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Graph Algorithms Explained — BFS, DFS, Topological Sort & SCCs | Chapter 20 in Introduction to Algorithms

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Graph Algorithms Explained — BFS, DFS, Topological Sort & SCCs | Chapter 20 in Introduction to Algorithms Graph algorithms are at the heart of many critical operations in computer science, from web crawling and pathfinding to task scheduling and dependency resolution. Chapter 20 of Introduction to Algorithms (CLRS) provides a comprehensive overview of graph representations, traversal algorithms like BFS and DFS, and advanced applications such as topological sorting and strongly connected components (SCCs). Whether you're studying for AP Computer Science or brushing up on algorithm fundamentals, this chapter is essential reading. 📺 Watch the full video above for a visual breakdown of each algorithm and its application, or keep reading for an in-depth written explanation. Graph Representations Graphs can be represented in two main ways: adjacency lists and adjacency matrices. Each has trade-offs in space and time complexity depending on the graph’s density. Adja...