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Let G = (V, E) be a directed graph in which each vertex u V is labeled with a unique integer L(u)from the set{1,2,...,|V|}. For
Let G = (V, E) be a directed graph in which each vertex u V is labeled with a unique integer L(u)from the set{1,2,...,|V|}. For each vertex uV ,letR(u)={ vV | u reaches v} be the set of vertices that are reachable from u. Define min(u) to be the vertex in R(u) whose label is minimum, i.e. min(u) is the vertex v such that L(v) = min{L(w)| W R(u)}. Give an O(|V | + |E|)-time algorithm that computes min(u) for all vertices u V . Explain clearly.
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