On irregularity integral Sombor indices: theory and chemical applications
Journal
Journal of Mathematical Chemistry
ISSN
0259-9791
Date Issued
2025-12-04
Author(s)
Ricardo Abreu Blaya
Jorge Batanero
José M. Rodríguez
José M. Sigarreta
Abstract
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.
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.