Bellman-Ford Algorithm: Analysis and Correctness

This lecture covers the Bellman-Ford algorithm, focusing on improving the shortest-path estimate by relaxing edges and detecting negative cycles. The instructor explains the algorithm's correctness through proofs and optimal substructure concepts. The lecture concludes with practical applications, such as finding negative cycles and implementing the algorithm in dynamic networks for routing. Additionally, an example problem involving altitude differences in ski slopes is presented to demonstrate the algorithm's application in real-world scenarios.