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arXiv · 1308.5352

A Short Proof of Gowers' Lower Bound for the Regularity Lemma

Guy Moshkovitz·Asaf Shapira
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Abstract

A celebrated result of Gowers states that for every ε> 0 there is a graph G so that every ε-regular partition of G (in the sense of Szemeredi's regularity lemma) has order given by a tower of exponents of height polynomial in 1/ε. In this note we give a new proof of this result that uses a construction and proof of correctness that are significantly simpler and shorter.

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Guy Moshkovitz, Asaf Shapira. 2013-08-24. A Short Proof of Gowers' Lower Bound for the Regularity Lemma. https://arxiv.org/abs/1308.5352

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