{"id":"https://openalex.org/W4320164366","doi":"https://doi.org/10.58250/jnanabha.2020.50101","title":"ENERGY OF SOME GRAPHS OF PRIME GRAPH OF A RING","display_name":"ENERGY OF SOME GRAPHS OF PRIME GRAPH OF A RING","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W4320164366","doi":"https://doi.org/10.58250/jnanabha.2020.50101"},"language":"en","primary_location":{"id":"doi:10.58250/jnanabha.2020.50101","doi":"https://doi.org/10.58250/jnanabha.2020.50101","is_oa":true,"landing_page_url":"http://dx.doi.org/10.58250/jnanabha.2020.50101","pdf_url":"http://docs.vijnanaparishadofindia.org/jnanabha/jnanabha_volume_50_v1_2020/1_SandeepSJoshi.pdf","source":{"id":"https://openalex.org/S4387285991","display_name":"jnanabha","issn_l":"0304-9892","issn":["0304-9892","2455-7463"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Jnanabha","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"http://docs.vijnanaparishadofindia.org/jnanabha/jnanabha_volume_50_v1_2020/1_SandeepSJoshi.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Sandeep S. Joshi","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sandeep S. Joshi","raw_affiliation_strings":["'s","Department of Mathematics,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"'s","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics,","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5122793015","display_name":"Kishor Fakira Pawar","orcid":"https://orcid.org/0000-0002-0828-5851","observed_orcids":["https://orcid.org/0000-0002-0828-5851"]},"institutions":[{"id":"https://openalex.org/I157117621","display_name":"Kavayitri Bahinabai Chaudhari North Maharashtra University","ror":"https://ror.org/04g7tnd56","country_code":"IN","type":"education","lineage":["https://openalex.org/I157117621"]},{"id":"https://openalex.org/I4405282463","display_name":"Shirish Madhukarrao Chaudhari College, Jalgaon","ror":"https://ror.org/05wgw2804","country_code":"IN","type":"education","lineage":["https://openalex.org/I4405282463"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Kishor F. Pawar","raw_affiliation_strings":["Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon -425 001, Maharashtra, India","Shirish Madhukarrao Chaudhari College , Jalgaon -425 001 , Maharashtra , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon -425 001, Maharashtra, India","institution_ids":["https://openalex.org/I157117621"]},{"raw_affiliation_string":"Shirish Madhukarrao Chaudhari College , Jalgaon -425 001 , Maharashtra , India","institution_ids":["https://openalex.org/I4405282463"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"50","issue":"01","first_page":"14","last_page":"19"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9932000041007996,"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/T11476","display_name":"Graph theory and applications","score":0.9932000041007996,"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":0.004900000058114529,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.0003000000142492354,"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/graph-energy","display_name":"graph energy","score":0.7450000047683716},{"id":"https://openalex.org/keywords/commutative-rings","display_name":"commutative rings","score":0.75},{"id":"https://openalex.org/keywords/finite-fields","display_name":"finite fields","score":0.5199999809265137}],"concepts":[{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5769058465957642},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5562258362770081},{"id":"https://openalex.org/C161491579","wikidata":"https://www.wikidata.org/wiki/Q858656","display_name":"Commutative ring","level":3,"score":0.5282028317451477},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5241743922233582},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.503532350063324},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46470892429351807},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.418923944234848},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.19252276420593262},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.14367994666099548},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.58250/jnanabha.2020.50101","doi":"https://doi.org/10.58250/jnanabha.2020.50101","is_oa":true,"landing_page_url":"http://dx.doi.org/10.58250/jnanabha.2020.50101","pdf_url":"http://docs.vijnanaparishadofindia.org/jnanabha/jnanabha_volume_50_v1_2020/1_SandeepSJoshi.pdf","source":{"id":"https://openalex.org/S4387285991","display_name":"jnanabha","issn_l":"0304-9892","issn":["0304-9892","2455-7463"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Jnanabha","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.58250/jnanabha.2020.50101","doi":"https://doi.org/10.58250/jnanabha.2020.50101","is_oa":true,"landing_page_url":"http://dx.doi.org/10.58250/jnanabha.2020.50101","pdf_url":"http://docs.vijnanaparishadofindia.org/jnanabha/jnanabha_volume_50_v1_2020/1_SandeepSJoshi.pdf","source":{"id":"https://openalex.org/S4387285991","display_name":"jnanabha","issn_l":"0304-9892","issn":["0304-9892","2455-7463"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Jnanabha","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4320164366.pdf","grobid_xml":"https://content.openalex.org/works/W4320164366.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W2002257546","https://openalex.org/W2096214412","https://openalex.org/W4288348697"],"related_works":["https://openalex.org/W7216724670","https://openalex.org/W4288348697","https://openalex.org/W4405599660","https://openalex.org/W2278773311","https://openalex.org/W4408175261","https://openalex.org/W4403042912","https://openalex.org/W7160309013","https://openalex.org/W4400613451","https://openalex.org/W4387491384","https://openalex.org/W2773640017"],"abstract_inverted_index":{"Let":[0],"R":[1,19],"be":[2],"a":[3,9,44],"commutative":[4],"ring":[5,18],"and":[6,20,39,47,57],"PG(R)":[7],"is":[8,28,72],"graph":[10],"whose":[11],"vertices":[12,22],"are":[13,23],"all":[14],"the":[15,35,50],"elements":[16],"of":[17,37,43,52],"two":[21],"adjacent":[24],"if":[25],"their":[26],"product":[27],"zero.":[29],"In":[30],"this":[31],"article,":[32],"we":[33],"study":[34],"energy":[36,51],"1-Quasitotal":[38],"2-Quasitotal":[40],"Prime":[41],"Graph":[42],"Ring":[45],"Zp":[46],"also":[48,73],"find":[49],"PG":[53,58],"1":[54],"(Zp":[55,60],")":[56],"2":[59],"),":[61],"p":[62],"prime.":[63],"A":[64],"General":[65],"SCILAB":[66],"Software":[67],"code":[68],"for":[69],"our":[70],"calculation":[71],"presented":[74]},"counts_by_year":[],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2023-02-13T00:00:00"}