Question: Suppose that a complete undirected graph G = (V, E) with at least 3 vertices has a cost function c that satisfies the triangle inequality.

Suppose that a complete undirected graph G = (V, E) with at least 3 vertices has a cost function c that satisfies the triangle inequality. Prove that c (u, ν) ≥ 0 for all u, ν ∈ V.

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