2006•arXiv (Cornell University)Open access

Removal lemma for infinitely-many forbidden hypergraphs and property testing

Yoshiyasu Ishigami

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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Key concepts: Lemma (botany), Property (philosophy), Property testing, Mathematics, Combinatorics, Discrete mathematics, Pure mathematics, Epistemology