Question: True or False? ( Proof or counterexample ) If a directed graph G = ( V , E ) is cyclic but can be made

True or False? (Proof or counterexample) If a directed graph G=(V,E) is cyclic but can be made
acyclic by removing one edge, then a depth-first search in G will encounter exactly one back edge.
True or False? (Proof or counterexample) If a directed graph G=(V,E)

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