Master Tarjan's SCC algorithm: a single DFS pass with discovery times, low-link values, and an explicit stack to identify all strongly connected components in O(V + E). The interview gold standard for directed graph decomposition, asked at Google, Meta, and Uber.
Use Tarjan's low-link technique to find every bridge (critical edge) and articulation point (cut vertex) in an undirected graph in O(V + E). The interview pattern behind LeetCode 1192 Critical Connections, asked at Google, Meta, and Amazon.
Master LeetCode 1192 Critical Connections in a Network: a textbook Tarjan bridge-finding algorithm using DFS with discovery times and low-link values to detect every edge whose removal disconnects the graph. A FAANG hard graph interview classic at Google, Amazon, and Meta.