# Szemerédi's Regularity Lemma

 Title: Szemerédi's Regularity Lemma Authors: Chelsea Edmonds, Angeliki Koutsoukou-Argyraki and Lawrence C. Paulson Submission date: 2021-11-05 Abstract: Szemerédi's regularity lemma is a key result in the study of large graphs. It asserts the existence an upper bound on the number of parts the vertices of a graph need to be partitioned into such that the edges between the parts are random in a certain sense. This bound depends only on the desired precision and not on the graph itself, in the spirit of Ramsey's theorem. The formalisation follows online course notes by Tim Gowers and Yufei Zhao. BibTeX: @article{Szemeredi_Regularity-AFP, author = {Chelsea Edmonds and Angeliki Koutsoukou-Argyraki and Lawrence C. Paulson}, title = {Szemerédi's Regularity Lemma}, journal = {Archive of Formal Proofs}, month = nov, year = 2021, note = {\url{https://isa-afp.org/entries/Szemeredi_Regularity.html}, Formal proof development}, ISSN = {2150-914x}, } License: BSD License Depends on: Girth_Chromatic