一些图的Sombor指标

Sombor Index for Some Graphs

摘要: Sombor指标是最近由Gutman引入的概念，是一种新的基于顶点度的拓扑指标，它是由表示，其中d_G(x_i)和d_G(x_j)分别表示顶点x_i和x_j在G中的度。这种新的拓扑不变量被应用于化学图论领域。本文研究了扇图、轮图、一种特殊的仙人掌图、蝴蝶结图、荷兰风车图、棒棒糖图、杠铃图和风筝图以及四角格子图、六角格子图等化学图的Sombor指标。

Abstract: Sombor index is a concept recently introduced by Gutman. It is a new topological index based on vertex degree and represented by , where d_G(x_i) and d_G(x_j) and degrees of vertices mean x_i and x_j in G. In this paper, this new topological index is applied in the area of chemical graph theory. In this paper, we study Sombor index of some chemi-cal graphs such as fan graphs, wheel graphs, special cactus graphs, bow graphs, dutch windmill graphs, lollipop graphs, barbell graphs, kite graphs quadrangular grid graphs and hexagonal grid graphs.