The Calculations of Topological Indices on Certain Networks

Abstract

It is one of the core problems in the study of chemical graph theory to study the topological index of molecular graph and the internal relationship between its structural properties and some invariants. In recent years, topological index has been gradually applied to the models of $\text{QSAR}$ and $\text{QSPR}$ . In this work, using the definition of the $\text{ABC}$ index, $\text{AZI}$ index, $\text{GA}$ index, the multiplicative version of ordinary first Zagreb index, the second multiplicative Zagreb index, and Zagreb index, we calculate the degree-based topological indices of some networks. Then, the above indices’ formulas are obtained.