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Lower bounds for the colored mixed chromatic number of some classes of graphs

Ruy Fabila MonroyD. FloresClemens HuemerA. Montejano — 2008

Commentationes Mathematicae Universitatis Carolinae

A colored mixed graph has vertices linked by both colored arcs and colored edges. The chromatic number of such a graph G is defined as the smallest order of a colored mixed graph H such that there exists a (color preserving) homomorphism from G to H . These notions were introduced by Nešetřil and Raspaud in , J. Combin. Theory Ser. B (2000), no. 1, 147–155, where the exact chromatic number of colored mixed trees was given. We prove here that this chromatic number is reached by the much simpler family...

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