English

The two-point resistance of fan networks

Statistical Mechanics 2016-10-26 v1

Abstract

The problem of the two-point resistance in various networks has recently received considerable attention. Here we consider the problem on a fan-resistor network, which is a segment of the cobweb network. Using a recently developed approach, we obtain the exact resistance between two arbitrary nodes on such a network. As a byproduct, the analysis also delivers the solution of the spanning tree problem on the fan network.

Keywords

Cite

@article{arxiv.1401.4463,
  title  = {The two-point resistance of fan networks},
  author = {N. Sh. Izmailian and R. Kenna},
  journal= {arXiv preprint arXiv:1401.4463},
  year   = {2016}
}

Comments

10 pages, 1 figure