Unimodality of f-vectors of cyclic polytopes

2011/06/22 by László Major, Major, László
Computer Science · Mathematics · #05A10 #52B11 #Combinatorics (math.CO) #Computational Geometry and Mesh Generation #FOS: Mathematics #Mathematics and Applications #Point processes and geometric inequalities #math.CO #msc:05A10 #msc:52B11

paper · pdf · doi:10.48550/arxiv.1106.4597

3 pages

openalex publication_date 2011/06/22 · arxiv created 2011/07/25 · arxiv updated 2011/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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