Abstract

Graph theory has much great advances in the field of mathematical chemistry. Chemical graph theory has become very popular among researchers because of its wide applications in mathematical chemistry. The molecular topological descriptors are the numerical invariants of a molecular graph and are very useful for predicting their bioactivity. A great variety of such indices are studied and used in theoretical chemistry, pharmaceutical researchers, in drugs and in different other fields. In this article, we study the chemical graph of an oxide network and compute the total eccentricity, average eccentricity, eccentricity based Zagreb indices, atom-bond connectivity (ABC) index and geometric arithmetic index of an oxide network. Furthermore, we give analytically closed formulas of these indices which are helpful in studying the underlying topologies.

Highlights

  • Graph theory is a branch of mathematics that has a lot of applications in computer science, electrical systems, interconnected systems, biological networks, and in chemistry.Chemical graph theory is the rapidly developing zone among chemists and mathematicians

  • Cheminformatics is a comparatively new subject, which is a combination of chemistry, mathematics and information science

  • In this article, we extend the study of chemical graph theory to compute the total eccentricity, average eccentricity, eccentricity-based Zagreb indices, atom-bond connectivity (ABC) index and geometric arithmetic index of oxide network

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Summary

Introduction

Graph theory is a branch of mathematics that has a lot of applications in computer science, electrical systems (network), interconnected systems (network), biological networks, and in chemistry. Chemical graph theory is the rapidly developing zone among chemists and mathematicians. Chemical graph theory helps us to predict the certain physico-chemical properties of chemical compounds by just considering their pictorial representations [1,2]. Cheminformatics is a comparatively new subject, which is a combination of chemistry, mathematics and information science. There is a considerable usage of graph theory in theoretical and computational chemistry. Chemical graph theory is the topology branch of mathematical chemistry which implements graph theory to mathematically model chemical occurrences. A few references are given that demonstrate the significance of graph theory in Mathematical Chemistry [3,4]

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