Pseudorandomness: Expander Mixing Lemma

This lecture covers the concept of pseudorandomness, focusing on the Expander Mixing Lemma. It explains the need for d-regular graphs and the properties of such graphs. The lecture delves into the characteristics of d-regular graphs, their adjacency matrix, and the conditions for a graph to be d-regular. It also discusses the concept of Hermite matrices and their relevance in the context of pseudorandomness. The instructor explores the implications of Expander Mixing Lemma and its significance in graph theory, particularly in the context of bipartite graphs and expanders.