Question: P2) Let G be a d-regular bipartite graph on vertex set A x B with A| = B . This means every vertex (in both

P2) Let G be a d-regular bipartite graph on vertex set A x B with A| = B . This means every vertex (in both A and B) has degree d. Prove that G has a perfect matching. Hint: count in two ways the number of edges between S and N(S).]

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