Question 13. Prove that if k is odd and G is a k-regular (k - 1)-edge-connected graph, then G has a perfect matching Question 13. Prove that if k is odd and G is a k-regular (k - 1)-edge-connect...

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Question 13. Prove that if k is odd and G is a k-regular (k - 1)-edge-connected graph, then G has a perfect matching

Answer 1

Answer #1

I have assumed in the question that number of vertices of G is even, because if not, a clear counterexample is $K_3$ .

1녀, s-an clain Eveyodd Conneced componant G sends alleast k edgus to S Psoof: B the conictivity assumption on G Ihe er enly s

Please upvote the answer.

Answer 2

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