paper

Lower bound for the maximal number of facets of a 0/1 polytope

arXiv:math/0406125 · doi:10.1007/s00454-005-1159-1

Abstract

We show that there exist 0/1 polytopes in R^n with as many as (cn / (log n)^2)^(n/2) facets (or more), where c>0 is an absolute constant.

19 pages

Lower bound for the maximal number of facets of a 0/1 polytope · wovepaper