You're tasked with detecting cycles in a directed graph. Explain how you would use DFS to accomplish this task efficiently.

  • Keep track of the current path in the graph
  • Maintain a count of visited nodes
  • Mark visited nodes during DFS traversal
  • Perform topological sorting using DFS
To detect cycles in a directed graph using DFS, you can mark the visited nodes during traversal. If you encounter a node that is already marked as visited, a cycle is detected. This approach efficiently identifies cycles without the need for additional data structures.
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