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The Vertex Coloring Algorithm

Ashay Dharwadker




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 | #8486551 in Books |  2011-10-02 | Original language:English | PDF # 1 |  11.00 x.13 x8.50l,.33 | File type: PDF | 54 pages

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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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