Neighborhood Number-Based Topological Indices of Graphene

Abstract

The study of topological indices prompted mathematicians to venture into mathematical chemistry, specifically chemical graph theory. They are quantitative measures that reflect the topology of the molecular graph of a compound, without taking into account of any information about the chemical bonds or the atom positions. Graphene is a monolayer carbon allotrope that is tightly bound in a hexagonal honeycomb lattice. It is an eco-friendly compound and a sustainable solution for almost countless applications. In this paper, we estimate three neighborhood number-based topological indices; Mostar index, PI index and Szeged index of Graphene structure, considering all possible cases in the number of rows and hexagons. The results are obtained and corresponding graphs are plotted along with the contour plot.