{"title":"Eccentricity based topological indices of face centered cubic lattice FCC(n)","authors":"H. Shaker, M. Imran, W. Sajjad","doi":"10.1515/mgmc-2021-0005","DOIUrl":null,"url":null,"abstract":"Abstract Chemical graph theory has become a prime gadget for mathematical chemistry due to its wide range of graph theoretical applications for solving molecular problems. A numerical quantity is named as topological index which explains the topological characteristics of a chemical graph. Recently face centered cubic lattice FCC(n) attracted large attention due to its prominent and distinguished properties. Mujahed and Nagy (2016, 2018) calculated the precise expression for Wiener index and hyper-Wiener index on rows of unit cells of FCC(n). In this paper, we present the ECI (eccentric-connectivity index), TCI (total-eccentricity index), CEI (connective eccentric index), and first eccentric Zagreb index of face centered cubic lattice.","PeriodicalId":48891,"journal":{"name":"Main Group Metal Chemistry","volume":"44 1","pages":"32 - 38"},"PeriodicalIF":1.8000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/mgmc-2021-0005","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Main Group Metal Chemistry","FirstCategoryId":"92","ListUrlMain":"https://doi.org/10.1515/mgmc-2021-0005","RegionNum":3,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"CHEMISTRY, INORGANIC & NUCLEAR","Score":null,"Total":0}
引用次数: 5
Abstract
Abstract Chemical graph theory has become a prime gadget for mathematical chemistry due to its wide range of graph theoretical applications for solving molecular problems. A numerical quantity is named as topological index which explains the topological characteristics of a chemical graph. Recently face centered cubic lattice FCC(n) attracted large attention due to its prominent and distinguished properties. Mujahed and Nagy (2016, 2018) calculated the precise expression for Wiener index and hyper-Wiener index on rows of unit cells of FCC(n). In this paper, we present the ECI (eccentric-connectivity index), TCI (total-eccentricity index), CEI (connective eccentric index), and first eccentric Zagreb index of face centered cubic lattice.
化学图论因其在解决分子问题上的广泛应用而成为数学化学的主要工具。一个数字量被称为拓扑指数,它解释了化学图的拓扑特征。面心立方晶格FCC(n)由于其突出而独特的性能引起了广泛的关注。Mujahed and Nagy(2016, 2018)计算了Wiener指数和hyper-Wiener指数在FCC单位细胞行上的精确表达式(n)。本文给出了面心立方晶格的偏心连通性指数(ECI)、总偏心指数(TCI)、连接偏心指数(CEI)和第一偏心萨格勒布指数。
期刊介绍:
This journal is committed to the publication of short communications, original research, and review articles within the field of main group metal and semi-metal chemistry, Main Group Metal Chemistry is an open-access, peer-reviewed journal that publishes in ongoing way. Papers addressing the theoretical, spectroscopic, mechanistic and synthetic aspects of inorganic, coordination and organometallic main group metal and semi-metal compounds, including zinc, cadmium and mercury are welcome. The journal also publishes studies relating to environmental aspects of these metals, their toxicology, release pathways and fate. Articles on the applications of main group metal chemistry, including in the fields of polymer chemistry, agriculture, electronics and catalysis, are also accepted.