What are some algorithms for cycle detection in graphs?
There are several algorithms for cycle detection in graphs, including Depth-First Search (DFS), Union-Find, and Floyd's Cycle-Finding Algorithm.
Can you explain how the DFS algorithm works for cycle detection?
Sure! In DFS, we traverse the graph and keep track of visited nodes. If we encounter a visited node that is not the parent of the current node, a cycle exists.
What about the Union-Find algorithm? How does it detect cycles?
The Union-Find algorithm detects cycles by maintaining a set of connected components. When adding an edge, if both vertices belong to the same component, a cycle is detected.
Are there any specific use cases for cycle detection?
Yes, cycle detection is crucial in various applications, such as deadlock detection in operating systems and analyzing network topologies.
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