Lower Bound for the Maximal Number of Facets of a 0/1 Polytope

نویسندگان

  • Dimitris Gatzouras
  • Giannopoulos Apostolos
  • Nikolaos Markoulakis
چکیده

Let fn−1(P ) denote the number of facets of a polytope P in R . We show that there exist 0/1 polytopes P with fn−1(P ) ≥ ( cn log 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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عنوان ژورنال:
  • Discrete & Computational Geometry

دوره 34  شماره 

صفحات  -

تاریخ انتشار 2005