Detecting Cycles in Undirected Graphs

Updated Apr 28, 2026

Short answer

Using DFS/BFS or Disjoint Set Union (DSU) to check if an edge connects two already visited nodes.

Deep explanation

Mid-level Graph theory focuses on classic pathfinding and optimization algorithms. Using DFS/BFS or Disjoint Set Union (DSU) to check if an edge connects two already visited nodes.

Real-world example

Google Maps finding the fastest route to a destination.

Common mistakes

  • Using Dijkstra on a graph with negative edge weights.

Follow-up questions

  • Time complexity of Dijkstra?

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