Question: Suppose we are given a graph G = (V, E), and we want to color each node with one of three colors. An edge (u,

Suppose we are given a graph G = (V, E), and

Suppose we are given a graph G = (V, E), and we want to color each node with one of three colors. An edge (u, v) is satisfied if the colors assigned to u and v are different. Consider a 3-coloring that maximizes the number of satisfied edges, and let c* denote this number. Give a polynomial-time randomized algorithm whose expected number of edges it satisfied should be at least 2/3c*

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