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Monotonicity Testing for Boolean Functions over Graph Products

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Date

2020-09-09

Authors

Chen, Zhengkun

Advisor

Blais, Eric

Journal Title

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Volume Title

Publisher

University of Waterloo

Abstract

We establish a directed analogue of Chung and Tetali's isoperimetric inequality for graph products. We use this inequality to obtain new bounds on the query complexity for testing monotonicity of Boolean-valued functions over products of general posets.

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Keywords

Monotonicity Testing, Property Testing, Isoperimetry

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