Abstract

Topological index sometimes called molecular descriptor is a numerical value which associates a chemical composition for correlating chemical structure with numerous physical properties, chemical reactivity, or biological activity. In this paper, we study some topological indices of boron and try to correlate the physicochemical properties such as freezing points, boiling points, melting points, infrared spectrum, electronic parameters, viscosity, and density of chemical graphs. We discuss these topological indices, and some of them are mentioned here such as Randic index, the first general Zagreb index, the general sum connectivity index, hyper-Zagreb index (HM), the atom-bond connectivity index (ABC), the geometric-arithmetic index (GA), the harmonic index (H), and the forgotten index (F).

Highlights

  • Introduction and ApplicationsA chemical graph theory is an outlet of mathematical chemistry which applied graph theory to the molecular structure of chemical compounds

  • Topological index is a part of chemical graph theory which correlates the physicochemical properties such as freezing point, boiling point, melting point, infrared spectrum, electronic parameters, viscosity, and density of the underlying chemical graphs. e reader can find bulk of papers on topological indices which have been in print so far [1,2,3,4,5]

  • One of the most investigated categories of topological indices used in mathematical chemistry is called degree-based topological indices, which are defined in terms of the degrees of the vertices of a graph

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Summary

Introduction

Introduction and ApplicationsA chemical graph theory is an outlet of mathematical chemistry which applied graph theory to the molecular structure of chemical compounds. Wiener index is defined as the sum of distances among all the sets of vertices in G [6]. E geometric-arithmetic index denoted by GA for graph G is presented by GA(G) 􏽘 2 drds.

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