{"id":"https://openalex.org/W2901715074","doi":"https://doi.org/10.1142/s179383091950006x","title":"On the non-cyclic graph of a group","display_name":"On the non-cyclic graph of a group","publication_year":2018,"publication_date":"2018-11-13","ids":{"openalex":"https://openalex.org/W2901715074","doi":"https://doi.org/10.1142/s179383091950006x","mag":"2901715074"},"language":"en","primary_location":{"id":"doi:10.1142/s179383091950006x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179383091950006x","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5086728315","display_name":"Ebrahim Vatandoost","orcid":"https://orcid.org/0000-0001-5883-7776"},"institutions":[{"id":"https://openalex.org/I69425150","display_name":"Imam Khomeini International University","ror":"https://ror.org/02jeykk09","country_code":"IR","type":"education","lineage":["https://openalex.org/I69425150"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"E. Vatandoost","raw_affiliation_strings":["Department of Mathematics, Faculty of Sciences, Imam Khomeini International University, Qazvin, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences, Imam Khomeini International University, Qazvin, Iran","institution_ids":["https://openalex.org/I69425150"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049541578","display_name":"Yasser Golkhandypour","orcid":null},"institutions":[{"id":"https://openalex.org/I69425150","display_name":"Imam Khomeini International University","ror":"https://ror.org/02jeykk09","country_code":"IR","type":"education","lineage":["https://openalex.org/I69425150"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Y. Golkhandypour","raw_affiliation_strings":["Department of Mathematics, Faculty of Sciences, Imam Khomeini International University, Qazvin, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences, Imam Khomeini International University, Qazvin, Iran","institution_ids":["https://openalex.org/I69425150"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5086728315"],"corresponding_institution_ids":["https://openalex.org/I69425150"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.27614649,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"01","first_page":"1950006","last_page":"1950006"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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":0.6312613487243652},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6013436913490295},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48379582166671753},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4684472382068634},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4380251467227936},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4329821467399597},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1553722321987152}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6312613487243652},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6013436913490295},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48379582166671753},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4684472382068634},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4380251467227936},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4329821467399597},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1553722321987152},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s179383091950006x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179383091950006x","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1493071618","https://openalex.org/W1566493102","https://openalex.org/W2044521543","https://openalex.org/W2048025378","https://openalex.org/W2092329056","https://openalex.org/W2325885684","https://openalex.org/W2964126713","https://openalex.org/W4247549312"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W1991411408","https://openalex.org/W4288278856","https://openalex.org/W2572370460"],"abstract_inverted_index":{"Here":[0],"we":[1,12],"study":[2],"some":[3],"algebraic":[4],"properties":[5],"of":[6,50],"non-cyclic":[7],"graphs.":[8],"In":[9],"this":[10],"paper,":[11],"show":[13],"that":[14],"[Formula:":[15,21,25,32,38,42,52,56,61,65],"see":[16,22,26,33,39,43,53,57,62,66],"text]":[17,23,27,34,40,54,58],"is":[18,35],"isomorphic":[19,36],"to":[20,37],"or":[24,41],"if":[28,31],"and":[29],"only":[30],"text],":[44,63],"respectively.":[45],"We":[46],"characterize":[47],"all":[48],"groups":[49],"order":[51],"like":[55],"in":[59],"which":[60],"where":[64],"text].":[67]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}