Graph Colouring
2016-08-23
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We introduced graphics coloring and applications in previous posts. As discussed in the previous article, it is widely used in graph coloring. Unfortunately, there is no efficient algorithm for graph coloring with the minimum number of colors, since the problem is a known NP complete problem. There are approximate algorithms to solve this problem. Here is the basic greedy algorithm to specify colors. It doesn't guarantee the lowest color, but it guarantees the maximum number of colors. More basic algorithms for D + 1 colors are never used, where D is the maximum degree of a vertex in a given graph.
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