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Removal lemma for infinitely-many forbidden hypergraphs and property testing

Yoshiyasu Ishigami
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Abstract

We give an extension of a graph result by Alon and Shapira. And it affirmatively settles a question on property testing raised by them. All monotone hypergraph properties and all hereditary partite hypergraph properties are testable. Our proof is constructive and based on a new hypergraph regularity lemma.

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Yoshiyasu Ishigami. 2008-03-24. Removal lemma for infinitely-many forbidden hypergraphs and property testing. https://arxiv.org/abs/math/0612669

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