@article{Koolen2016ACO, title={A collection of results concerning electric resistance and simple random walk on distance-regular graphs}, author={Jacobus H. Koolen and Greg Markowsky}, journal={Discrete Mathematics}, year={2016}, volume={339}, pages={737-744} }

- Published 2016 in Discrete Mathematics
DOI:10.1016/j.disc.2015.10.012

In this paper, we prove a number of related results on distance-regular graphs concerning electric resistance and simple random walk. We begin by proving several results on electric resistance; in particular we prove a sharp constant bounding the ratio of electrical resistances between any two pairs of points and give a counterexample to a conjecture made… CONTINUE READING

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