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This lecture covers the concept of Strongly Connected Components (SCC) in directed graphs, explaining the algorithm to find SCCs using Depth First Search (DFS). It then introduces Flow Networks, defining flows, capacities, and flow conservation. The lecture also discusses the value of a flow and presents a formal definition of a flow network. Various applications of flow networks are explored, such as modeling cheese transfer between cities and railway networks. The importance of avoiding antiparallel edges in flow networks is highlighted, along with the process of transforming networks to eliminate such edges.
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