Reachability Let G D .V; E/ be a directed graph in which

Chapter 22, Problem 22-4

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Reachability Let G D .V; E/ be a directed graph in which each vertex u 2 V is labeled with a unique integer L.u/ from the set f1; 2; : : : ; jV jg. For each vertex u 2 V , let R.u/ D f 2 V W u g 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 such that L./ D min fL.w/ W w 2 R.u/g. Give an O.V CE/-time algorithm that computes min.u/ for all vertices u 2 V .

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