某些图的Sombor指数

IF 1.5 Q4 CHEMISTRY, MULTIDISCIPLINARY Iranian journal of mathematical chemistry Pub Date : 2021-02-20 DOI:10.22052/IJMC.2021.242106.1547

Nima Ghanbari, S. Alikhani

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引用次数: 17

摘要

设$G=(V,E)$是一个有限简单图。定义$G$的Sombor索引$SO(G)$为$sum_{uvin E(G)}sqrt{d_u^2+d_v^2}$，其中$d_u$是顶点$u$在$G$中的度数。本文研究了某些图的这一指标，并检验了当$G$被对$G$的顶点和边的操作所修改时，对$SO(G)$的影响。同时给出了两个图的联接和冕积的Sombor指数的界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Sombor index of certain graphs

Let $G=(V,E)$ be a finite simple graph. The Sombor index $SO(G)$ of $G$ is defined as $sum_{uvin E(G)}sqrt{d_u^2+d_v^2}$, where $d_u$ is the degree of vertex $u$ in $G$. In this paper, we study this index for certain graphs and we examine the effects on $SO(G)$ when $G$ is modified by operations on vertex and edge of $G$. Also we present bounds for the Sombor index of join and corona product of two graphs.

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