Shelling and triangulating the (extra)ordinary polytope
| dc.creator | Bayer, Margaret M. | |
| dc.date | 2004-04-23 | |
| dc.date.accessioned | 2026-07-07T05:07:41Z | |
| dc.date.available | 2026-07-07T05:07:41Z | |
| dc.description | Ordinary polytopes were introduced by Bisztriczky as a (nonsimplicial) generalization of cyclic polytopes. We show that the colex order of facets of the ordinary polytope is a shelling order. This shelling shares many nice properties with the shellings of simplicial polytopes. We also give a shallow triangulation of the ordinary polytope, and show how the shelling and the triangulation are used to compute the toric h-vector of the ordinary polytope. As one consequence, we get that the contribution from each shelling component to the h-vector is nonnegative. Another consequence is a combinatorial proof that the entries of the h-vector of any ordinary polytope are simple sums of binomial coefficients. | |
| dc.description | 27 pages | |
| dc.identifier | https://arxiv.org/abs/math/0404430 | |
| dc.identifier | http://arxiv.org/abs/math/0404430 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70951 | |
| dc.subject | Combinatorics | |
| dc.subject | 52B22; 52B12 | |
| dc.title | Shelling and triangulating the (extra)ordinary polytope | |
| dc.type | text |