Computing Some Eccentricity-Based Topological Indices of Para-Line Graphs of Hexagonal Cactus Chains

Abstract

Let G=(V(G),E(G)) be a simple molecular graph without directed and multiple edges and without loops. Graph theory has become an important component of the chemical mathematics, and it has become one of the most powerful mathematical tools in the analysis and study of the architecture of a chemical network. It studies of descriptors in quantitative structure-property relationship (QSPR) and quantitative structure-activity relationship (QSAR) studies in the chemistry science. There are a lot of topological indices in QSPR/QSAR studies. In this paper, some eccentricity-based topological indices namely the eccentric connectivity index xi(c)(G), the modified eccentric connectivity index xi(c)(G), the total eccentricity index xi(G), the second Zagreb eccentricity index M1**(G) and the average eccentricity index avec(G) are computed for the para-line graphs of some hexagonal cactus chains namely the para-chain L-n, the ortho-chain On and the meta-chain M-n.