arXiv:math/0512131 Abstract

arXiv:math/0512131 [math.CO]Abstract References Reviews Resources

Unimodality and convexity of f-vectors of polytopes

Published 2005-12-06Version 1

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.

Comments: 9 pages

Categories: math.CO

Subjects: 52B05

Keywords: unimodality, higher dimensions, current results, conjecture

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