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  1. The DFS tree and observation 1 are the core of Tarjan's bridge-finding algorithm. Typical tutorials about finding bridges only mention the DFS tree in passing and start by defining weird arrays

  2. A directed DFS tree is an explicit representation of a DFS traversal of a directed graph. When a node is visited for the first time, it is added to the tree, either as a root if it was visited in the beginning of a DFS call, or as the child of the node it got visited from.

  3. Codeforces Graph Theory/ Problem Solving/ Algorithm Series:This is the first video of my Codeforces Graph Series. This is an introductory tutorial that discu...

  4. This blog will describe a method to generalize Mo's algorithm to maintain information about paths between nodes in a tree. Prerequisites. Mo's Algorithm — If you do not know this yet, read this amazing article before continuing with this blog. Preorder Traversal or DFS Order of the Tree. Problem 1 — Handling Subtree Queries

  5. You are given a rooted tree. How do you find out the distance between any 2 nodes? Denote $d[u]$ to be the distance of node $u$ from the root. It can be calculated with simple Tree DP while doing a DFS on the tree.

  6. The idea of a bridge tree is to shrink the maximal components without a bridge into one node, leaving only the bridges of the original graph as the edges in the bridge tree. In the above image, the bridges of the graph are marked in red. They are the edges between the nodes $$$(3, 4)$$$ and $$$(3, 9)$$$.

  7. 15 lut 2024 · DFS (Depth-first search) is a technique used for traversing trees or graphs. Here backtracking is used for traversal. In this traversal first, the deepest node is visited and then backtracks to its parent node if no sibling of that node exists.

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