Unimodality and convexity of f-vectors of polytopes

Details Unimodality and convexity of f-vectors of polytopes Unimodality and convexity of f-vectors of polytopes

2005-12-06

arxiv.org/abs/math/0512131v1

Mathematics

Combinatorics

9 pages

Scientific paper

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.

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