A collection of results concerning electric resistance and simple random walk on distance-regular graphs

@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}
}
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