The extremal Sombor index of trees with a given dissociation number $\varphi$

	The extremal Sombor index of trees with a given dissociation number $\varphi$
Communications in Combinatorics and Optimization
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 14 تیر 1405
نوع مقاله: Original paper
شناسه دیجیتال (DOI): 10.22049/cco.2026.30982.2691
نویسنده
Joyentanuj Das^*
Department of Mathematics, College of Engineering and Technology SRM Institute of Science and Technology, Kattankulathur, Chennai 603203, India
چکیده
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 $\mathbf{n}$ with a given dissociation number $\varphi$, where $\ceil*{\frac{2\mathbf{n}}{3}} \leq \varphi(G) \leq \mathbf{n}-1$. We also provide the unique graph among the chosen class where the maximum Sombor index is attained.
کلیدواژه‌ها
Trees؛ Sombor index؛ Dissociation number

آمار تعداد مشاهده مقاله: 3

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