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A clique in a graph is a subset of vertices all pairs of which are connected by an edge. For example, a clique of 5

A clique in a graph is a subset of vertices all pairs of which are connected by an edge. For example, a clique of 5 vertices contains 10 edges. For graph G = (V, E), you wish to partition V into as few cliques as possible. Model this problem as an integer programming.

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