http://threads-iiith.quora.com/The-Bridge-Tree-of-a-graph
Any feedback/suggestions are most welcome. :)
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What is the time complexity of the bridge tree building process?
O(N)
More bridge tree questions:
https://codeforces.net/contest/1000/problem/E
https://codeforces.net/contest/652/problem/E
I'm so confused. How does it differs from Block-cut tree ? Thanks in advance
In a bridge tree, every vertex corresponds to a 2-connected component, and edges correspond to bridges. If edge $$$(a, b)$$$ is on the path $$$u, v$$$ in the bridge tree, then the edge $$$(a, b)$$$ is a bridge that separates $$$u$$$ and $$$v$$$ in the original graph.
Block-cut trees are kind of similar, with cut vertices instead of bridges. It has the property that if vertex $$$x$$$ is on the path $$$u, v$$$ in the block-cut tree, then it is a cut vertex that separates $$$u$$$ and $$$v$$$ in the original graph.