{"id":"https://openalex.org/W3167473116","doi":"https://doi.org/10.1155/2021/9911226","title":"Computation of Topological Indices of NEPS of Graphs","display_name":"Computation of Topological Indices of NEPS of Graphs","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3167473116","doi":"https://doi.org/10.1155/2021/9911226","mag":"3167473116"},"language":"en","primary_location":{"id":"doi:10.1155/2021/9911226","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/9911226","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/9911226.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2021/9911226.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024364073","display_name":"Muhammad Imran","orcid":"https://orcid.org/0000-0002-2827-0462"},"institutions":[{"id":"https://openalex.org/I201726411","display_name":"United Arab Emirates University","ror":"https://ror.org/01km6p862","country_code":"AE","type":"education","lineage":["https://openalex.org/I201726411"]}],"countries":["AE"],"is_corresponding":true,"raw_author_name":"Muhammad Imran","raw_affiliation_strings":["Department of Mathematical Sciences, College of Sciences, United Arab Emirates University, Al Ain, UAE"],"raw_orcid":"https://orcid.org/0000-0002-2827-0462","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, College of Sciences, United Arab Emirates University, Al Ain, UAE","institution_ids":["https://openalex.org/I201726411"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068679217","display_name":"Shehnaz Akhter","orcid":"https://orcid.org/0000-0002-4225-5920"},"institutions":[{"id":"https://openalex.org/I929597975","display_name":"National University of Sciences and Technology","ror":"https://ror.org/03w2j5y17","country_code":"PK","type":"education","lineage":["https://openalex.org/I929597975"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Shehnaz Akhter","raw_affiliation_strings":["School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan","institution_ids":["https://openalex.org/I929597975"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066651205","display_name":"Muhammad Kamran Jamil","orcid":"https://orcid.org/0000-0001-5715-9299"},"institutions":[{"id":"https://openalex.org/I195024194","display_name":"Riphah International University","ror":"https://ror.org/02kdm5630","country_code":"PK","type":"education","lineage":["https://openalex.org/I195024194"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Kamran Jamil","raw_affiliation_strings":["Department of Mathematics, Riphah Institute of Computing and Applied Sciences, Riphah International University, Lahore, Pakistan"],"raw_orcid":"https://orcid.org/0000-0001-5715-9299","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Riphah Institute of Computing and Applied Sciences, Riphah International University, Lahore, Pakistan","institution_ids":["https://openalex.org/I195024194"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5024364073"],"corresponding_institution_ids":["https://openalex.org/I201726411"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":2.1113,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.86854093,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2021","issue":"1","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":0.9988999962806702,"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":0.9988999962806702,"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/T10211","display_name":"Computational Drug Discovery Methods","score":0.9965999722480774,"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/T10074","display_name":"Carbon Nanotubes in Composites","score":0.9617000222206116,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.8033270835876465},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6257550716400146},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5393791794776917},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45701271295547485},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.42593657970428467},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4213869571685791},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3747274875640869},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3614143133163452},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23293697834014893}],"concepts":[{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.8033270835876465},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6257550716400146},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5393791794776917},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45701271295547485},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.42593657970428467},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4213869571685791},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3747274875640869},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3614143133163452},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23293697834014893},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2021/9911226","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/9911226","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/9911226.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:9911226","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/complexity/2021/9911226.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:eb1e8558d2e5445a89051c193aa7fe05","is_oa":true,"landing_page_url":"https://doaj.org/article/eb1e8558d2e5445a89051c193aa7fe05","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2021 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2021/9911226","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/9911226","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/9911226.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5799999833106995,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[{"id":"https://openalex.org/G2099851399","display_name":null,"funder_award_id":"G00003271","funder_id":"https://openalex.org/F4320323593","funder_display_name":"United Arab Emirates University"},{"id":"https://openalex.org/G5721014023","display_name":null,"funder_award_id":"G00002590","funder_id":"https://openalex.org/F4320323593","funder_display_name":"United Arab Emirates University"}],"funders":[{"id":"https://openalex.org/F4320323593","display_name":"United Arab Emirates University","ror":"https://ror.org/01km6p862"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3167473116.pdf","grobid_xml":"https://content.openalex.org/works/W3167473116.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W72434325","https://openalex.org/W623814603","https://openalex.org/W1545231783","https://openalex.org/W1589331344","https://openalex.org/W1940404705","https://openalex.org/W1983466760","https://openalex.org/W1993896140","https://openalex.org/W1995228121","https://openalex.org/W2001337009","https://openalex.org/W2007053716","https://openalex.org/W2021229217","https://openalex.org/W2021589266","https://openalex.org/W2026141299","https://openalex.org/W2032154165","https://openalex.org/W2045993700","https://openalex.org/W2055509533","https://openalex.org/W2058604395","https://openalex.org/W2065534534","https://openalex.org/W2079538859","https://openalex.org/W2080255676","https://openalex.org/W2084063391","https://openalex.org/W2117214537","https://openalex.org/W2119446254","https://openalex.org/W2159396795","https://openalex.org/W2318794083","https://openalex.org/W2467335949","https://openalex.org/W2525866606","https://openalex.org/W2563100211","https://openalex.org/W2606545786","https://openalex.org/W2609437223","https://openalex.org/W2620716656","https://openalex.org/W2754027707","https://openalex.org/W2793321206","https://openalex.org/W2882978056","https://openalex.org/W2978010002","https://openalex.org/W2981198699","https://openalex.org/W2986307427","https://openalex.org/W3096161105","https://openalex.org/W4211217667","https://openalex.org/W4232896595","https://openalex.org/W4302547000"],"related_works":["https://openalex.org/W4318195686","https://openalex.org/W2975999359","https://openalex.org/W3161230432","https://openalex.org/W4287173569","https://openalex.org/W2796561647","https://openalex.org/W4313513739","https://openalex.org/W3119693376","https://openalex.org/W3182422617","https://openalex.org/W2244208494","https://openalex.org/W2950159329"],"abstract_inverted_index":{"The":[0,86],"inspection":[1],"of":[2,19,33,44,56,76,80,84,92,108,121],"the":[3,20,34,53,74,81,105,114],"networks":[4],"and":[5,70,113],"graphs":[6,93],"through":[7],"structural":[8,24],"properties":[9,25],"is":[10,26,78,94],"a":[11,38,65,95],"broad":[12],"research":[13],"topic":[14],"with":[15],"developing":[16],"significance.":[17],"One":[18],"methods":[21],"in":[22,68],"analyzing":[23],"obtaining":[27],"quantitative":[28],"measures":[29],"that":[30],"encode":[31],"data":[32],"whole":[35,54],"network":[36],"by":[37],"real":[39],"quantity.":[40],"A":[41],"large":[42],"quantity":[43],"graph\u2010associated":[45],"numerical":[46],"invariants":[47],"has":[48],"been":[49],"used":[50],"to":[51],"examine":[52],"structure":[55],"networks.":[57],"In":[58,100],"this":[59,101],"analysis,":[60],"degree\u2010related":[61],"topological":[62],"indices":[63,77,118],"have":[64],"significant":[66],"place":[67],"nanotechnology":[69],"theoretical":[71],"chemistry.":[72],"Thereby,":[73],"computation":[75],"one":[79],"successful":[82],"branches":[83],"research.":[85],"noncomplete":[87],"extended":[88],"p":[89],"\u2010sum":[90],"(NEPS)":[91],"famous":[96],"general":[97,109],"graph":[98],"product.":[99],"paper,":[102],"we":[103],"investigated":[104],"exact":[106],"formulas":[107],"zeroth\u2010order":[110],"Randi\u0107,":[111,112],"first":[115],"multiplicative":[116],"Zagreb":[117],"for":[119],"NEPS":[120],"graphs.":[122]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}