## 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

Zbl 0532.05031
Full Text:

### References:

 [1] Erdös, P., Problems and results in number theory and graph theory, (Proc. 9th Manitoba Conf. Numer. Math. and Computing (1979)), 3-21 [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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