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(a) Let G = ( (W,B), E) be a bipartite graph. Explain why W is a vertex-cover of G.

(b) Analogously, it can be shown that B is a vertex-cover of G. Is W or B always the minimum vertex-cover of G?

If your answer is yes, explain why.

If your answer is no, give a bipartite graph G = ( (W,B), E) where neither W nor B is a minimum vertex-cover. Give a vertex-cover Q different from W and B, and a matching M to show that Q is minimum.

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