Topological indices of k-th subdivision and semi total point graphs

TL;DR

This paper derives exact formulas for topological indices of k-th subdivision and semi total point graphs, generalizing previous concepts in graph theory to provide tools for analyzing complex graph structures.

Contribution

It introduces explicit expressions for topological indices of generalized subdivision and semi total point graphs, extending existing graph theory frameworks.

Findings

Derived formulas for topological indices of k-th subdivision graphs

Extended topological index calculations to semi total point graphs

Generalized classical graph concepts for k ≥ 1

Abstract

Graph theory has provided a very useful tool, called topological indices which are a number obtained from the graph $G$ with the property that every graph $H$ isomorphic to $G$, value of a topological index must be same for both $G$ and $H$. In this article, we present exact expressions for some topological indices of k-th subdivision graph and semi total point graphs respectively, which are a generalization of ordinary subdivision and semi total graph for $k\ge 1$.