SOLVED: Consider a DFS-based algorithm that checks whether a given directed graph G = (V, E) is a DAG: The algorithm first runs a DFS and assigns φ(v) = n − N [v] 1 (where N [v] denotes the DFS number of v) to each v ∈ V ; it then checks for each edge (u, v) whether φ(u) φ(v)
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