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

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

2004-06-07

arxiv.org/abs/math/0406125v1

Discrete & Computational Geometry 34 (2005), 331--349.

Mathematics

Combinatorics

19 pages

Scientific paper

10.1007/s00454-005-1159-1

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.

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