A short proof of Gowers' lower bound for the regularity lemma

نویسندگان

  • Guy Moshkovitz
  • Asaf Shapira
چکیده

A celebrated result of Gowers states that for every > 0 there is a graph G such that every -regular partition of G (in the sense of Szemerédi’s regularity lemma) has order given by a tower of exponents of height polynomial in 1/ . 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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عنوان ژورنال:
  • Combinatorica

دوره 36  شماره 

صفحات  -

تاریخ انتشار 2016