Question: For all k Z+ where k 2, prove that there exists a loop- free connected undirected graph G = (V, E), where |V|

For all k ∈ Z+ where k ≥ 2, prove that there exists a loop- free connected undirected graph G = (V, E), where |V| = 2k and deg(v) = 3 for all v ∈ V.

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