Potential Distribution on Random Electrical Networks  

作　　者：Da-qian Qian Xiao-dong Zhang 

机构地区：[1]Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240, China

出　　处：《Acta Mathematicae Applicatae Sinica》2011年第3期549-559,共11页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No.10531070 and 1091137);National Basic Research Program of China 973 Program (No. 2006CB805900);a grant of Science and Technology Commission of Shanghai Municipality (STCSM, No. 09XD1402500)

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.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.

关 键 词：Electrical network potential distribution random graphs 

分 类 号：O157.5[理学—数学] TP393[理学—基础数学]