Sombor indices of Silicon Carbide Graphs

TL;DR

This paper calculates and compares various Sombor indices, including the Sombor, decreasing Sombor, and mean Sombor indices, for silicon-carbide structures, contributing to chemical graph theory applications.

Contribution

It introduces the calculation and comparison of multiple Sombor indices specifically for silicon-carbide structures, expanding the application of degree-based topological indices.

Findings

Calculated Sombor index for silicon-carbide structures

Compared decreasing and mean Sombor indices

Provided insights into the topological properties of silicon-carbide graphs

Abstract

Using inequalities is a good way of studying topological indices. Chemical graph theory is one of the nontrivial applications of graph theory. In this paper, we examine and calculate another degree-based topological index for silicon-carbide structures. The Sombor index, which is a degree-based index, was introduced by Gutman in late 2020. In this paper, we first calculate and compare the Sombor index, then the decreasing Sombor index, and finally the mean Sombor index for a group of silicon-carbide structures.