{"title":"基于偏心率的六边形网络拓扑指标","authors":"S Deepika, P. Arathi","doi":"10.1080/23799927.2023.2279204","DOIUrl":null,"url":null,"abstract":"AbstractChemical graph theory acts as a tool for converting the molecular information to a numerical parameter. Topological indices are numeric quantities that related with physio-chemical properties of chemical compounds. Distance and Degree based topological indices and Counting related polynomials are three prominent and extensively researched classes of topological indices. In all these categories, distance based topological descriptors have significant impact in chemical graph theory. In this paper, the “Total eccentricity index ζ(G), Geometric-arithmetic index GA4(G), Eccentricity based Zagreb indices M1∗(G),M1∗∗(G) and M2∗(G), Average eccentricity index avec(G), and Atom-bond connectivity index ABC5(G)” of hexagonal networks are computed.Keywords: Total eccentricity indexGeometric arithmetic indexEccentricity version of Zagreb indicesAverage eccentricity indexAtom bond connectivity index and hexagonal networkKeywords: Mathematics Subject Classification (2000): 05C12, 05C90, 92E10, 05C92, 05C09DisclaimerAs a service to authors and researchers we are providing this version of an accepted manuscript (AM). Copyediting, typesetting, and review of the resulting proofs will be undertaken on this manuscript before final publication of the Version of Record (VoR). During production and pre-press, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal relate to these versions also. FundingThe authors declare that no funds, grants, or other support were received during the preparation of this manuscript.Data availabilityData sharing not applicable to this article as no datasets were generated or analyzed during the current study.Conflicts of interestThe authors have no relevant financial or non-financial interests to disclose.","PeriodicalId":37216,"journal":{"name":"International Journal of Computer Mathematics: Computer Systems Theory","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2023-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Eccentricity based Topological indices of Hexagonal Network\",\"authors\":\"S Deepika, P. Arathi\",\"doi\":\"10.1080/23799927.2023.2279204\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"AbstractChemical graph theory acts as a tool for converting the molecular information to a numerical parameter. Topological indices are numeric quantities that related with physio-chemical properties of chemical compounds. Distance and Degree based topological indices and Counting related polynomials are three prominent and extensively researched classes of topological indices. In all these categories, distance based topological descriptors have significant impact in chemical graph theory. In this paper, the “Total eccentricity index ζ(G), Geometric-arithmetic index GA4(G), Eccentricity based Zagreb indices M1∗(G),M1∗∗(G) and M2∗(G), Average eccentricity index avec(G), and Atom-bond connectivity index ABC5(G)” of hexagonal networks are computed.Keywords: Total eccentricity indexGeometric arithmetic indexEccentricity version of Zagreb indicesAverage eccentricity indexAtom bond connectivity index and hexagonal networkKeywords: Mathematics Subject Classification (2000): 05C12, 05C90, 92E10, 05C92, 05C09DisclaimerAs a service to authors and researchers we are providing this version of an accepted manuscript (AM). Copyediting, typesetting, and review of the resulting proofs will be undertaken on this manuscript before final publication of the Version of Record (VoR). During production and pre-press, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal relate to these versions also. FundingThe authors declare that no funds, grants, or other support were received during the preparation of this manuscript.Data availabilityData sharing not applicable to this article as no datasets were generated or analyzed during the current study.Conflicts of interestThe authors have no relevant financial or non-financial interests to disclose.\",\"PeriodicalId\":37216,\"journal\":{\"name\":\"International Journal of Computer Mathematics: Computer Systems Theory\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2023-11-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Computer Mathematics: Computer Systems Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/23799927.2023.2279204\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"COMPUTER SCIENCE, THEORY & METHODS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Computer Mathematics: Computer Systems Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/23799927.2023.2279204","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
Eccentricity based Topological indices of Hexagonal Network
AbstractChemical graph theory acts as a tool for converting the molecular information to a numerical parameter. Topological indices are numeric quantities that related with physio-chemical properties of chemical compounds. Distance and Degree based topological indices and Counting related polynomials are three prominent and extensively researched classes of topological indices. In all these categories, distance based topological descriptors have significant impact in chemical graph theory. In this paper, the “Total eccentricity index ζ(G), Geometric-arithmetic index GA4(G), Eccentricity based Zagreb indices M1∗(G),M1∗∗(G) and M2∗(G), Average eccentricity index avec(G), and Atom-bond connectivity index ABC5(G)” of hexagonal networks are computed.Keywords: Total eccentricity indexGeometric arithmetic indexEccentricity version of Zagreb indicesAverage eccentricity indexAtom bond connectivity index and hexagonal networkKeywords: Mathematics Subject Classification (2000): 05C12, 05C90, 92E10, 05C92, 05C09DisclaimerAs a service to authors and researchers we are providing this version of an accepted manuscript (AM). Copyediting, typesetting, and review of the resulting proofs will be undertaken on this manuscript before final publication of the Version of Record (VoR). During production and pre-press, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal relate to these versions also. FundingThe authors declare that no funds, grants, or other support were received during the preparation of this manuscript.Data availabilityData sharing not applicable to this article as no datasets were generated or analyzed during the current study.Conflicts of interestThe authors have no relevant financial or non-financial interests to disclose.