Potential Distribution on Random Electrical Networks

被引：0

作者：

Daqian Qian Xiaodong Zhang Department of Mathematics Shanghai Jiao Tong University Dongchuan Road Shanghai China ^{[800
,200240
]}

机构：

来源：

ActaMathematicaeApplicataeSinica(EnglishSeries) | 2011年 / 27卷 / 03期

关键词：

Electrical network; potential distribution; random graphs;

D O I：

暂无

中图分类号：

O157.5 [图论];

学科分类号：

070104 ;

摘要：

Let N = (G, c) be a random electrical network obtained by assigning a certain resistance for each edge in a random graph G ∈ G(n, p) and the potentials on the boundary vertices. In this paper, we prove that with high probability the potential distribution of all vertices of G is very close to a constant.

引用

页码：549 / 559

页数：11

共 5 条

[1] THE DIRICHLET TO NEUMANN MAP FOR A RESISTOR NETWORK [J].