volume 34, issue 2, P331-349 2005
DOI: 10.1007/s00454-005-1159-1
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## Abstract: Let f n−1 (P) denote the number of facets of a polytope P in R n . We show that there exist 0/1 polytopes P with f n−1 (P) ≥ cn log 2 n n/2 , where c > 0 is an absolute constant. This improves earlier work of Bárány and Pór on a question of Fukuda and Ziegler.

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