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The number of pancyclic arcs in a \(k\)-strong tournament. (English) Zbl 1081.05041
An arc in a tournament \(T\) is pancyclic if it lies in directed cycles of all possible lengths, that is, length 3 through length the order of \(T\). The author obtains significant improvements on bounds for the number of pancyclic arcs in a \(k\)-strong tournament, and the maximum number of pancyclic arcs in a single Hamilton directed cycle of a \(k\)-strong tournament.

MSC:
05C20 Directed graphs (digraphs), tournaments
05C38 Paths and cycles
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