High Dimensional Expanders and Property Testing

Tali Kaufman; Alexander Lubotzky

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arXiv · 1312.2367

High Dimensional Expanders and Property Testing

Tali Kaufman·Alexander Lubotzky

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Abstract

We show that the high dimensional expansion property as defined by Gromov, Linial and Meshulam, for simplicial complexes is a form of testability. Namely, a simplicial complex is a high dimensional expander iff a suitable property is testable. Using this connection, we derive several testability results.

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Tali Kaufman, Alexander Lubotzky. 2013-12-09. High Dimensional Expanders and Property Testing. https://arxiv.org/abs/1312.2367

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