Geodesic
Completely regular graphs with $\mu\le k-2b_1+3$
Trudy Instituta matematiki, Tome 16 (2008) no. 1, pp. 28-39.

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Let $\Gamma$ be a connected edge regular graph with parameters $(v,k,\lambda)$ and $b_1=k-\lambda-1$. Then for every vertices $u,w$ with $d(u,w)=2$ the parameter $\mu(u,w)=k-2b_1+1$, where $1\le x\le2b_1$. In the paper completely regular graphs with $x\le 3$ are classified. 
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K. S. Efimov; A. A. Makhnev. Completely regular graphs with $\mu\le k-2b_1+3$. Trudy Instituta matematiki, Tome 16 (2008) no. 1, pp. 28-39. http://geodesic.mathdoc.fr/item/TIMB_2008_16_1_a5/

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