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Two-arc-transitive two-valent digraphs of certain orders. (English) Zbl 1351.05097
Summary: The 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 \(kp^{2}\) where \(k \leq 14\) and \(p\) is a prime can be deduced from the results of this paper.

MSC:
05C20 Directed graphs (digraphs), tournaments
05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
20B25 Finite automorphism groups of algebraic, geometric, or combinatorial structures
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