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Prove: If G is a Hamiltonian graph, then k(G - S) |S| for every nonempty proper subset S of V(G), where k(G S) is the

Prove:

If G is a Hamiltonian graph, then k(G - S) |S| for every nonempty proper subset S of V(G), where k(G S) is the number of components in G - S.

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