A self-stabilizing algorithm for coloring planar graphs
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This paper describes an algorithm for coloring the nodes of a planar graph with no more than six colors using a self-stabilizing approach. The first part illustrates the coloring algorithm on a directed acyclic version of the given planar graph. The second part describes a selfstabilizing algorithm for generating the directed acyclic version of the planar graph, and combines the two algorithms into one.
Key wordsSelf-stabilization Distributed algorithm-Graph coloring Directed acyclic graph Atomicity
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- 1.Appel K, Haken W. Every planar map is four-colorable. Am Math Soc 98 (1989).Google Scholar
- 2.Chiba N, Nishizeki T, Saito N: A linear algorithm for fivecoloring of a planar graph. Proc 17th Symp of Research Institute of Electrical Communication (1980)Google Scholar
- 3.Dijkstra EW: Self-stabilizing system in spite of distributed control. Commun ACM 17(11):643–644 (1974)Google Scholar
- 4.Dijkstra EW: A belated proof of self-stabilization. Distrib Comput 1(1):5–6 (1986)Google Scholar
- 5.Harary F: Graph theory. Addison-Wesley, Reading, Mass., 1969Google Scholar
- 6.He Xin: Eficient parallel and sequential algorithms for 4-coloring perfect planar graphs. Algorithmica 5:545–559 (1990)Google Scholar