caa a22 4500 445830611 CHVBK 20180317145314.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s10255-011-0091-9 doi (NATIONALLICENCE)springer-10.1007/s10255-011-0091-9 Potential distribution on random electrical networks [Elektronische Daten] [Da-qian Qian, Xiao-dong Zhang] Let N = (G, c) be a random electrical network obtained by assigning a certain resistance for each edge in a random graph G ∈ $\mathbb{G}$ (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. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg, 2011 Electrical network nationallicence potential distribution nationallicence random graphs nationallicence Qian Da-qian Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road, 200240, Shanghai, China aut Zhang Xiao-dong Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road, 200240, Shanghai, China aut Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/3(2011-07-01), 549-559 0168-9673 27:3<549 2011 27 10255 https://doi.org/10.1007/s10255-011-0091-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10255-011-0091-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Qian Da-qian Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road, 200240, Shanghai, China aut NATIONALLICENCE 700 1- Zhang Xiao-dong Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road, 200240, Shanghai, China aut NATIONALLICENCE 773 0- Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/3(2011-07-01), 549-559 0168-9673 27:3<549 2011 27 10255 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer