Graph Algorithms: DFS, Topological Sort, SCC

This lecture covers Depth-First Search (DFS) in graphs, including the definition, pseudocode, and runtime analysis. It also explains the Parenthesis theorem and Topological Sort, providing examples and algorithms. Furthermore, it delves into Strongly Connected Components (SCC) in directed graphs, defining SCCs, component graphs, and the magic algorithm to find SCCs. The lecture concludes with an introduction to Flow Networks, illustrating the concept with a cheese transfer example and discussing its applications in various scenarios.