Max-Flow Min-Cut Theorem - Lecture 15

Explore the fundamental Max-Flow Min-Cut Theorem in this 78-minute lecture from MIT's Principles of Discrete Applied Mathematics course. Learn about the maximum flow problem and discover why the maximum flow is always less than or equal to the minimum cut. Examine the linear programming formulation for maximum flow problems and understand how taking the dual of this linear program reveals the minimum cut. Gain insights into this cornerstone theorem of network flow theory through clear mathematical explanations and proofs that demonstrate the elegant relationship between maximum flows and minimum cuts in network graphs.