Two-arc-transitive two-valent digraphs of certain orders
Keywords:Graph, digraph, arc-transitive, order.
AbstractThe topic of this paper is digraphs of in-valence and out-valence 2 that admit a 2-arc-transitive group of automorphisms. We classify such digraphs that satisfy certain additional conditions on their order. In particular, a classification of those with order kp or kp2 where k ≤ 14 and p is a prime can be deduced from the results of this paper.
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