Topological Indices Over Nonzero Component Graph of a Finite Dimensional Vector Space

TL;DR

This paper explores degree-based topological indices on the nonzero component graph of a finite-dimensional vector space, extending algebraic graph theory concepts.

Contribution

It introduces the study of topological indices on derived graphs of the nonzero component graph, a recent concept in algebraic graph theory.

Findings

Computed degree-based topological indices for the nonzero component graph

Analyzed properties of derived graphs of the nonzero component graph

Extended algebraic graph theory with new topological measures

Abstract

The study of graphs associated with of various algebraic structures is an emerging topic in algebraic graph theory. Recently, the concept of nonzero component graph of a finite dimensional vector space $\Gamma(\mathbb{V})$ was put forward by Das \cite{5}. In this paper, we study some degree based topological indices over $\Gamma(\mathbb{V})$ the derived graphs of $\Gamma(\mathbb{V})$.