Is following statement true/false

If a DFS of a directed graph contains a back edge, any other DFS of the same graph will also contain at least one back edge.

Source: http://courses.csail.mit.edu/6.006/oldquizzes/solutions/q2-s2009-sol.pdf
(A) True
(B) False


Answer: (A)

Explanation: A back edge means a cycle in graph. So if there is a cycle, all DFS traversals would contain at least one back edge.

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