Property Testing and Expansion in Cubical Complexes

David Garber; Uzi Vishne

doi:10.1007/s00454-019-00160-4

Property Testing and Expansion in Cubical Complexes

David Garber, Uzi Vishne

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider expansion and property testing in the language of incidence geometry, covering both simplicial and cubical complexes in any dimension. We develop a general method for the transition from an explicit description of the cohomology group, which need not be trivial, to a testability proof with linear ratio between errors. The method is demonstrated by testing functions on 2-cells in cubical complexes to be induced from the edges.

Original language	English
Pages (from-to)	893-915
Number of pages	23
Journal	Discrete and Computational Geometry
Volume	65
Issue number	3
DOIs	https://doi.org/10.1007/s00454-019-00160-4
State	Published - Apr 2021

Bibliographical note

Publisher Copyright:
© 2019, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords

Boolean functions
Cohomology of cubical complexes
Cubical complexes
Expansion
Incidence geometry
Property testing

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10.1007/s00454-019-00160-4

Cite this

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Property Testing and Expansion in Cubical Complexes

Abstract

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Keywords

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