{"id":"https://openalex.org/W2947955017","doi":"https://doi.org/10.1142/s1793830919500393","title":"F-index and hyper-Zagreb index of four new tensor products of graphs and their complements","display_name":"F-index and hyper-Zagreb index of four new tensor products of graphs and their complements","publication_year":2019,"publication_date":"2019-05-27","ids":{"openalex":"https://openalex.org/W2947955017","doi":"https://doi.org/10.1142/s1793830919500393","mag":"2947955017"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830919500393","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830919500393","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/A5043423214","display_name":"B. Basavanagoud","orcid":"https://orcid.org/0000-0002-6338-7770"},"institutions":[{"id":"https://openalex.org/I110083240","display_name":"Karnatak University","ror":"https://ror.org/05ajnv358","country_code":"IN","type":"education","lineage":["https://openalex.org/I110083240"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"B. Basavanagoud","raw_affiliation_strings":["Department of Mathematics, Karnatak University, Dharwad 580 003, Karnataka, India"],"raw_orcid":"https://orcid.org/0000-0002-6338-7770","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Karnatak University, Dharwad 580 003, Karnataka, India","institution_ids":["https://openalex.org/I110083240"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013200262","display_name":"Anand P. Barangi","orcid":null},"institutions":[{"id":"https://openalex.org/I110083240","display_name":"Karnatak University","ror":"https://ror.org/05ajnv358","country_code":"IN","type":"education","lineage":["https://openalex.org/I110083240"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Anand P. Barangi","raw_affiliation_strings":["Department of Mathematics, Karnatak University, Dharwad 580 003, Karnataka, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Karnatak University, Dharwad 580 003, Karnataka, India","institution_ids":["https://openalex.org/I110083240"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043423214"],"corresponding_institution_ids":["https://openalex.org/I110083240"],"apc_list":null,"apc_paid":null,"fwci":1.1401,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.7588608,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"11","issue":"03","first_page":"1950039","last_page":"1950039"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11298","display_name":"Synthesis and Properties of Aromatic Compounds","score":0.9876999855041504,"subfield":{"id":"https://openalex.org/subfields/1605","display_name":"Organic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10211","display_name":"Computational Drug Discovery Methods","score":0.9463000297546387,"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/combinatorics","display_name":"Combinatorics","score":0.6983664035797119},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6442272663116455},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5858721137046814},{"id":"https://openalex.org/keywords/topological-index","display_name":"Topological index","score":0.5617325901985168},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.5572284460067749},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.4344242811203003},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34586912393569946},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14509856700897217},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14337781071662903}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6983664035797119},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6442272663116455},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5858721137046814},{"id":"https://openalex.org/C159867001","wikidata":"https://www.wikidata.org/wiki/Q904942","display_name":"Topological index","level":2,"score":0.5617325901985168},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.5572284460067749},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.4344242811203003},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34586912393569946},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14509856700897217},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14337781071662903},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830919500393","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830919500393","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":[{"id":"https://openalex.org/G7144176861","display_name":null,"funder_award_id":"F.510/3/DRS-III/2016(SAP-I)","funder_id":"https://openalex.org/F4320320767","funder_display_name":"University Grants Commission"}],"funders":[{"id":"https://openalex.org/F4320320767","display_name":"University Grants Commission","ror":"https://ror.org/04p800546"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W71943752","https://openalex.org/W1757369072","https://openalex.org/W1980522665","https://openalex.org/W1992105048","https://openalex.org/W2000076674","https://openalex.org/W2014998080","https://openalex.org/W2018756269","https://openalex.org/W2020941523","https://openalex.org/W2028907980","https://openalex.org/W2045993700","https://openalex.org/W2052417492","https://openalex.org/W2065534534","https://openalex.org/W2066891982","https://openalex.org/W2085908220","https://openalex.org/W2090310704","https://openalex.org/W2092293374","https://openalex.org/W2115325963","https://openalex.org/W2142066294","https://openalex.org/W2170839756","https://openalex.org/W2207432438","https://openalex.org/W2272550722","https://openalex.org/W2318290315","https://openalex.org/W2318794083","https://openalex.org/W2563100211","https://openalex.org/W3044563499","https://openalex.org/W4213214460"],"related_works":["https://openalex.org/W4213380946","https://openalex.org/W2798504042","https://openalex.org/W4293583306","https://openalex.org/W2466559673","https://openalex.org/W4366550101","https://openalex.org/W2901172912","https://openalex.org/W3175357564","https://openalex.org/W2979113253","https://openalex.org/W2695410198","https://openalex.org/W4252064769"],"abstract_inverted_index":{"For":[0],"a":[1,78],"molecular":[2],"graph":[3,29],"[Formula:":[4,8,57,66],"see":[5,9,58,67],"text],":[6],"the":[7,18,28,31,37,50],"text]-index":[10],"or":[11],"forgotten":[12],"topological":[13],"index":[14,33,61],"is":[15,34],"defined":[16],"as":[17],"sum":[19,38,42],"of":[20,22,24,27,39,41,43,45,49,65,77,80],"cubes":[21],"degree":[23,44],"all":[25,46],"vertices":[26,48],"and":[30,62,82],"hyper-Zagreb":[32,60],"equal":[35],"to":[36],"square":[40],"adjacent":[47],"graph.":[51],"In":[52],"this":[53],"paper,":[54],"we":[55],"obtain":[56],"text]-index,":[59],"their":[63,83],"coindices":[64],"text]-tensor":[68],"products":[69,73],"(four":[70],"new":[71],"tensor":[72],"based":[74],"on":[75],"transformations":[76],"graph)":[79],"graphs":[81],"complements.":[84]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
