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| #9438410 in Books | Ashay Dharwadker | 2011-10-02 | Original language:English | PDF # 1 | 11.00 x.13 x8.50l,.33 | File type: PDF | 54 pages | The Vertex Coloring Algorithm|
We present a new polynomial-time algorithm for finding proper m-colorings of the vertices of a graph. We prove that every graph with n vertices and maximum vertex degree Delta must have chromatic number Chi(G) less than or equal to Delta+1 and that the algorithm will always find a proper m-coloring of the vertices of G with m less than or equal to Delta+1. Furthermore, we prove that this condition is the best possible in terms of n and Delta by explicitly constructing gr...
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