Unimodality of f-vectors of cyclic polytopes
Combinatorics
2011-07-26 v2
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.
Cite
@article{arxiv.1106.4597,
title = {Unimodality of f-vectors of cyclic polytopes},
author = {László Major},
journal= {arXiv preprint arXiv:1106.4597},
year = {2011}
}
Comments
3 pages