Question: True or False? ( Proof or counterexample ) If a depth - first search on a directed graph G = ( V , E )

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

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