M-Polynomials and Degree-Based Topological Indices of the Molecule Copper(I) Oxide

Faryal Chaudhry,Mohammad Reza Farahani,Choonkil Park,Murat Cancan,Iqra Shoukat,Deeba Afzal,Teodorico C Ramalho

doi:10.1155/2021/6679819

Abstract

Topological indices are numerical parameters used to study the physical and chemical residences of compounds. Degree-based topological indices have been studied extensively and can be correlated with many properties of the understudy compounds. In the factors of degree-based topological indices, M-polynomial played an important role. In this paper, we derived closed formulas for some well-known degree-based topological indices like first and second Zagreb indices, the modified Zagreb index, the symmetric division index, the harmonic index, the Randić index and inverse Randić index, and the augmented Zagreb index using calculus.

Highlights

A graph that represents the construction of a molecule and their connectivity is known as a molecular graph, and such a representation is generally known as topological representations of molecule
Molecular graphs are normally characterized by means of exclusive topological basis for parallel of chemicals shape of a molecule with organic, chemical, or bodily homes
Study of graph has some programs of various topological indices in quantitative structure-activity relationship (QSAR) and quantitative structure-property relationship (QSPR), digital screenings, and computational drug designing citations as shown in [1, 2]. us far, several exclusive topological indices have been established, and maximum of them are most effective graph descriptors in [3, 4]; apart, some indices have proven their parallel with organic, chemical, or physical residences of secure molecules in [5,6,7,8,9,10,11,12,13,14,15,16,17]

Summary

Introduction

Distance primarily based topological indices unit works out a crucial task in a chemical graph started, in chemistry [18,19]. Degree-based topological indices were studied extensively and may be correlated with many residences of the understudy molecular compounds. Most commonly known invariants of such kinds are degree-based topological indices. Topological indices are sincerely the numerical values that relate the shape to one of a kind of physical residences, artificial reactivity, and natural biological activities [21,22].

Results

Conclusion