On electric resistances for distance-regular graphs

Understand

We investigate the behavior of electric potentials on distance-regular graphs, and extend some results of a prior paper.

• Our main result, Theorem 4, shows(together with Corollary 3) that if distance is measured by the electric resistance between points then all points are close to being equidistant on a distance-regular graph with large valency.
• A number of auxiliary results are also presented.