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This lecture covers elementary graph algorithms, focusing on Breadth-First Search (BFS) and Depth-First Search (DFS). It explains the concepts of graphs, adjacency lists, adjacency matrix, and the comparison between them. The instructor demonstrates the implementation of BFS with pseudocode and provides an analysis of its correctness. Additionally, the lecture introduces Depth-First Search, discussing the discovery and finishing times of vertices and the exploration strategy. The comparison between BFS and DFS is highlighted, emphasizing their distinct approaches to exploring vertices in a graph.
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