Question: Let G = (V, E) be a weighted, directed graph that contains no negative-weight cycles. Let s V be the source vertex, and let

Let G = (V, E) be a weighted, directed graph that contains no negative-weight cycles. Let s ∈ V be the source vertex, and let G be initialized by INITIALIZE-SINGLE-SOURCE (G, s). Prove that there exists a sequence of |V| − 1 relaxation steps that produces ν.d = δ(s, ν) for all ν ∈ V.

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