{"id":"https://openalex.org/W2586161026","doi":"https://doi.org/10.1007/s00493-016-3403-0","title":"Automorphism Groups of Circulant Digraphs With Applications to Semigroup Theory","display_name":"Automorphism Groups of Circulant Digraphs With Applications to Semigroup Theory","publication_year":2017,"publication_date":"2017-02-13","ids":{"openalex":"https://openalex.org/W2586161026","doi":"https://doi.org/10.1007/s00493-016-3403-0","mag":"2586161026"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-016-3403-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-016-3403-0","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hull-repository.worktribe.com/output/412492","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031014269","display_name":"Jo\u00e3o Ara\u00fcjo","orcid":"https://orcid.org/0000-0001-6655-2172"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]},{"id":"https://openalex.org/I201025148","display_name":"Universidade Aberta","ror":"https://ror.org/02rv3w387","country_code":"PT","type":"education","lineage":["https://openalex.org/I201025148"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Jo\u00e3o Ara\u00fajo","raw_affiliation_strings":["Universidade Aberta and CEMAT-Ci\u00eancias Faculdade de Ci\u00eancias, Universidade de Lisboa, 1749-016, Lisboa, Portugal"],"affiliations":[{"raw_affiliation_string":"Universidade Aberta and CEMAT-Ci\u00eancias Faculdade de Ci\u00eancias, Universidade de Lisboa, 1749-016, Lisboa, Portugal","institution_ids":["https://openalex.org/I201025148","https://openalex.org/I141596103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006506224","display_name":"Wolfram Bentz","orcid":"https://orcid.org/0000-0003-0002-1277"},"institutions":[{"id":"https://openalex.org/I191240316","display_name":"University of Hull","ror":"https://ror.org/04nkhwh30","country_code":"GB","type":"education","lineage":["https://openalex.org/I191240316"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Wolfram Bentz","raw_affiliation_strings":["School of Mathematics and Physical Sciences, University of Hull, Kingston upon Hull, HU6 7RX, UK"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physical Sciences, University of Hull, Kingston upon Hull, HU6 7RX, UK","institution_ids":["https://openalex.org/I191240316"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054526171","display_name":"Edward Dobson","orcid":null},"institutions":[{"id":"https://openalex.org/I99041443","display_name":"Mississippi State University","ror":"https://ror.org/0432jq872","country_code":"US","type":"education","lineage":["https://openalex.org/I4210141039","https://openalex.org/I99041443"]},{"id":"https://openalex.org/I118905719","display_name":"University of Primorska","ror":"https://ror.org/05xefg082","country_code":"SI","type":"education","lineage":["https://openalex.org/I118905719"]}],"countries":["SI","US"],"is_corresponding":false,"raw_author_name":"Edward Dobson","raw_affiliation_strings":["Department of Mathematics and Statistics, Mississippi State University PO Drawer MA, Mississippi State, MS, 39762, USA","IAM, University of Primorska, Koper, 6000, Slovenia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Mississippi State University PO Drawer MA, Mississippi State, MS, 39762, USA","institution_ids":["https://openalex.org/I99041443"]},{"raw_affiliation_string":"IAM, University of Primorska, Koper, 6000, Slovenia","institution_ids":["https://openalex.org/I118905719"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034265558","display_name":"Janusz Konieczny","orcid":"https://orcid.org/0000-0002-8254-1489"},"institutions":[{"id":"https://openalex.org/I191484440","display_name":"University of Mary Washington","ror":"https://ror.org/03b48gv34","country_code":"US","type":"education","lineage":["https://openalex.org/I191484440"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Janusz Konieczny","raw_affiliation_strings":["Department of Mathematics, University of Mary Washington, Fredericksburg, VA, 22408, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Mary Washington, Fredericksburg, VA, 22408, USA","institution_ids":["https://openalex.org/I191484440"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009892196","display_name":"Joy Morris","orcid":"https://orcid.org/0000-0003-2416-669X"},"institutions":[{"id":"https://openalex.org/I107949126","display_name":"University of Lethbridge","ror":"https://ror.org/044j76961","country_code":"CA","type":"education","lineage":["https://openalex.org/I107949126"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Joy Morris","raw_affiliation_strings":["Department of Math and CS, University of Lethbridge, Lethbridge, AB, T1K 3M4, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Math and CS, University of Lethbridge, Lethbridge, AB, T1K 3M4, Canada","institution_ids":["https://openalex.org/I107949126"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5006506224"],"corresponding_institution_ids":["https://openalex.org/I191240316"],"apc_list":null,"apc_paid":null,"fwci":2.5577,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.88289206,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"38","issue":"1","first_page":"1","last_page":"28"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9995999932289124,"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/T11567","display_name":"semigroups and automata theory","score":0.9987000226974487,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.994700014591217,"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/mathematics","display_name":"Mathematics","score":0.9147605895996094},{"id":"https://openalex.org/keywords/endomorphism","display_name":"Endomorphism","score":0.8706804513931274},{"id":"https://openalex.org/keywords/circulant-matrix","display_name":"Circulant matrix","score":0.8567687273025513},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.8472338318824768},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6401537656784058},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.5313373804092407},{"id":"https://openalex.org/keywords/automorphism-group","display_name":"Automorphism group","score":0.5264098048210144},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5060622096061707},{"id":"https://openalex.org/keywords/circulant-graph","display_name":"Circulant graph","score":0.49571359157562256},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4202438294887543},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3130287528038025},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.12276002764701843},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.08640775084495544}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9147605895996094},{"id":"https://openalex.org/C116858840","wikidata":"https://www.wikidata.org/wiki/Q1340800","display_name":"Endomorphism","level":2,"score":0.8706804513931274},{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.8567687273025513},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.8472338318824768},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6401537656784058},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.5313373804092407},{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.5264098048210144},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5060622096061707},{"id":"https://openalex.org/C82190004","wikidata":"https://www.wikidata.org/wiki/Q5121633","display_name":"Circulant graph","level":5,"score":0.49571359157562256},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4202438294887543},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3130287528038025},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.12276002764701843},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.08640775084495544},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00493-016-3403-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-016-3403-0","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","raw_type":"journal-article"},{"id":"pmh:oai:hull-repository.worktribe.com:412492","is_oa":true,"landing_page_url":"https://hull-repository.worktribe.com/file/412492/1/Article","pdf_url":"https://hull-repository.worktribe.com/output/412492","source":{"id":"https://openalex.org/S4306400827","display_name":"Repository@Hull (Worktribe) (University of Hull)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I191240316","host_organization_name":"University of Hull","host_organization_lineage":["https://openalex.org/I191240316"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:hull-repository.worktribe.com:412492","is_oa":true,"landing_page_url":"https://hull-repository.worktribe.com/file/412492/1/Article","pdf_url":"https://hull-repository.worktribe.com/output/412492","source":{"id":"https://openalex.org/S4306400827","display_name":"Repository@Hull (Worktribe) (University of Hull)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I191240316","host_organization_name":"University of Hull","host_organization_lineage":["https://openalex.org/I191240316"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2586161026.pdf"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W604130584","https://openalex.org/W624638370","https://openalex.org/W659048256","https://openalex.org/W781937223","https://openalex.org/W1602242459","https://openalex.org/W1968058770","https://openalex.org/W1973952226","https://openalex.org/W1974308319","https://openalex.org/W1975836735","https://openalex.org/W1981316710","https://openalex.org/W1990686507","https://openalex.org/W1994208868","https://openalex.org/W2008667980","https://openalex.org/W2012859030","https://openalex.org/W2013214750","https://openalex.org/W2020671052","https://openalex.org/W2024356530","https://openalex.org/W2029468329","https://openalex.org/W2032791895","https://openalex.org/W2048829195","https://openalex.org/W2066190202","https://openalex.org/W2074830712","https://openalex.org/W2076582284","https://openalex.org/W2094589803","https://openalex.org/W2095326676","https://openalex.org/W2098684733","https://openalex.org/W2099526591","https://openalex.org/W2113717169","https://openalex.org/W2117862969","https://openalex.org/W2125732536","https://openalex.org/W2133973319","https://openalex.org/W2141456319","https://openalex.org/W2144900670","https://openalex.org/W2149335154","https://openalex.org/W2149397526","https://openalex.org/W2157741016","https://openalex.org/W2161108572","https://openalex.org/W2162635754","https://openalex.org/W2166123687","https://openalex.org/W2166387398","https://openalex.org/W2798943694","https://openalex.org/W4234295943","https://openalex.org/W6622107678"],"related_works":["https://openalex.org/W4228997342","https://openalex.org/W2277113715","https://openalex.org/W2087297501","https://openalex.org/W2082158543","https://openalex.org/W4378765291","https://openalex.org/W2349424204","https://openalex.org/W1977191344","https://openalex.org/W2962912586","https://openalex.org/W2116405749","https://openalex.org/W2098684733"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}