Lecture

Sparsest Cut: Bourgain's Theorem

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CS-455: Topics in theoretical computer science

The students gain an in-depth knowledge of several current and emerging areas of theoretical computer science. The course familiarizes them with advanced techniques, and develops an understanding of fundamental questions that underlie some of the key probl ...

Description

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.

Official source

Ontological neighbourhood

Mathematics

Discrete mathematics: Graph theory

Statistics

Statistical inference: Mathematical statistics

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