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k-Coloring

k-Coloring. k-coloring: A k-coloring of a graph G is a labeling f: V(G) ?S, where |S|=k. The labels are colors; the vertices of one color form a color class. Proper k-coloring: A k-coloring is proper if adjacent vertices have different labels.

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Definition 7.1.3

Definition 7.1.3. k-edge-coloring of G: A labeling f: E(G) -> S, where |S| =k. The labels are colors; the edges of one color form a color class. proper k-edge-coloring: A k-edge-coloring such that incident edges have different labels.

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Edge uv - PowerPoint PPT Presentation

k-Coloring

Definition 7.1.3