Ford-Fulkerson Method: Max Flow and Min Cut

This lecture covers the Ford-Fulkerson method for finding the maximum flow in a network, where flow equals the minimum cut. It explains the definition of a flow, the value of a flow, the residual network, and provides examples. The lecture also introduces the concept of net flow across a cut, the capacity of a cut, and the relationship between max-flow and min-cut. The Ford-Fulkerson algorithm is detailed, along with the theorem stating that the max-flow is equal to the capacity of a min-cut. The lecture concludes with a proof of the max-flow min-cut theorem.