The number of faces of centrally-symmetric polytopes

  title={The number of faces of centrally-symmetric polytopes},
  author={Gil Kalai},
  journal={Graphs and Combinatorics},
  • G. Kalai
  • Published 1989
  • Mathematics, Computer Science
  • Graphs and Combinatorics
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We investigate weighted floating bodies of polytopes. We show that the weighted volume depends on the complete flags of the polytope. This connection is obtained by introducing flag simplices, whichExpand
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Table of Contents
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On the number of faces of centrally-symmetric simplicial polytopes
  • R. Stanley
  • Mathematics, Computer Science
  • Graphs Comb.
  • 1987
The conjectures of Björner are proved and generalizes the result of Bárány-Lovász sincefd−1 =∑ hi, and more strongly that h_i - h_{i - 1} \geqslant \left( {\begin{array}{*{20}c} d \\ i \\ \end{array} } \right) . Expand
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