Three applications of the regularity method in combinatorics

Szemerédi’s regularity lemma is one of the central tools in extremal graph theory and additive combinatorics. We present three versions of this lemma tailored for three applications. The first application considered is the graph removal lemma, which states that for any graph 𝐻 on 𝑘 vertices and all...

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Bibliographic Details
Main Author: Berger, Aaron
Other Authors: Zhao, Yufei
Format: Thesis
Published: Massachusetts Institute of Technology 2023
Online Access:https://hdl.handle.net/1721.1/151266