What is the Bridges in a Graph problem and how do you solve it?
This problem asks to find bridges (critical edges) in a graph whose removal increases the number of connected components. It tests Tarjan's algorithm.
Why Interviewers Ask This
Interviewers use this to test graph theory depth. They want to see if you can implement articulation points and bridges using discovery times and low-link values. It demonstrates advanced graph algorithms.
How to Answer This Question
Explain using DFS to compute discovery time and low-link value for each node. A bridge exists if low-link of the child is greater than discovery time of the parent. Discuss the algorithm steps and complexity.
Key Points to Cover
- Discovery time tracking
- Low-link value calculation
- Bridge condition
- DFS traversal
Sample Answer
I use Tarjan's algorithm or a similar DFS-based approach. I maintain discovery times and low-link values for each node. The low-link value is the smallest discovery time reachable from the node, including back edges. Dur…
Common Mistakes to Avoid
- Confusing bridges with articulation points
- Incorrect low-link update logic
- Not handling back edges
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