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5. (20 points) Give a simple example of a connected graph such that the set of edges {(u, v): there exists a cut (S, V

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5. (20 points) Give a simple example of a connected graph such that the set of edges {(u, v): there exists a cut (S, V S) such that (u, v) is a light edge crossing (S, V S)} does not form a minimum spanning tree

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