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(a) Prove that there does not exist a graph with 5 vertices with degree equal to...

(a) Prove that there does not exist a graph with 5 vertices with degree equal to 4,4,4,4,2.

(b) Prove that there exists a graph with 2n vertices with degrees 1,1,2,2,3,3,..., n-1,n-1,n,n.

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