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Research Article Open access CC BY 4.0

On Eccentric Adjacency index of Several Infinite Classes of Fullerenes

Reza Sharafdini, Maryam Safazadeh

Journal of Advances in Mathematics and Computer Science · pp. 1–11 · Published 7 Nov 2015

10.9734/BJMCS/2016/20567

Abstract

In theoretical chemistry, molecular structure descriptors are used for modeling physio-chemical, pharmacologic, toxicological, biological and other properties of chemical compound. The eccentric adjacency index of a graph G is defined as                                                                                                                                           where S(u) denotes sum of degrees of vertices adjacent to the vertex u and ε (u) is defined as the maximum length of any minimal path connecting u to any other vertex of G. Fullerenes are molecules in the form of cage-like polyhedra, consisting solely of carbon atoms bonded in a nearly spherical con guration. In this paper we calculate the eccentric adjacency index for several infinite classes of fullerenes.

Graph eccentricity eccentric adjacency index fullerenes.

Cited by 2

The eccentric adjacency index of unicyclic graphs and trees

Shehnaz Akhter, Rashid Farooq · Asian-European Journal of Mathematics · 2018

Properties of Entropy-Based Topological Measures of Fullerenes

Modjtaba Ghorbani, Matthias Dehmer, Frank Emmert-Streib · Mathematics · 2020

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