The two-point resistance of a resistor network: a new formulation and application to the cobweb network

被引：92

作者：

Izmailian, N. Sh ^{[1
,2
]}

Kenna, R. ^{[1
]}

Wu, F. Y. ^{[3
]}

机构：

[1] Coventry Univ, Appl Math Res Ctr, Coventry CV1 5FB, W Midlands, England

[2] Yerevan Phys Inst, Yerevan 375036, Armenia

[3] Northeastern Univ, Dept Phys, Boston, MA 02115 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2014年 / 47卷 / 03期

关键词：

resistor network; spanning tree; SPANNING-TREES;

D O I：

10.1088/1751-8113/47/3/035003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the problem of two-point resistance in a resistor network previously studied by one of us (Wu 2004 J. Phys. A: Math. Gen. 37 6653). By formulating the problem differently, we obtain a new expression for the two-point resistance between two arbitrary nodes which is simpler and can be easier to use in practice. We apply the new formulation to the cobweb resistor network to obtain the resistance between two nodes in the network. Particularly, our results prove a recently proposed conjecture on the resistance between the center node and a node on the network boundary. Our analysis also solves the spanning tree problem on the cobweb network.

引用

页数：10

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