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On undirected graphs, does either of the two traversals, DFS(depth-first search) or BFS(breadth-first search), always find a cycle faster than the other? If yes, indicate

On undirected graphs, does either of the two traversals, DFS(depth-first search) or BFS(breadth-first search), always find a cycle faster than the other?

If yes, indicate which of them is better and explain why it is the case;

If not, draw two graphs supporting your answer and explain the graphs.

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