Sparsest Cut: Bourgain's Theorem

This lecture covers Bourgain's theorem on sparsest cut in graphs, focusing on the concept of maximum cut and the application of semimetrics. The theorem states that for a given set of vertices, there exists a mapping that minimizes the cut. The lecture delves into the proof of the theorem, emphasizing the role of semimetrics and the design of the distribution. It also discusses the implications of the theorem in graph theory and optimization problems.