Fall 2013

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

Tuesday, Dec. 3, 2013 9:30 am10:15 am PST

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A celebrated result of Gowers states that for every epsilon > 0 there is a graph G so that every epsilon-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/epsilon. 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.