Question: A k-colored graph is an undirected graph G = (V,E) where each edge is assigned one of the k colors from 1, ..., k. (i)

A k-colored graph is an undirected graph G = (V,E) where each edge is assigned one of the k colors from 1, ..., k. (i) A path from veterx u to vertex v in G is called monochromatic if all the edges in the path have the same color. Given a k-colored graph G = (V, E) and a pair of vertices (u, v), provide an efficient algorithm to determine whether there is a monochromatic path from u to v in G and analyze the time complexity of your algorithm in terms of |V|,|E| and k. 8

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