On extremal Sombor index of trees with a given independence number α
Abstract
The Sombor index is a topological index in graph theory defined by Gutman in 2021. In this paper, we find the maximum Sombor index of trees of order [Formula: see text] with a given independence number [Formula: see text], where [Formula: see text]. We also provide the unique graph among the chosen class where the maximum Sombor index is attained.
Fields of Study & Subjects
Graph theory and applications
Synthesis and Properties of Aromatic Compounds
Advanced Graph Theory Research
Publication details
- Journal / source
- Discrete Mathematics Algorithms and Applications
- Publisher
- World Scientific Pub Co Pte Ltd
- Publication date
- 15 May 2026
- Language
- EN