Preprint
Aug 2026
On Unavoidable Faces of High-Dimensional Polytopes
Kalai's cube--simplex conjecture asserts that for all positive integers $\ell,k$, there is an integer $f(\ell,k)$ such that every polytope of dimension at least $f(\ell,k)$ has either a simplex $\ell$-face or a cube $k$-face; let $f_s(\ell,k)$ denote the threshold restricted to simple polytopes. Finiteness of $f(\ell,k...
J. De Loera, Ethan X. Fang, Sheng Guo et al.
· 0 citations