An s-strong tournament with s>=3 has s+1 vertices whose out-arcs are 4-pancyclic

An arc in a tournament T with n ≥ 3 vertices is called k-pancyclic, if it belongs to a cycle of length l for all k ≤ l ≤ n. In this paper, we show that each s-strong tournament with s ≥ 3 contains at least s + 1 vertices whose out-arcs are 4-pancyclic.