几类积图的Sombor指标

Sombor Index of Several Kinds of Product Graphs

Sombor指标是由Gutman在化学图论中引入的一种基于顶点度的新拓扑指标。文章讨论了路P_(n)与扇图Fm、轮图W_(m),轮图W_(n)与扇图F_(m)、轮图W_(m),扇图F_(n)与扇图Fm以及棒棒糖图N_(a,b)、杠铃图D_(a,b,c)和风筝图L_(a,b)与完全图K_(n)的笛卡尔积的Sombor指标,还研究了完全图、路、圈作直积、笛卡尔积、强积的Sombor指标,得出其确切的指标值以及关于积图的Sombor指标的关系式。

Sombor index is a new topological index based on vertex degree introduced by Gutman in Chemical Graph Theory.In this paper,Sombor indices of cartesian products of path Pn with fan graph F_(m)and wheel graph W_(m),wheel graph W_(n)with fan graph F_(m)and wheel graph W_(m),fan graph Fn with fan graph Fm,and lollipop graph N_(a,b),barbell graph D_(a,b,c)and kite graph L_(a,b)with complete graph K_(n)are discussed,Sombor indices of Direct products,Cartesian products and Strong products of complete graph,path and cycleare are also studied and the exact index values and some relations of sombor indices about product graph are obtained.