{"id":"https://openalex.org/W2788669642","doi":"https://doi.org/10.37236/6541","title":"Some New Groups which are not CI-groups with Respect to Graphs","display_name":"Some New Groups which are not CI-groups with Respect to Graphs","publication_year":2018,"publication_date":"2018-01-25","ids":{"openalex":"https://openalex.org/W2788669642","doi":"https://doi.org/10.37236/6541","mag":"2788669642"},"language":"en","primary_location":{"id":"doi:10.37236/6541","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6541","pdf_url":null,"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://doi.org/10.37236/6541","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045745266","display_name":"Ted 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"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ted Dobson","raw_affiliation_strings":["Mississippi State University and the University of Primorska"],"affiliations":[{"raw_affiliation_string":"Mississippi State University and the University of Primorska","institution_ids":["https://openalex.org/I99041443"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5045745266"],"corresponding_institution_ids":["https://openalex.org/I99041443"],"apc_list":null,"apc_paid":null,"fwci":3.7651,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.92906631,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"25","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.994700014591217,"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":0.994700014591217,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9580000042915344,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8799542188644409},{"id":"https://openalex.org/keywords/dihedral-group","display_name":"Dihedral group","score":0.86855548620224},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8312777876853943},{"id":"https://openalex.org/keywords/cayley-graph","display_name":"Cayley graph","score":0.6429661512374878},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5563948750495911},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5469595789909363},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5176363587379456},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.4889344274997711},{"id":"https://openalex.org/keywords/automorphism-group","display_name":"Automorphism group","score":0.45864468812942505},{"id":"https://openalex.org/keywords/p-group","display_name":"p-group","score":0.4543435573577881},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4016623795032501},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.1773591935634613},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.055279672145843506}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8799542188644409},{"id":"https://openalex.org/C72409365","wikidata":"https://www.wikidata.org/wiki/Q558339","display_name":"Dihedral group","level":3,"score":0.86855548620224},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8312777876853943},{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.6429661512374878},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5563948750495911},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5469595789909363},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5176363587379456},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.4889344274997711},{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.45864468812942505},{"id":"https://openalex.org/C160826032","wikidata":"https://www.wikidata.org/wiki/Q286972","display_name":"p-group","level":3,"score":0.4543435573577881},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4016623795032501},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.1773591935634613},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.055279672145843506},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/6541","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6541","pdf_url":null,"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"},{"id":"pmh:oai:repozitorij.upr.si:IzpisGradiva.php?id=9478","is_oa":true,"landing_page_url":"https://repozitorij.upr.si/IzpisGradiva.php?id=9478","pdf_url":null,"source":{"id":"https://openalex.org/S4377196486","display_name":"Repository of the University of Primorsk (University of Primorska)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118905719","host_organization_name":"University of Primorska","host_organization_lineage":["https://openalex.org/I118905719"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ISSN: 1077-8926","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.37236/6541","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6541","pdf_url":null,"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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4362737391","https://openalex.org/W2378553828","https://openalex.org/W3086562803","https://openalex.org/W4385644469","https://openalex.org/W2783209638","https://openalex.org/W2378449445","https://openalex.org/W4388716440","https://openalex.org/W2417716728","https://openalex.org/W2034237454","https://openalex.org/W1970066599"],"abstract_inverted_index":{"A":[0],"group":[1,27,66,75],"$G$":[2,15],"is":[3,52,57,63,72],"a":[4,26],"CI-group":[5],"with":[6,46],"respect":[7,47],"to":[8,48,60],"graphs":[9,13],"if":[10,18,21],"two":[11],"Cayley":[12],"of":[14,29,37,67,76],"are":[16,23,43],"isomorphic":[17,24],"and":[19,70],"only":[20],"they":[22],"by":[25],"automorphism":[28],"$G$.":[30],"We":[31],"show":[32],"that":[33],"an":[34],"infinite":[35],"family":[36],"groups":[38],"which":[39],"include":[40],"$D_n\\times":[41],"F_{3p}$":[42],"not":[44],"CI-groups":[45],"graphs,":[49],"where":[50],"$p$":[51],"prime,":[53],"$n\\not":[54],"=":[55],"10$":[56],"relatively":[58],"prime":[59],"$3p$,":[61],"$D_n$":[62],"the":[64,73],"dihedral":[65],"order":[68,77],"$n$,":[69],"$F_{3p}$":[71],"nonabelian":[74],"$3p$.":[78]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
