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arXiv · 2608.01870

$0/1$-Polytopes with Exponentially Small Edge Expansion

Xiongxin Yang
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Abstract

We present a construction of a family of $0/1$-polytopes whose edge expansion decreases exponentially with the dimension, which disproves the Mihail-Vazirani conjecture that the graph of every $0/1$-polytope has edge expansion at least one.

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Xiongxin Yang. 2026-08-03. $0/1$-Polytopes with Exponentially Small Edge Expansion. https://arxiv.org/abs/2608.01870

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