## A simple regularization of hypergraphs

by
Yoshiyasu Ishigami

Citations: | 5 - 3 self |

### BibTeX

@MISC{Ishigami_asimple,

author = {Yoshiyasu Ishigami},

title = {A simple regularization of hypergraphs},

year = {}

}

### OpenURL

### Abstract

Abstract. We give a simple and natural construction of hypergraph regularization. It yields a short proof of a hypergraph regularity lemma. Consequently, as an example of its applications, we have a short self-contained proof of Szemerédi’s classic theorem on arithmetic progressions (1975) as well as its multidimensional extension by Furstenberg-Katznelson (1978). 1.