Expander Graph Constructions - Lecture of CS Theory Toolkit

Explore explicit expander graph constructions in this graduate-level lecture from Carnegie Mellon University's "CS Theory Toolkit" course. Delve into the (Margulis-)Gabber-Galil expanders, Margulis/Lubotzky--Phillips--Sarnak Ramanujan graph expanders, and Reingold--Vadhan--Wigderson Zig-Zag product expanders. Learn about the "Replacement Product" variant of the Zig-Zag construction. Gain insights into vertex expansion, Laplacian, spectral expanders, and random deregulate graphs. Understand the intricacies of Ramanujan graphs and how the Zig-Zag expanders work. This 49-minute lecture, taught by Ryan O'Donnell, provides a comprehensive overview of expander graph theory and its applications in theoretical computer science research.

Introduction
Vertex Expansion
Laplacian
Spectral Expander
Gaborik Expander
Random Deregulate Graph
Ramanuja Graphs
Zig Zag Expanders
Replacement Product
Square it
How it works