论文标题
在具有给定解离的树木的极端索姆伯索引上$φ$
On extremal Sombor index of trees with a given dissociation number $φ$
论文作者
论文摘要
SOMBOR索引是Gutman在2021年定义的图理论中的拓扑指数。在本文中，我们找到了$ \ Mathbf {n} $的最大Sombor索引指数，并具有给定的分离数$φ$，其中$ \ ceil*{\ frac*{\ frac {\ frac {2 \ mathbf {n} n} {g） \ Mathbf {n} -1 $。我们还提供了所选类中最大SOMBOR指数的独特图。
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 $φ$, where $\ceil*{\frac{2\mathbf{n}}{3}} \leq φ(G) \leq \mathbf{n}-1$. We also provide the unique graph among the chosen class where the maximum Sombor index is attained.
