.5325694680213928},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5323795676231384},{"id":"https://openalex.org/C4093544","wikidata":"https://www.wikidata.org/wiki/Q179208","display_name":"Cayley's theorem","level":5,"score":0.46766602993011475},{"id":"https://openalex.org/C2777727622","wikidata":"https://www.wikidata.org/wiki/Q5251772","display_name":"Degeneracy (biology)","level":2,"score":0.4239596128463745},{"id":"https://openalex.org/C128115575","wikidata":"https://www.wikidata.org/wiki/Q5597083","display_name":"Graph factorization","level":5,"score":0.4215739369392395},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.4084129333496094},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.34119290113449097},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.28237879276275635},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.2537367343902588},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.1948513686656952},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.1932639181613922},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.17693322896957397},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s1571-0653(04)00112-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s1571-0653(04)00112-x","pdf_url":null,"source":{"id":"https://openalex.org/S902237881","display_name":"Electronic Notes in Discrete Mathematics","issn_l":"1571-0653","issn":["1571-0653"],"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":"Electronic Notes in Discrete Mathematics","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":28,"referenced_works":["https://openalex.org/W603657711","https://openalex.org/W606453859","https://openalex.org/W1495288901","https://openalex.org/W1495591881","https://openalex.org/W1515707356","https://openalex.org/W1541044338","https://openalex.org/W1577216066","https://openalex.org/W1997998268","https://openalex.org/W2006530598","https://openalex.org/W2030014074","https://openalex.org/W2043889734","https://openalex.org/W2049480048","https://openalex.org/W2065306274","https://openalex.org/W2075256009","https://openalex.org/W2093266461","https://openalex.org/W2143327390","https://openalex.org/W2143474538","https://openalex.org/W2161792498","https://openalex.org/W2796976177","https://openalex.org/W4239873841","https://openalex.org/W4299866835","https://openalex.org/W4394792040","https://openalex.org/W6618422166","https://openalex.org/W6632327456","https://openalex.org/W6634382186","https://openalex.org/W6683854667","https://openalex.org/W6822367228","https://openalex.org/W6864505388"],"related_works":["https://openalex.org/W2356906936","https://openalex.org/W2105838663","https://openalex.org/W1555810828","https://openalex.org/W2006942360","https://openalex.org/W2047104722","https://openalex.org/W966310719","https://openalex.org/W3153161399","https://openalex.org/W2174595530","https://openalex.org/W1442730533","https://openalex.org/W2027653655"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}