k悬挂点树关于Randi指标的极图性质

Properties of the Extremal Randi Index Trees with k-Pendant Vertices

有机分子图G的Randi指标为R(G)=∑,(d(u)d(v))-1/2,其中d(u)表示G的顶点u的度,和式遍历G中所有边uv.本文研究n个顶点k个悬挂点的树关于Randi指标的极图性质.

The Randic index of an organic molecule whose molecular graph is G is the sum of the weights（d（u）d（v）_^1/2 of all edges uv of G, where d（u） denotes the degree of the vertex U of the molecular graph G.In this paper, we investigate some properties of the extremal Randic index trees with n vertices and k pendant vertices.