6-coloring Algorithm

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6-coloring Algorithm. ALGORITHM 6 COLOR. More speci cally we obtain a deterministic Ologn time. Algorithm 4 6-Color 1. Assume that initially the nodes have IDs of size logn bits 2. The root assigns itself the label 0 3.

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Send own color c v to all children 5. The root assigns itself the label 0 3. Color the rest of the graph with a recursive call to Kempes algorithm. Algorithm 4 6-Color 1. ALGORITHM 6 COLOR.

Send own color c v to all children 5.

The root assigns itself the label 0 3. Kempes graph-coloring algorithm To 6-color a planar graph. Every planar graph has at least one vertex of degree 5. The root assigns itself the label 0 3. Color the rest of the graph with a recursive call to Kempes algorithm. Given an n vertex planar graph G in adjacency list form this algorithm determines a 6-coloring of G. Assume that initially the nodes have IDs of size logn bits 2. ALGORITHM 6 COLOR.

Send own color c v to all children 5. ALGORITHM 6 COLOR. Assume that initially the nodes have IDs of size logn bits 2. Each other node v executes the following code 4. Kempes graph-coloring algorithm To 6-color a planar graph.