图上算术结构的电阻距离矩阵

Resistance Distance Matrices of Arithmetic Structure on Graphs

一个简单连通图G的算术结构是一对正整数列向量d, r,满足(diag(d)-A)r=0,其中A为G的邻接矩阵。因此,对算术结构的电阻距离和电阻距离矩阵进行研究,并求出其电阻距离矩阵的逆。

The arithmetical structure of a simple connected graph G is a pair of positive integer sequence vectors d,r satisfying the condition of(diag(d)-A)r=0,where A is the adjacency matrix of G.Therefore,a research is to be carried out on the resistance distance matrix and the resistance distance matrix of arithmetic structure,thus obtaining the inverse of the resistance distance matrix..