Question: True or False? (Proof or counterexample) If a depth-first search on a directed graphG= (V, E)produces exactly one back edge, then it is possible to

True or False? (Proof or counterexample) If a depth-first search on a directed graphG= (V, E)produces exactly one back edge, then it is possible to choose an edge eE such that the graph without e(G= (V, E\{e})) is acyclic.

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