Consider a scenario where you have to detect if there is a cycle in a graph. Would BFS or DFS be more efficient for this task? Provide reasoning for your answer.

  • Both BFS and DFS
  • Breadth-First Search (BFS)
  • Depth-First Search (DFS)
  • Neither BFS nor DFS
DFS is more efficient for detecting cycles in a graph. DFS explores as far as possible along each branch before backtracking, making it well-suited to identify cycles. If a back edge is encountered during the traversal, it indicates the presence of a cycle. BFS, being level-based, may also detect cycles but is not as efficient as DFS in this specific task.
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