Geodesic
On separated graphs with certain regularity conditions
Sbornik. Mathematics, Tome 187 (1996) no. 10, pp. 1487-1501 Cet article a éte moissonné depuis la source Math-Net.Ru

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Two theorems are proved in this paper. Theorem I describes the connected $\mu$-regular graphs without 3-claws. Necessary and sufficient conditions for a connected amply regular graph with $\mu >1$ to be separated are obtained in Theorem 2. A graph $\Gamma$ is said to be separated if for any vertex $a$ in $\Gamma$ the subgraph $\Gamma _2(a)$ contains vertices $b$ and $c$ at a distance 2 in $\Gamma _2(a)$, and the $\mu$-subgraph for any such pair does not intersect the neighbourhood of $a$. 
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}
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V. V. Kabanov; A. A. Makhnev. On separated graphs with certain regularity conditions. Sbornik. Mathematics, Tome 187 (1996) no. 10, pp. 1487-1501. http://geodesic.mathdoc.fr/item/SM_1996_187_10_a3/

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