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Pancyclic out-arcs of a vertex in tournaments. (English) Zbl 0939.05045
The authors show that every non-trivial strong tournament contains a node $$v$$ such that every arc leading away from $$v$$ is pancyclic. This extends a result of C. Thomassen [J. Comb. Theory, Ser. B 28, 142-163 (1980; Zbl 0435.05026)].

##### MSC:
 05C20 Directed graphs (digraphs), tournaments 05C38 Paths and cycles
##### Keywords:
tournament; arc; pancyclic
Full Text:
##### References:
 [1] Alspach, B., Cycles of each length in regular tournaments, Canad. math. bull., 10, 283-286, (1967) · Zbl 0148.43602 [2] Goldberg, M.; Moon, J.W., Cycles in $$k$$-strong tournaments, Pacific J. math., 40, 89-96, (1972) · Zbl 0207.23003 [3] Moon, J.W., On subtournaments of a tournament, Canad. math. bull., 9, 297-301, (1966) · Zbl 0141.41204 [4] Thomassen, C., Hamiltonian-connected tournaments, J. combin. theory ser. B, 28, 142-163, (1980) · Zbl 0435.05026
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