On Sombor Index of Graphs with a Given Number of Cut-Vertices
- Authors:Sakander Hayat, Ansar Rehman
- Publication Date:January 1, 2023
- Type:Journal Article
- DOI:10.46793/match.89-2.437H
- Publication On:Match
Abstract
Introduced by Gutman in 2021, the Sombor index is a novel graph-theoretic topological descriptor possessing potential applications in the modeling of thermodynamic properties of compounds. Let Hk n be the family of graphs on order n and k number of cutvertices having at least one cycle. In this paper, we present minimum Sombor indices of graphs in Hk n. The corresponding extremal graphs have been characterized as well.