Question: Let H be a graph and let n > | V ( H ) | be an integer. Suppose there is a graph on n

Let H be a graph and let n >|V (H)| be an integer. Suppose there is a graph on n vertices and m edges that does not contain a copy of H, and let k >(n^2 log n)/m. Show that the edges of complete graph with n can be colored with k colors such that there is no monochromatic copy of H.

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