On irregularity integral Sombor indices: theory and chemical applications

Let G=(V(G),E(G)) be a simple graph and denote by du the degree of the vertex u¿V(G). Using a geometric approach, Gutman introduced a new vertex-degree-based topological index, defined as (Formula presented.) 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 geometric point of view, called irregularity integral Sombor indices, that generalize the Sombor index. Also, we study the application of these indices in QSPR/QSAR research.

On irregularity integral Sombor indices: theory and chemical applications Articles