Unimodality and convexity of f-vectors of polytopes
Abstract
We consider unimodality and related properties of f-vectors of polytopes in various dimensions. By a result of Kalai (1988), f-vectors of 5-polytopes are unimodal. In higher dimensions much less can be said; we give an overview on current results and present a potentially interesting construction as well as a conjecture arising from this.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- December 2005
- DOI:
- arXiv:
- arXiv:math/0512131
- Bibcode:
- 2005math.....12131W
- Keywords:
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- Mathematics - Combinatorics;
- 52B05
- E-Print:
- 9 pages