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arXiv · 0705.2179

Limits of Hypergraphs, Removal and Regularity Lemmas. A Non-standard Approach

Gabor Elek·Balazs Szegedy
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Abstract

We study the integral and measure theory of the ultraproduct of finite sets. As a main application we construct limit objects for hypergraph sequences. We give a new proof for the Hypergraph Removal Lemma and the Hypergraph Regularity Lemma.

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Gabor Elek, Balazs Szegedy. 2007-05-15. Limits of Hypergraphs, Removal and Regularity Lemmas. A Non-standard Approach. https://arxiv.org/abs/0705.2179

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