On bipartite distance-regular Cayley graphs with diameter $3$

Abstract

In this paper, we show that every bipartite distance-regular Cayley graph with diameter $3$ can be constructed on the semidirect product of a group and ${\mathbb{Z}}_2$, except possibly for one case.

arXiv commentThis one is a small part of the paper entitled as "On bipartite distance-regular Cayley graphs with small diameter" in arXiv