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This lecture covers graph algorithms such as breadth-first search (BFS) and depth-first search (DFS). It explains how BFS explores vertices at distance 1 before moving to vertices at greater distances, while DFS recursively traverses the graph. The lecture discusses the concepts of shortest paths, spanning trees, and the importance of data structures like queues and stacks in these algorithms. It also delves into the differences between BFS and DFS in terms of path selection and efficiency, providing examples and practical applications.
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