修正的广义Bethe树的Wiener和terminal Wiener指标（英文）

On the Wiener and terminal Wiener indices of modified generalized Bethe trees

一个连通图G的Wiener指标是指图G的所有顶点对的距离和,terminal Wiener指标是指图G的所有悬挂顶点对的距离和.本文研究了修正的广义Bethe树及两个修正的广义Bethe树的粘连图,并给出其Wiener和terminal Wiener指标.同时也估算了修正的广义dendrimer树的2个拓扑指标.

The Wiener index of a connected graph G is defined as the sum of distances between pairs of vertices. The terminal Wiener index of a connected graph G is defined as the sum of distances between pairs of pendant vertices. In this paper the Wiener and terminal Wiener indices of a modified generalized Bethe tree are obtained,the Wiener and terminal Wiener indices of the coalescence of two modified generalized Bethe trees at rooted vertices are also obtained. Meanwhile two topological indices for modified dendrimer trees are computed.