The Calculations of Wiener μ-invariant and someTopological Indices on the Corona Graph

Kavi Rasool; Payman A. Rasheed

doi:10.24996/ijs.2023.64.6.35

Authors

Kavi Rasool Department of Mathimatics, Faculty of Scinece, Zakho University, Duhok, Iraq https://orcid.org/0000-0002-0199-1841
Payman A. Rasheed Department of Mathimatics, College of Basic Education, University of Salahaddin, Erbil, Iraq

DOI:

https://doi.org/10.24996/ijs.2023.64.6.35

Keywords:

Winer, Hyper Winer, Corona graph, Zagreb indices, Gourava indices, SK, 〖SK〗_1 and 〖SK〗_2 index

Abstract

A topological index, commonly referred to as a connectivity index, is a molecular structural descriptor that describes a chemical compound's topology. Topological indices are a major topic in graph theory. In this paper, we first define a new graph, which is a concept from the coronavirus, called a corona graph, and then we give some theoretical results for the Wiener and the hyper Wiener index of a graph, according to ( the number of pairs of vertices (u, v) of G that are at a distance . Moreover, calculate some topological indices degree-based, such as the first and second Zagreb index, , and index, and first and second Gourava index for the recent graph. In addition, we introduced a new topological index, the , which was inspired by the definition of the index.