高维膨胀剂及性能测试

Proceedings of the 5th conference on Innovations in theoretical computer science Pub Date : 2013-12-09 DOI:10.1145/2554797.2554842

T. Kaufman, A. Lubotzky

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引用次数: 40

摘要

我们证明了由Gromov, Linial和Meshulam定义的简单复合体的高维展开性是一种可测试性。也就是说，如果一个合适的性质是可测试的，一个简单复合体就是一个高维展开式。利用这种联系，我们得到了几个可测试性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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High dimensional expanders and property testing

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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Proceedings of the 5th conference on Innovations in theoretical computer science

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