In this exercise we will develop an algorithm to find the

Chapter , Problem 47E

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In this exercise we will develop an algorithm to find the strong components of a directed graph G = (V, E). Recall that a vertex w ? V is reachable from a vertex v ? V if there is a directed path from v to w.a)Explain how to use breadth-first search in the directed graph G to find all the vertices reachable from a vertex v ? G.________________b) Explain how to use breadth-first search in Gconv to find all the vertices from which a vertex v ? G is reachable. (Recall that Gconv is the directed graph obtained from G by reversing the direction of all its edges.)________________c) Explain how to use parts (a) and (b) to construct an algorithm that finds the strong components of a directed graph G, and explain why your algorithm is correct.

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