Max-Flow Min-Cut

This lecture covers the Ford Fulkerson algorithm for finding the maximum flow in a network, focusing on augmenting paths and residual graphs. It also introduces the Max-Flow Min-Cut theorem, explaining the relationship between the maximum flow and the minimum cut in a directed graph. The lecture discusses the Incidence matrix and its role in solving general flow problems, as well as the concept of feasibility and cost in network optimization. Various proposed solutions and their implications are explored, emphasizing the polynomial time complexity of solving max flow problems. The lecture concludes with insights into the NP-completeness of certain network optimization challenges.