Fundamentals of Distributed Algorithms – Part 2
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SOLVED: Give a distributed algorithm to 6-color a planar graph: Assume the graph has n nodes and m edges. Your proof should be based on the following two steps: Use Euler's polyhedron formula (which states that if n ≥ 3 then m ≤ 3n - 6) to show that there is always a vertex of degree at most 5. Use the first part above to give the distributed coloring algorithm.
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