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arXiv · 1806.00541

Extension Complexity of the Correlation Polytope

Pierre Aboulker·Samuel Fiorini·Tony Huynh·Marco Macchia·Johanna Seif
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Abstract

We prove that for every $n$-vertex graph $G$, the extension complexity of the correlation polytope of $G$ is $2^{O(\mathrm{tw}(G) + \log n)}$, where $\mathrm{tw}(G)$ is the treewidth of $G$. Our main result is that this bound is tight for graphs contained in minor-closed classes.

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Pierre Aboulker, Samuel Fiorini, Tony Huynh, Marco Macchia, Johanna Seif. 2018-06-01. Extension Complexity of the Correlation Polytope. https://arxiv.org/abs/1806.00541

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