A Pythagoras proof of Szemerédi's regularity lemma

Published 14 Dec 2012 in math.CO | (1212.3499v2)

Abstract: We give a short proof of Szemer\'edi's regularity lemma, based on elementary Euclidean geometry. The general line of the proof is that of the standard proof (in fact, of Szemer\'edi's original proof), but most technicalities are swallowed by applying Pythagoras' theorem.

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Alexander Schrijver

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