How do I implement cycle detection in a graph?

How do I implement cycle detection in a graph?

To implement cycle detection, you can use Depth-First Search (DFS) or the Union-Find algorithm. Which one would you prefer?

Can you explain how DFS works for cycle detection?

Sure! In DFS, you keep track of visited nodes and the recursion stack. If you revisit a node that's already in the stack, a cycle exists.

What about the Union-Find method?

The Union-Find method uses two main operations: union and find. You connect nodes and check if they belong to the same set to detect cycles.

Which method is more efficient for large graphs?

Union-Find is generally more efficient for large graphs, especially when using path compression and union by rank.