Computation of Some Fundamental Topological Indices for the Line Graph of M-Subdivision of Triangular Oxide Network (TOX)

Abstract

Afascinating field of study in graph theory is the investigation of topological invariants for the line graph of m-subdivision of Triangular Oxide Network (TOX). This abstract seeks to identify basic traits that can be utilized to differentiate and categorize this structure by examining the intrinsic qualities of this line graph. To understand the complexity and con nectivity of this line graph, topological invariants such the chromatic number, girth, and connectedness are investigated. In order to reveal further structural details, algebraic invari ants like the spectrum and eigenvalues are also investigated. The findings of this study not only advance our knowledge of the Triangular Oxide Network but also have the potential to influence a number of disciplines where accurate characterization of complex systems is crucial, such as computational chemistry, materials science, and network analysis.