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Let G be a bipartite graph and r ∈ Z>0. Prove that if G is r-regular,...

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Advance Math

Let G be a bipartite graph and r ∈ Z>0. Prove that if G isr-regular, then G has a perfect matching.

HINT:  Use the Marriage Theorem and the PigeonholePrinciple. Recall that G is r-regular means every vertex of G hasdegree

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To prove this result we will required two resultsResult 1Halls TheoremLet G be a bipartite graph with    See Answer
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