Problem

Parent-checking heuristic.Modify Bellman-Ford to visit a vertex v only if its SPT parent e...

Parent-checking heuristic.Modify Bellman-Ford to visit a vertex v only if its SPT parent edgeTo[v] is not currently on the queue. This heuristic has been reported by Cherkassky, Goldberg, and Radzik to be useful in practice. Prove that it correctly computes shortest paths and that the worst-case running time is proportional to EV.

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