On extremal Sombor index of trees with a given dissociation number $\varphi$
Combinatorics
2025-08-12 v2
Abstract
The Sombor index is a topological index in graph theory defined by Gutman in 2021. In this article, we find the maximum Sombor index of trees of order with a given dissociation number , where . We also provide the unique graph among the chosen class where the maximum Sombor index is attained.
Cite
@article{arxiv.2212.10045,
title = {On extremal Sombor index of trees with a given dissociation number $\varphi$},
author = {Joyentanuj Das},
journal= {arXiv preprint arXiv:2212.10045},
year = {2025}
}