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Doubly regular asymmetric digraphs
1988
Discrete Mathematics
Remark. The case where the equality holds in Proposition 1 corresponds to the case of' Hadamard tournaments. For this see [ 1, 4 and 61. Proposition 2. D is strongly connected. Proof. Let a be any vertex and C(a) the set of vertices to which there exist (directed) paths from a. By the definition of a DRAD it is easy to see that (i) there exists a vertex a such that C(u) = V and (ii) V = {a E V; C(a) = V}. Ei Proposition 3. Let a be any vertex, N:(u) the set of vertices whose distance from a
doi:10.1016/0012-365x(88)90208-7
fatcat:sh2mc77g5bg6raomxxlpc5bn7y