{"id":"https://openalex.org/W4409994637","doi":"https://doi.org/10.1155/cplx/6469958","title":"Computational Analysis of Benzenoid Systems Using Valency\u2010Based Entropy Metrics and Topological Indices","display_name":"Computational Analysis of Benzenoid Systems Using Valency\u2010Based Entropy Metrics and Topological Indices","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4409994637","doi":"https://doi.org/10.1155/cplx/6469958"},"language":"en","primary_location":{"id":"doi:10.1155/cplx/6469958","is_oa":true,"landing_page_url":"https://doi.org/10.1155/cplx/6469958","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/cplx/6469958","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://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/cplx/6469958","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006474541","display_name":"Muhammad Kamran","orcid":"https://orcid.org/0000-0002-2358-178X"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]},{"id":"https://openalex.org/I3131790217","display_name":"Bukhara State University","ror":"https://ror.org/05k4xnj24","country_code":"UZ","type":"education","lineage":["https://openalex.org/I3131790217"]},{"id":"https://openalex.org/I4405261817","display_name":"Thal University Bhakkar","ror":"https://ror.org/05x4saq78","country_code":"PK","type":"education","lineage":["https://openalex.org/I4405261817"]},{"id":"https://openalex.org/I464993","display_name":"Barkatullah University","ror":"https://ror.org/02ax13658","country_code":"IN","type":"education","lineage":["https://openalex.org/I464993"]}],"countries":["CN","IN","PK","UZ"],"is_corresponding":false,"raw_author_name":"Muhammad Kamran","raw_affiliation_strings":["Center for Research and Innovation ,  Asia International University , Yangiobod MFY Gijduvan Street House 74,  Bukhara ,  Uzbekistan","Department of Mathematics ,  Thal University Bhakkar ,  Bhakkar ,  30000 ,  Pakistan , tu.edu.pk","Research Institute of Business Analytics and SCM ,  Shenzhen University ,  Shenzhen ,  China , szu.edu.cn"],"raw_orcid":"https://orcid.org/0000-0002-2358-178X","affiliations":[{"raw_affiliation_string":"Center for Research and Innovation ,  Asia International University , Yangiobod MFY Gijduvan Street House 74,  Bukhara ,  Uzbekistan","institution_ids":["https://openalex.org/I3131790217"]},{"raw_affiliation_string":"Department of Mathematics ,  Thal University Bhakkar ,  Bhakkar ,  30000 ,  Pakistan , tu.edu.pk","institution_ids":["https://openalex.org/I4405261817","https://openalex.org/I464993"]},{"raw_affiliation_string":"Research Institute of Business Analytics and SCM ,  Shenzhen University ,  Shenzhen ,  China , szu.edu.cn","institution_ids":["https://openalex.org/I180726961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075401793","display_name":"Muhammad Nadeem","orcid":"https://orcid.org/0000-0002-8195-3705"},"institutions":[{"id":"https://openalex.org/I4210105419","display_name":"Lahore Garrison University","ror":"https://ror.org/01j4ba358","country_code":"PK","type":"education","lineage":["https://openalex.org/I4210105419"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Muhammad Nadeem","raw_affiliation_strings":["Department of Mathematics ,  Lahore Garrison University ,  Lahore ,  Pakistan , lgu.edu.pk"],"raw_orcid":"https://orcid.org/0000-0002-8195-3705","affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  Lahore Garrison University ,  Lahore ,  Pakistan , lgu.edu.pk","institution_ids":["https://openalex.org/I4210105419"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017790151","display_name":"Manal Elzain Mohamed Abdalla","orcid":"https://orcid.org/0009-0001-8951-8185"},"institutions":[{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Manal E. M. Abdulla","raw_affiliation_strings":["Department of Mathematics ,  King Khalid University ,  Muhayil ,  Saudi Arabia , kku.edu.sa"],"raw_orcid":"https://orcid.org/0009-0001-8951-8185","affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  King Khalid University ,  Muhayil ,  Saudi Arabia , kku.edu.sa","institution_ids":["https://openalex.org/I82952536"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016880813","display_name":"\u0130smail Naci Cang\u00fcl","orcid":"https://orcid.org/0000-0002-0700-5774"},"institutions":[{"id":"https://openalex.org/I131835042","display_name":"Bursa Uluda\u011f \u00dcni\u0307versi\u0307tesi\u0307","ror":"https://ror.org/03tg3eb07","country_code":"TR","type":"education","lineage":["https://openalex.org/I131835042"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Ismail Naci Cangul","raw_affiliation_strings":["Department of Mathematics ,  Bursa Uludag University ,  Bursa ,  Tu\u0308rkiye , uludag.edu.tr"],"raw_orcid":"https://orcid.org/0000-0002-0700-5774","affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  Bursa Uludag University ,  Bursa ,  Tu\u0308rkiye , uludag.edu.tr","institution_ids":["https://openalex.org/I131835042"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5117399222","display_name":"Nurullayev Mirolim Nosirovich","orcid":null},"institutions":[{"id":"https://openalex.org/I3131790217","display_name":"Bukhara State University","ror":"https://ror.org/05k4xnj24","country_code":"UZ","type":"education","lineage":["https://openalex.org/I3131790217"]}],"countries":["UZ"],"is_corresponding":false,"raw_author_name":"Nurullayev Mirolim Nosirovich","raw_affiliation_strings":["Center for Research and Innovation ,  Asia International University , Yangiobod MFY Gijduvan Street House 74,  Bukhara ,  Uzbekistan"],"raw_orcid":"https://orcid.org/0009-0008-3698-5792","affiliations":[{"raw_affiliation_string":"Center for Research and Innovation ,  Asia International University , Yangiobod MFY Gijduvan Street House 74,  Bukhara ,  Uzbekistan","institution_ids":["https://openalex.org/I3131790217"]}]}],"institutions":[],"countries_distinct_count":6,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5075401793"],"corresponding_institution_ids":["https://openalex.org/I4210105419"],"apc_list":{"value":2550,"currency":"USD","value_usd":2550},"apc_paid":{"value":2550,"currency":"USD","value_usd":2550},"fwci":2.4764,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.83701715,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"2025","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":0.9994000196456909,"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":0.9994000196456909,"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/T13013","display_name":"Free Radicals and Antioxidants","score":0.9951000213623047,"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":0.9934999942779541,"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/valency","display_name":"Valency","score":0.9462317824363708},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4743451178073883},{"id":"https://openalex.org/keywords/topological-index","display_name":"Topological index","score":0.4478420615196228},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.42946138978004456},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.37844496965408325},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3742034137248993},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3556693494319916},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18605536222457886},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16459578275680542},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.16029465198516846}],"concepts":[{"id":"https://openalex.org/C139007053","wikidata":"https://www.wikidata.org/wiki/Q1412952","display_name":"Valency","level":2,"score":0.9462317824363708},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4743451178073883},{"id":"https://openalex.org/C159867001","wikidata":"https://www.wikidata.org/wiki/Q904942","display_name":"Topological index","level":2,"score":0.4478420615196228},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.42946138978004456},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.37844496965408325},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3742034137248993},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3556693494319916},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18605536222457886},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16459578275680542},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.16029465198516846},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/cplx/6469958","is_oa":true,"landing_page_url":"https://doi.org/10.1155/cplx/6469958","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/cplx/6469958","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:a0d5f005-508e-4d1b-9175-3358d498f907","is_oa":false,"landing_page_url":"https://avesis.uludag.edu.tr/publication/details/a0d5f005-508e-4d1b-9175-3358d498f907/oai","pdf_url":null,"source":{"id":"https://openalex.org/S7407055210","display_name":"Bursa Uludag University - AVESIS","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:5bef0c8ebcd54347b5f359b13f21226e","is_oa":true,"landing_page_url":"https://doaj.org/article/5bef0c8ebcd54347b5f359b13f21226e","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 2025 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/cplx/6469958","is_oa":true,"landing_page_url":"https://doi.org/10.1155/cplx/6469958","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/cplx/6469958","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":[],"awards":[{"id":"https://openalex.org/G3629623716","display_name":null,"funder_award_id":"R.G.P.2/217/45","funder_id":"https://openalex.org/F4320324433","funder_display_name":"King Khalid University"}],"funders":[{"id":"https://openalex.org/F4320324433","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4409994637.pdf","grobid_xml":"https://content.openalex.org/works/W4409994637.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W1995875735","https://openalex.org/W1996223396","https://openalex.org/W2031460688","https://openalex.org/W2080255676","https://openalex.org/W2091613287","https://openalex.org/W2125209314","https://openalex.org/W2809095523","https://openalex.org/W2954940255","https://openalex.org/W3040835415","https://openalex.org/W3043405172","https://openalex.org/W3132046681","https://openalex.org/W3148416643","https://openalex.org/W3183565531","https://openalex.org/W3207585608","https://openalex.org/W3216403074","https://openalex.org/W4213442697","https://openalex.org/W4224053558","https://openalex.org/W4225328452","https://openalex.org/W4281766857","https://openalex.org/W4281960485","https://openalex.org/W4282841872","https://openalex.org/W4286633060","https://openalex.org/W4292560652","https://openalex.org/W4293103769","https://openalex.org/W4301391704","https://openalex.org/W4308579531","https://openalex.org/W4313652774","https://openalex.org/W4313889995","https://openalex.org/W4320729826","https://openalex.org/W4322012354","https://openalex.org/W4362721948","https://openalex.org/W4366602650","https://openalex.org/W4376867539","https://openalex.org/W4377023937","https://openalex.org/W4378473085","https://openalex.org/W4379281870","https://openalex.org/W4381327371","https://openalex.org/W4383955886","https://openalex.org/W4391573989","https://openalex.org/W4393210046","https://openalex.org/W4393254894","https://openalex.org/W4396633809"],"related_works":["https://openalex.org/W431658849","https://openalex.org/W1992814711","https://openalex.org/W638739646","https://openalex.org/W4212917371","https://openalex.org/W2762663192","https://openalex.org/W1998523619","https://openalex.org/W1979918629","https://openalex.org/W2501908867","https://openalex.org/W4403104997","https://openalex.org/W2180033908"],"abstract_inverted_index":{"Nanomaterials":[0],"find":[1],"application":[2],"in":[3,111],"electronics,":[4],"drugs,":[5],"and":[6,40,53,96,113],"biology":[7],"among":[8],"other":[9],"disciplines.":[10],"Benzenoid":[11],"systems":[12,35],"with":[13,91],"their":[14,25,82,108],"homogeneous":[15],"structures":[16,79],"are":[17],"especially":[18],"fit":[19],"for":[20],"computer":[21],"study":[22],"because":[23],"of":[24,33,55,61,98],"predictable":[26],"geometries.":[27],"This":[28,103],"work":[29,63],"investigates":[30],"computational":[31],"analysis":[32],"benzenoid":[34,77,99],"using":[36],"valency\u2010based":[37],"entropy":[38,92],"measurements":[39,93],"degree\u2010based":[41],"topological":[42,88],"indices.":[43],"Knowing":[44],"these":[45],"indices":[46,89],"helps":[47,104],"one":[48,73,105],"to":[49,80,106],"anticipate":[50],"the":[51,62,66,76],"reactivity":[52],"stability":[54],"related":[56],"compounds.":[57],"The":[58],"main":[59],"focus":[60],"is":[64],"on":[65],"thermodynamic":[67,83],"parameter":[68],"entropy,":[69],"which":[70],"reveals":[71],"how":[72],"can":[74],"modify":[75],"hydrocarbon":[78],"improve":[81],"characteristics.":[84],"In":[85],"this":[86],"work,":[87],"combined":[90],"facilitates":[94],"prediction":[95],"enhancement":[97],"system":[100],"physicochemical":[101],"features.":[102],"grasp":[107],"possible":[109],"applications":[110],"nanotechnology":[112],"medicine.":[114]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}