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math.CO2011
Log-concavity of face vectors of cyclic and ordinary polytopes
Laszlo Major
Ordinary polytopes are known as a non-simplicial generalization of the cyclic polytopes. The face vectors of ordinary polytopes are shown to be log-concave.
math.CO2011★ 1 cited
Unimodality of f-vectors of cyclic polytopes
László Major
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 t…