Question: Prove that for each n Z+ there exists a loop-free connected undirected graph G = (V, E), where |V| = 2n and which has

Prove that for each n ∈ Z+ there exists a loop-free connected undirected graph G = (V, E), where |V| = 2n and which has two vertices of degree i for every 1 ≤ i ≤ n.

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