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arXiv · 1704.01200

The integrality gap of the Goemans--Linial SDP relaxation for Sparsest Cut is at least a constant multiple of $\sqrt{\log n}$

Assaf Naor·Robert Young
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Abstract

We prove that the integrality gap of the Goemans--Linial semidefinite programming relaxation for the Sparsest Cut Problem is $Ω(\sqrt{\log n})$ on inputs with $n$ vertices.

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Assaf Naor, Robert Young. 2017-04-04. The integrality gap of the Goemans--Linial SDP relaxation for Sparsest Cut is at least a constant multiple of $\sqrt{\log n}$. https://arxiv.org/abs/1704.01200

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