Max-flow and Disjoint Sets

This lecture covers the Ford-Fulkerson method for finding the maximum flow in a network, including augmenting paths and bottleneck computation. It also explains the concept of min-cut and its relation to max-flow. The lecture then delves into applications of max-flow, such as bipartite matching and edge-disjoint paths. Additionally, it introduces the disjoint-set data structure, detailing operations like MAKE-SET and UNION, and their application in connected components. The lecture concludes with the weighted-union heuristic for union operations in disjoint sets, providing a theoretical analysis of its time complexity.