{"id":"https://openalex.org/W4283744962","doi":"https://doi.org/10.3390/sym14071349","title":"On Hosoya Polynomial and Subsequent Indices of C4C8(R) and C4C8(S) Nanosheets","display_name":"On Hosoya Polynomial and Subsequent Indices of C4C8(R) and C4C8(S) Nanosheets","publication_year":2022,"publication_date":"2022-06-30","ids":{"openalex":"https://openalex.org/W4283744962","doi":"https://doi.org/10.3390/sym14071349"},"language":"en","primary_location":{"id":"doi:10.3390/sym14071349","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14071349","pdf_url":"https://www.mdpi.com/2073-8994/14/7/1349/pdf?version=1656579862","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/14/7/1349/pdf?version=1656579862","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021203292","display_name":"Umber Sheikh","orcid":"https://orcid.org/0000-0002-8858-0817"},"institutions":[{"id":"https://openalex.org/I3130814776","display_name":"University of Okara","ror":"https://ror.org/02fmg6q11","country_code":"PK","type":"education","lineage":["https://openalex.org/I3130814776"]},{"id":"https://openalex.org/I5100685","display_name":"University of Education","ror":"https://ror.org/052z7nw84","country_code":"PK","type":"education","lineage":["https://openalex.org/I5100685"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Umber Sheikh","raw_affiliation_strings":["Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54700, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54700, Pakistan","institution_ids":["https://openalex.org/I5100685","https://openalex.org/I3130814776"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025152525","display_name":"Sidra Rashid","orcid":null},"institutions":[{"id":"https://openalex.org/I505182","display_name":"National Textile University","ror":"https://ror.org/030dak672","country_code":"PK","type":"education","lineage":["https://openalex.org/I505182"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Sidra Rashid","raw_affiliation_strings":["Department of Applied Sciences, National Textile University, Faisalabad 38000, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Sciences, National Textile University, Faisalabad 38000, Pakistan","institution_ids":["https://openalex.org/I505182"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036212072","display_name":"Cenap \u00d6zel","orcid":"https://orcid.org/0000-0001-8005-7039"},"institutions":[{"id":"https://openalex.org/I4210111472","display_name":"King Abdul Aziz University Hospital","ror":"https://ror.org/01vv03303","country_code":"SA","type":"healthcare","lineage":["https://openalex.org/I4210111472"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Cenap Ozel","raw_affiliation_strings":["Department of Mathematics, King Abdul Aziz University, Jeddah Makkah 22233, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, King Abdul Aziz University, Jeddah Makkah 22233, Saudi Arabia","institution_ids":["https://openalex.org/I4210111472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081648289","display_name":"Richard Pin\u010d\u00e1k","orcid":"https://orcid.org/0000-0002-5772-4777"},"institutions":[{"id":"https://openalex.org/I4210091658","display_name":"Institute of Experimental Physics of the Slovak Academy of Sciences","ror":"https://ror.org/0046rz373","country_code":"SK","type":"facility","lineage":["https://openalex.org/I207624831","https://openalex.org/I4210091658"]},{"id":"https://openalex.org/I207624831","display_name":"Slovak Academy of Sciences","ror":"https://ror.org/03h7qq074","country_code":"SK","type":"funder","lineage":["https://openalex.org/I207624831"]}],"countries":["SK"],"is_corresponding":true,"raw_author_name":"Richard Pincak","raw_affiliation_strings":["Institute of Experimental Physics, Slovak Academy of Sciences, 04011 Kosice, Slovakia"],"affiliations":[{"raw_affiliation_string":"Institute of Experimental Physics, Slovak Academy of Sciences, 04011 Kosice, Slovakia","institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210091658"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5081648289"],"corresponding_institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210091658"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.8763,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.76122387,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"14","issue":"7","first_page":"1349","last_page":"1349"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10211","display_name":"Computational Drug Discovery Methods","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10211","display_name":"Computational Drug Discovery Methods","score":0.9991999864578247,"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/T11476","display_name":"Graph theory and applications","score":0.9987999796867371,"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/T12023","display_name":"Cholinesterase and Neurodegenerative Diseases","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/2736","display_name":"Pharmacology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quantitative-structure\u2013activity-relationship","display_name":"Quantitative structure\u2013activity relationship","score":0.8051072359085083},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6608906388282776},{"id":"https://openalex.org/keywords/wiener-index","display_name":"Wiener index","score":0.6305856108665466},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5817050337791443},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.5072752833366394},{"id":"https://openalex.org/keywords/molecular-graph","display_name":"Molecular graph","score":0.45797795057296753},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4503841698169708},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3933297395706177},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3651139736175537},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3133785128593445},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.1374661922454834},{"id":"https://openalex.org/keywords/stereochemistry","display_name":"Stereochemistry","score":0.13477537035942078},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10144248604774475}],"concepts":[{"id":"https://openalex.org/C164126121","wikidata":"https://www.wikidata.org/wiki/Q766383","display_name":"Quantitative structure\u2013activity relationship","level":2,"score":0.8051072359085083},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6608906388282776},{"id":"https://openalex.org/C16640446","wikidata":"https://www.wikidata.org/wiki/Q909065","display_name":"Wiener index","level":3,"score":0.6305856108665466},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5817050337791443},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.5072752833366394},{"id":"https://openalex.org/C2780022179","wikidata":"https://www.wikidata.org/wiki/Q1986794","display_name":"Molecular graph","level":3,"score":0.45797795057296753},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4503841698169708},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3933297395706177},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3651139736175537},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3133785128593445},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.1374661922454834},{"id":"https://openalex.org/C71240020","wikidata":"https://www.wikidata.org/wiki/Q186011","display_name":"Stereochemistry","level":1,"score":0.13477537035942078},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10144248604774475}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym14071349","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14071349","pdf_url":"https://www.mdpi.com/2073-8994/14/7/1349/pdf?version=1656579862","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:19010fd0c45d4f75b294e3016d699495","is_oa":true,"landing_page_url":"https://doaj.org/article/19010fd0c45d4f75b294e3016d699495","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 14, Iss 7, p 1349 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/14/7/1349/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym14071349","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym14071349","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14071349","pdf_url":"https://www.mdpi.com/2073-8994/14/7/1349/pdf?version=1656579862","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4283744962.pdf","grobid_xml":"https://content.openalex.org/works/W4283744962.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W623814603","https://openalex.org/W973479196","https://openalex.org/W1975530924","https://openalex.org/W2007981503","https://openalex.org/W2021122901","https://openalex.org/W2063956528","https://openalex.org/W2081455121","https://openalex.org/W2293594562","https://openalex.org/W2318794083","https://openalex.org/W2321443461","https://openalex.org/W2328682859","https://openalex.org/W2596020893","https://openalex.org/W2779919241","https://openalex.org/W2790282917","https://openalex.org/W2795764937","https://openalex.org/W2805379170","https://openalex.org/W2810124054","https://openalex.org/W2890259939","https://openalex.org/W2895888963","https://openalex.org/W2916764154","https://openalex.org/W2956325288","https://openalex.org/W2976879340","https://openalex.org/W3014149066","https://openalex.org/W3047127748","https://openalex.org/W3087868383","https://openalex.org/W3095978049","https://openalex.org/W3100796472","https://openalex.org/W3110671984","https://openalex.org/W3124720206","https://openalex.org/W3131131746","https://openalex.org/W3137953770","https://openalex.org/W3157005354","https://openalex.org/W3162879149","https://openalex.org/W3164042436","https://openalex.org/W3198762384","https://openalex.org/W4200494152","https://openalex.org/W4206198655","https://openalex.org/W4210350245","https://openalex.org/W4210625684","https://openalex.org/W4214686358","https://openalex.org/W4223618280","https://openalex.org/W4226228025","https://openalex.org/W4240348137","https://openalex.org/W4285270923","https://openalex.org/W6670778907","https://openalex.org/W6697220676","https://openalex.org/W6701647815","https://openalex.org/W6749043637","https://openalex.org/W6796036143"],"related_works":["https://openalex.org/W2186351816","https://openalex.org/W2181887477","https://openalex.org/W1530753320","https://openalex.org/W2470410011","https://openalex.org/W2266169121","https://openalex.org/W2466856206","https://openalex.org/W2187991827","https://openalex.org/W2951601268","https://openalex.org/W2183177583","https://openalex.org/W89960651"],"abstract_inverted_index":{"Chemical":[0],"structures":[1],"are":[2,17,67],"mathematically":[3],"modeled":[4],"using":[5],"chemical":[6,120,141],"graphs.":[7],"The":[8,83,122],"graph":[9],"invariants":[10],"including":[11,94],"algebraic":[12,31],"polynomials":[13],"and":[14,33,59,76,98,113,129,158],"topological":[15,21,42,92],"indices":[16,93,102,133],"related":[18,130],"to":[19,48,88,135,161],"the":[20,50,68,136,140,145],"structure":[22,72,109,115],"of":[23,38,53,61,73,81,119,126],"molecules.":[24],"Hosoya":[25,51,84,127,153],"polynomial":[26,32,52,85,128],"is":[27,34,46,86,147],"a":[28,35,78],"distance":[29,40,90,131],"based":[30,41,91,132],"closed":[36],"form":[37],"several":[39],"indices.":[43],"This":[44],"article":[45],"devoted":[47],"compute":[49],"two":[54],"different":[55,152],"atomic":[56,163],"configurations":[57],"(C4C8(R)":[58],"C4C8(S))":[60],"C4C8":[62],"Carbon":[63,65],"Nanosheets.":[64],"nanosheets":[66],"most":[69],"stable,":[70],"flexible":[71],"uniform":[74],"thickness":[75],"admit":[77],"vast":[79],"range":[80],"applications.":[82],"used":[87],"calculate":[89],"Wiener,":[95],"hyper":[96],"Wiener":[97],"Tratch\u2013Stankevitch\u2013Zafirov":[99],"Indices.":[100],"These":[101],"play":[103],"their":[104,162],"part":[105],"in":[106],"determining":[107],"quantitative":[108,114],"property":[110],"relationship":[111,117],"(QSPR)":[112],"activity":[116],"(QSAR)":[118],"structures.":[121],"three":[123],"dimensional":[124],"presentation":[125],"leads":[134],"result":[137],"that":[138],"though":[139],"formula":[142],"for":[143],"both":[144],"sheets":[146],"same,":[148],"yet":[149],"they":[150],"possess":[151],"Polynomials":[154],"presenting":[155],"distinct":[156],"QSPR":[157],"QSAR":[159],"corresponding":[160],"configuration.":[164]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}