Automorphism group of a family of distance regular graphs which are not distance transitive

Angsuman Das, S. Morteza Mirafzal

Let $G_n={\mathbb{Z}}_n\times {\mathbb{Z}}_n$ for $n\ge 4$ and $S=\{(i,0),(0,i),(i,i):1\le i\le n-1\}\subset G_n$. Define $\Gamma (n)$ to be the Cayley graph of $G_n$ with respect to th…