Domination Version: Sombor Index of Graphs and Its Significance in Predicting Physicochemical Properties of Butane Derivatives

Abstract

In graph theory, topological indices and domination parameters are essential topics. A dominating set for a graph G=(V(G),E(G)) is a subset D of V(G) such that every vertex not in D is adjacent to at least one vertex of D introduced novel topological indices known as domination topological indices. In this research work, we found exact values to determine Sombor index of some families of graphs including the join and corona product. Some bounds for these new topological indices were also found. Likewise, we defined the significance of the Sombor index in predicting the physicochemical properties of butane derivatives. Copyright © 2023 by SPC.