72 citations · 258 across the 6 of their papers we have counts for
6 papers
Recursion-transform method on computing the complex resistor network with three arbitrary boundaries
Zhi-Zhong Tan
We perfect the recursion-transform method to be a complete theory, which can derive the general exact resistance between any two nodes in a resistor network with several arbitrary…
Comparison of methods to determine point-to-point resistance in nearly rectangular networks with application to a hammock network
John W. Essam, Nikolay Sh. Izmailyan, Ralph Kenna +1
Considerable progress has recently been made in the development of techniques to exactly determine two-point resistances in networks of various topologies. In particular, two types…
Two-point resistance of a cobweb network with a boundary
Zhi-Zhong Tan
We consider the problem of two point resistance on an cobweb network with a 2r boundary which has never been solved before. Past efforts prior to 2014 researchers just…
Resistance between two nodes in general position on an fan network
J. W. Essam, Zhi-Zhong Tan, F. Y. Wu
The resistance between two nodes in general position on a fan network with n radial lines and m transverse lines is determined. Also a similar result of Izmailian, Kenna and Wu [7]…
The two-point resistance of a cobweb with a superconducting boundary
Zhi-Zhong Tan, J. W. Essam, F. Y. Wu
We consider the problem of two-point resistance on an m x n cobweb network with a superconducting boundary, which is topologically equivalent to a geographic globe. We deduce a con…
Proof and extension of the resistance formula for an m x n cobweb network conjectured by Tan, Zhou and Yang
J. W. Essam, Zhi-Zhong Tan, F. Y. Wu
An m x n cobweb network consists of n radial lines emanating from a center and connected by concentric n-sided polygons. A conjecture of Tan, Zhou and Yang for the resistance f…