Work

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

Year: 2026

Type: preprint

Abstract: We present a simple 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.01870

Author: Yang, Xiongxin

Institution: University of California, Santa Barbara

Language: English

Topic: Complexity and Algorithms in Graphs

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: AF: Small: New Techniques for Optimal Bounds on MCMC Algorithms

OpenAlex ID: W7172443294

Cites: 10

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Related to: 10