# Algorithms | Graph Traversals | Question 12

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.

Quiz of this Question