18.225 | Fall 2023 | Graduate

Graph Theory and Additive Combinatorics

Video Lectures

Lecture 11: Pseudorandom Graphs I: Quasirandomness

Description: Pseudorandom graphs are graphs that behave like random graphs in certain prescribed ways. In this lecture, Professor Zhao discusses a classic result of Chung, Graham, and Wilson, which shows that many definitions of quasirandom graphs are surprisingly equivalent. This result highlights the role of 4-cycles in pseudorandomness. The expander mixing lemma is also discussed near the end of the lecture.

Instructor: Prof. Yufei Zhao

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