Author

Federico Castillo

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Preprint Aug 2026

Almost factorial many facets for 0/1-polytopes

A long-standing question posed by Fukuda (1995) and Ziegler (2000) inquires about the asymptotic behavior of $g(n)$, the maximum number of facets that an $n$-dimensional $0/1$-polytope can have. A remarkable result by B\'ar\'any and P\'or (2001) via probabilistic methods established that $g(n)$ is at least superexponen...

Federico Castillo, Luis Ferroni · 1 citation