{"id":"https://openalex.org/W4292291564","doi":"https://doi.org/10.1142/s1793830922501361","title":"Order two element graph over a group","display_name":"Order two element graph over a group","publication_year":2022,"publication_date":"2022-08-17","ids":{"openalex":"https://openalex.org/W4292291564","doi":"https://doi.org/10.1142/s1793830922501361"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830922501361","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830922501361","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/A5042547244","display_name":"Soumen Pradhan","orcid":"https://orcid.org/0000-0002-2208-2209"},"institutions":[{"id":"https://openalex.org/I4210136550","display_name":"Murshidabad Medical College and Hospital","ror":"https://ror.org/03tsk0927","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210136550"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. Pradhan","raw_affiliation_strings":["Department of Mathematics, Nagar College, Murshidabad 742159, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nagar College, Murshidabad 742159, India","institution_ids":["https://openalex.org/I4210136550"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019043807","display_name":"S. Kar","orcid":"https://orcid.org/0000-0002-3955-9464"},"institutions":[{"id":"https://openalex.org/I170979836","display_name":"Jadavpur University","ror":"https://ror.org/02af4h012","country_code":"IN","type":"education","lineage":["https://openalex.org/I170979836"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"S. Kar","raw_affiliation_strings":["Department of Mathematics, Jadavpur University, Kolkata 700032, India"],"raw_orcid":"https://orcid.org/0000-0002-3955-9464","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Jadavpur University, Kolkata 700032, India","institution_ids":["https://openalex.org/I170979836"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014288425","display_name":"B. Biswas","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"B. Biswas","raw_affiliation_strings":["Department of Science and Humanities, Ranaghat Government Polytechnic, Nadia 741201, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Science and Humanities, Ranaghat Government Polytechnic, Nadia 741201, India","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019043807"],"corresponding_institution_ids":["https://openalex.org/I170979836"],"apc_list":null,"apc_paid":null,"fwci":0.5682,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60532605,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"15","issue":"06","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":0.9995999932289124,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9980000257492065,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9812999963760376,"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/combinatorics","display_name":"Combinatorics","score":0.737994909286499},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6138979196548462},{"id":"https://openalex.org/keywords/dihedral-group","display_name":"Dihedral group","score":0.5412788391113281},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.4594195485115051},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.45765578746795654},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4543955624103546},{"id":"https://openalex.org/keywords/distance-regular-graph","display_name":"Distance-regular graph","score":0.4527178704738617},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44689518213272095},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.2888054847717285},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.2785656452178955},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10786238312721252}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.737994909286499},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6138979196548462},{"id":"https://openalex.org/C72409365","wikidata":"https://www.wikidata.org/wiki/Q558339","display_name":"Dihedral group","level":3,"score":0.5412788391113281},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.4594195485115051},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.45765578746795654},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4543955624103546},{"id":"https://openalex.org/C56783289","wikidata":"https://www.wikidata.org/wiki/Q3115556","display_name":"Distance-regular graph","level":5,"score":0.4527178704738617},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44689518213272095},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.2888054847717285},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.2785656452178955},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10786238312721252},{"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/s1793830922501361","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830922501361","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":7,"referenced_works":["https://openalex.org/W415832010","https://openalex.org/W1987023204","https://openalex.org/W2023913182","https://openalex.org/W2224521589","https://openalex.org/W2916612041","https://openalex.org/W3175994972","https://openalex.org/W4230659860"],"related_works":["https://openalex.org/W4213419526","https://openalex.org/W2954009223","https://openalex.org/W3170778148","https://openalex.org/W2911324983","https://openalex.org/W4298172984","https://openalex.org/W3110704126","https://openalex.org/W2617444397","https://openalex.org/W2103478523","https://openalex.org/W3193236920","https://openalex.org/W4366828432"],"abstract_inverted_index":{"The":[0],"order":[1,150,157],"two":[2,28,158],"element":[3,51,159],"graph":[4,15,59,78,91,160],"of":[5,20,23,52,89,137,146,149],"a":[6,144],"group":[7,107,113],"[Formula:":[8,24,31,41,45,53,61,72,79,92,99,108,114,121,151],"see":[9,25,32,42,46,54,62,73,80,93,100,109,115,122,152],"text]":[10,26,33,47,74,81,94,116,123,153],"is":[11,48,82],"the":[12,49,77,87,90,105,111,131,138],"simple":[13],"undirected":[14],"whose":[16],"vertex":[17],"set":[18],"consists":[19],"all":[21],"elements":[22],"and":[27,37,124,133],"distinct":[29],"vertices":[30],"are":[34],"adjacent":[35],"if":[36,39],"only":[38],"either":[40],"text],":[43,110],"where":[44],"identity":[50],"text].":[55,63,101],"We":[56,84],"denote":[57],"this":[58,65],"by":[60],"In":[64],"paper,":[66],"we":[67,103,128,142],"identify":[68],"those":[69],"commutative":[70],"groups":[71,148],"for":[75,95,117,125],"which":[76],"connected.":[83],"also":[85],"characterize":[86],"structures":[88],"any":[96,118],"positive":[97,119],"integer":[98,120],"Moreover,":[102],"consider":[104],"symmetric":[106],"dihedral":[112],"these":[126],"groups,":[127],"look":[129],"into":[130],"structure":[132],"other":[134],"graph-theoretic":[135],"properties":[136],"corresponding":[139,156],"graphs.":[140],"Finally,":[141],"give":[143],"list":[145],"finite":[147],"with":[154],"their":[155],"structures.":[161]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}