On the Approximation Resistance of Balanced Linear Threshold Functions

Aaron Potechin

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arXiv · 1807.04421

On the Approximation Resistance of Balanced Linear Threshold Functions

Aaron Potechin

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Abstract

In this paper, we show that there exists a balanced linear threshold function (LTF) which is unique games hard to approximate, refuting a conjecture of Austrin, Benabbas, and Magen. We also show that the almost monarchy predicate on k variables is approximable for sufficiently large k.

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Aaron Potechin. 2018-07-12. On the Approximation Resistance of Balanced Linear Threshold Functions. https://arxiv.org/abs/1807.04421

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