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    On vertex symmetric digraphs

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    AbstractIt is proved that if p is a prime, k and m⩽p are positive integers, and I is a vertex symmetric diagraph of order pk or mp, then Γ has an automorphism all of whose orbits have cardinality p. Vertex symmetric graphs of order 2p such that 2p−1 is not the square of a composite integer and vertex symmetric digraphs of order pk are characterised
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