Unimodality of f-vectors of cyclic polytopes

Details Unimodality of f-vectors of cyclic polytopes Unimodality of f-vectors of cyclic polytopes

2011-06-22

arxiv.org/abs/1106.4597v2

Mathematics

Combinatorics

3 pages

Scientific paper

Cyclic polytopes are generally known for being involved in the Upper Bound
Theorem, but they have another extremal property which is less well known.
Namely, the special shape of their f-vectors makes them applicable to certain
constructions to present non-unimodal convex polytopes. Nevertheless, the
f-vectors of cyclic polytopes themselves are unimodal.

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