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About: Oriented coloring     Goto   Sponge   NotDistinct   Permalink

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In graph theory, oriented graph coloring is a special type of graph coloring. Namely, it isan assignment of colors to vertices of an oriented graph that * is proper: no two adjacent vertices get the same color, and * is consistently oriented: if vertices and have the same color, and vertices and have the same color, then and cannot both be edges in the graph. Equivalently, an oriented graph coloring of a graph G is an oriented graph H (whose vertices represent colors and whose arcs represent valid orientations between colors) such that there exists a homomorphism from G to H.