Double图的Kirchhoff指标

The Kirchhoff Index of Double Graph

一个图的Kirchhoff指标定义为Kf(G)=∑ni=1∑nj=1rij/2,其中rij是顶点vi和vj之间的电阻距离.首先得到了一个图的Kirchhoff指标与其double图的Kirchhoff指标之间的关系式,然后利用此关系式分别确定了具有前三大和前三小Kirchhoff指标的double树.

The Kirchhoff index of a graph G is defined as Kf（ G） = ∑ni = 1∑nj = 1rij/2 where rijis the resistance distance between viand vj. In this paper,a relation between the Kirchhoff index of a graph and that of its double graph was obtained,then using this relation the double trees with the first three maximum and minimum values of Kirchhoff index respectively were determined.