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Vertex critical 4-dichromatic circulant tournaments. (English) Zbl 0876.05039
Summary: An infinite family of vertex critical 4-dichromatic circulant tournaments is presented, answering a problem posed by V. Neumann-Lara and J. Urrutia [Discrete Math. 49, 83-87 (1984; Zbl 0532.05031)].

MSC:
05C20 Directed graphs (digraphs), tournaments
05C15 Coloring of graphs and hypergraphs
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References:
[1] Erdös, P., Problems and results in number theory and graph theory, (), 3-21
[2] H. Meyniel, Extension du nombre chromatique et du nombre de stabilité, Preprint.
[3] Neumann-Lara, V., The dichromatic number of a digraph, J. combin. theory ser. B, 33, 265-270, (1982) · Zbl 0506.05031
[4] Neumann-Lara, V., The 3 and 4-dichromatic tournaments of minimum order, Discrete math., 135, 233-243, (1994) · Zbl 0829.05028
[5] Neumann-Lara, V.; Urrutia, J., Vertex critical r-dichromatic tournaments, Discrete math., 40, 83-87, (1984) · Zbl 0532.05031
[6] Reid, K.B.; Parker, E.T., Disproof of a conjecture of Erdös and Moser on tournaments, J. combin. theory, 9, 225-238, (1970) · Zbl 0204.24605
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