Question: 4. (25 points) Claim: Let G be a graph on n nodes, where n is an even number. If every node of has degree at

4. (25 points) Claim: Let G be a graph on n

4. (25 points) Claim: Let G be a graph on n nodes, where n is an even number. If every node of has degree at least n/2, then G is con- nected. Decide whether the above claim is true or false, and give a proof of either the claim or a counter example

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