{"id":"https://openalex.org/W2962757654","doi":"https://doi.org/10.37236/5063","title":"Abelian Cayley Digraphs with Asymptotically Large Order for Any Given Degree","display_name":"Abelian Cayley Digraphs with Asymptotically Large Order for Any Given Degree","publication_year":2016,"publication_date":"2016-04-29","ids":{"openalex":"https://openalex.org/W2962757654","doi":"https://doi.org/10.37236/5063","mag":"2962757654"},"language":"en","primary_location":{"id":"doi:10.37236/5063","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5063","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v23i2p19/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/v23i2p19/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043672512","display_name":"F. Aguil\u00f3-Gost","orcid":"https://orcid.org/0000-0003-1572-8486"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Francesc Aguil\u00f3","raw_affiliation_strings":["Universitat Polit\u00e8cnica de Catalunya"],"affiliations":[{"raw_affiliation_string":"Universitat Polit\u00e8cnica de Catalunya","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078943135","display_name":"M.A. Fiol","orcid":"https://orcid.org/0000-0003-1337-4952"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Miquel \u00c0ngel Fiol","raw_affiliation_strings":["Universitat Polit\u00e8cnica de Catalunya"],"affiliations":[{"raw_affiliation_string":"Universitat Polit\u00e8cnica de Catalunya","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004759746","display_name":"Sonia P\u00e9rez","orcid":null},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Sonia P\u00e9rez","raw_affiliation_strings":["Universitat Polit\u00e8cnica de Catalunya"],"affiliations":[{"raw_affiliation_string":"Universitat Polit\u00e8cnica de Catalunya","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043672512"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":null,"apc_paid":null,"fwci":1.5981,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.83040176,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"23","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9997000098228455,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9991999864578247,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.860316812992096},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.7553364038467407},{"id":"https://openalex.org/keywords/cayley-graph","display_name":"Cayley graph","score":0.7414555549621582},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7104954719543457},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.6190662980079651},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6160566806793213},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.581874430179596},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5411249399185181},{"id":"https://openalex.org/keywords/cayleys-theorem","display_name":"Cayley's theorem","score":0.5251476764678955},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4664549231529236},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.25440114736557007},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.058067142963409424},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.04857274889945984},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.04743620753288269},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.0469205379486084}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.860316812992096},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.7553364038467407},{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.7414555549621582},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7104954719543457},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6190662980079651},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6160566806793213},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.581874430179596},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5411249399185181},{"id":"https://openalex.org/C4093544","wikidata":"https://www.wikidata.org/wiki/Q179208","display_name":"Cayley's theorem","level":5,"score":0.5251476764678955},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4664549231529236},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.25440114736557007},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.058067142963409424},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.04857274889945984},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.04743620753288269},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0469205379486084},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/5063","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5063","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v23i2p19/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/5063","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5063","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v23i2p19/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G225255433","display_name":null,"funder_award_id":"MTM2011-28800-C02-01","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"}],"funders":[{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2962757654.pdf","grobid_xml":"https://content.openalex.org/works/W2962757654.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1899309126","https://openalex.org/W1972875764","https://openalex.org/W1995782387","https://openalex.org/W2002956914","https://openalex.org/W2008088669","https://openalex.org/W2020635336","https://openalex.org/W2022995666","https://openalex.org/W2055393442","https://openalex.org/W2065176654","https://openalex.org/W2073710637","https://openalex.org/W2084066114","https://openalex.org/W2094613978","https://openalex.org/W2167990241","https://openalex.org/W2951098997","https://openalex.org/W3098117359","https://openalex.org/W6652227434"],"related_works":["https://openalex.org/W1986484118","https://openalex.org/W3139700519","https://openalex.org/W2075255168","https://openalex.org/W4212957300","https://openalex.org/W4226275486","https://openalex.org/W1968298352","https://openalex.org/W1975267010","https://openalex.org/W2104330799","https://openalex.org/W2015269576","https://openalex.org/W4294586788"],"abstract_inverted_index":{"Abelian":[0],"Cayley":[1],"digraphs":[2],"can":[3],"be":[4],"constructed":[5],"by":[6],"using":[7],"a":[8,26],"generalization":[9],"to":[10,24,50],"$\\mathbb{Z}^n$":[11],"of":[12,15,28,36,43],"the":[13,37,46,52],"concept":[14],"congruence":[16],"in":[17],"$\\mathbb{Z}$.":[18],"Here":[19],"we":[20],"use":[21],"this":[22],"approach":[23],"present":[25],"family":[27],"such":[29],"digraphs,":[30],"which,":[31],"for":[32],"every":[33],"fixed":[34],"value":[35],"degree,":[38],"have":[39],"asymptotically":[40],"large":[41,55],"number":[42],"vertices":[44],"as":[45],"diameter":[47],"increases.":[48],"Up":[49],"now,":[51],"best":[53],"known":[54],"dense":[56],"results":[57],"were":[58],"all":[59],"non-constructive.":[60]},"counts_by_year":[{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}