{"id":"https://openalex.org/W3096034972","doi":"https://doi.org/10.1142/s1793830921500543","title":"On the forgotten topological index of graphs","display_name":"On the forgotten topological index of graphs","publication_year":2020,"publication_date":"2020-11-03","ids":{"openalex":"https://openalex.org/W3096034972","doi":"https://doi.org/10.1142/s1793830921500543","mag":"3096034972"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830921500543","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921500543","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/A5029192127","display_name":"Akbar Jahanbani","orcid":"https://orcid.org/0000-0002-2800-4420"},"institutions":[{"id":"https://openalex.org/I51301133","display_name":"Azarbaijan Shahid Madani University","ror":"https://ror.org/05pg2cw06","country_code":"IR","type":"education","lineage":["https://openalex.org/I51301133"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Akbar Jahanbani","raw_affiliation_strings":["Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, I. R. Iran"],"raw_orcid":"https://orcid.org/0000-0002-2800-4420","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, I. R. Iran","institution_ids":["https://openalex.org/I51301133"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029192127"],"corresponding_institution_ids":["https://openalex.org/I51301133"],"apc_list":null,"apc_paid":null,"fwci":1.1608,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.78016529,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"13","issue":"05","first_page":null,"last_page":null},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9817000031471252,"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"}},{"id":"https://openalex.org/T10211","display_name":"Computational Drug Discovery Methods","score":0.9775999784469604,"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":0.7340517044067383},{"id":"https://openalex.org/keywords/topological-index","display_name":"Topological index","score":0.7265923619270325},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.603893518447876},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5629481077194214},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.5453046560287476},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4345315992832184},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1551961898803711}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7340517044067383},{"id":"https://openalex.org/C159867001","wikidata":"https://www.wikidata.org/wiki/Q904942","display_name":"Topological index","level":2,"score":0.7265923619270325},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.603893518447876},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5629481077194214},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.5453046560287476},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4345315992832184},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1551961898803711},{"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/s1793830921500543","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921500543","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":5,"referenced_works":["https://openalex.org/W2000076674","https://openalex.org/W2065534534","https://openalex.org/W2318290315","https://openalex.org/W2559947018","https://openalex.org/W2947955017"],"related_works":["https://openalex.org/W4213380946","https://openalex.org/W2798504042","https://openalex.org/W4293583306","https://openalex.org/W2980963558","https://openalex.org/W2466559673","https://openalex.org/W4366550101","https://openalex.org/W2901172912","https://openalex.org/W3175357564","https://openalex.org/W2979113253","https://openalex.org/W2695410198"],"abstract_inverted_index":{"The":[0],"forgotten":[1],"topological":[2,68],"index":[3],"of":[4,15,26,41,64,97,139,146],"a":[5,101,152],"graph":[6,74,138],"[Formula:":[7,17,23,27,31,35,44,48,52],"see":[8,18,24,28,32,36,45,49,53],"text]":[9,19,25,33,37,46,50],"is":[10],"defined":[11],"as":[12],"the":[13,39,42,61,65,86,98,125,136,147],"sum":[14],"weights":[16],"over":[20],"all":[21],"edges":[22],"text],":[29,54],"where":[30],"and":[34,47,90,95,113,119,141],"are":[38],"degrees":[40],"vertices":[43],"in":[51],"respectively.":[55,104],"In":[56],"this":[57,80],"paper,":[58],"we":[59,83],"characterize":[60],"extremal":[62,87,137],"properties":[63],"F-index":[66,99],"(forgotten":[67],"index).":[69],"We":[70,149],"first":[71],"introduce":[72],"some":[73],"transformations":[75],"which":[76],"increase":[77],"or":[78],"decrease":[79],"index.":[81],"Furthermore,":[82],"will":[84,150],"determine":[85],"acyclic,":[88],"unicyclic":[89,118,140],"bicyclic":[91,120,142],"graphs":[92,121,143],"with":[93,122,144],"minimum":[94,145],"maximum":[96],"by":[100],"unified":[102],"method,":[103],"Recently,":[105],"Akhter":[106],"et":[107],"al.":[108],"[S.":[109],"Akhter,":[110],"M.":[111,114],"Imran":[112],"R.":[115],"Farahani,":[116],"Extremal":[117],"respect":[123],"to":[124],"F-index,":[126],"AKCE":[127],"Int.":[128],"J.":[129],"Graphs":[130],"Comb.":[131],"14":[132],"(2017)":[133],"80\u201391]":[134],"characterized":[135],"F-index.":[148],"provide":[151],"shorter":[153],"proof.":[154]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
