On integral Sombor indices

Let G = (V(G), E(G)) be a simple graph and denote by du the degree of the vertex u is an element of V(G). Using a geometric approach, I. Gutman introduced a new vertex-degree-based topological index, defined as [GRAPHICS] . and named Sombor index. It is a molecular descriptor with an impressive research activity in recent years. In this paper we propose and initiate the study of a family of topological indices, also conceived from a geometrical point of view, called integral Sombor indices, that generalize the Sombor index. Also, we study the application of these indices in QSPR/QSAR research. (c) 2023 Elsevier Inc. All rights reserved.

Automated summary

This paper introduces a topological index called the Sombor index, which is a molecular descriptor that has received considerable research attention in recent years. The paper also proposes a family of topological indices called integral Sombor indices, which generalize the Sombor index, and explores their application in QSPR/QSAR research.