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Problem 12.9. In a regular bipartite graph every vertex has the same degree. Prove: (a) The number of left and right-vertices are equal. (b) Some

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Problem 12.9. In a regular bipartite graph every vertex has the same degree. Prove: (a) The number of left and right-vertices are equal. (b) Some matching covers the left-vertices. [Hint: Hall's theorem.]

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