70 citations · 239 across the 8 of their papers we have counts for
4 papers · 1 filter
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…
Asymmetric Exclusion Model and Weighted Lattice Paths
R. Brak, J. Essam
We show that the known matrix representations of the stationary state algebra of the Asymmetric Simple Exclusion Process (ASEP) can be interpreted combinatorially as various weight…