| dc.contributor.author | Li, Nan | |
| dc.date.accessioned | 2017-06-14T18:08:41Z | |
| dc.date.available | 2017-06-14T18:08:41Z | |
| dc.date.issued | 2012-08 | |
| dc.date.submitted | 2012-08 | |
| dc.identifier.issn | 0179-5376 | |
| dc.identifier.issn | 1432-0444 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/109863 | |
| dc.description.abstract | We consider the Ehrhart h[superscript ∗]-vector for the hypersimplex. It is well-known that the sum of the h[superscript ∗][subscript i] is the normalized volume which equals the Eulerian numbers. The main result is a proof of a conjecture by R. Stanley which gives an interpretation
of the h[superscript ∗][subscript i] coefficients in terms of descents and exceedances. Our proof is geometric using a careful book-keeping of a shelling of a unimodular triangulation. We generalize this result to other closely related polytopes. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-0604423) | |
| dc.publisher | Springer-Verlag | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1007/s00454-012-9452-2 | en_US |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
| dc.source | Springer-Verlag | en_US |
| dc.title | Ehrhart h[superscript ∗]-Vectors of Hypersimplices | en_US |
| dc.title.alternative | Ehrhart h ∗-Vectors of Hypersimplices | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Li, Nan. “Ehrhart H ∗-Vectors of Hypersimplices.” Discrete & Computational Geometry (2012): n. pag. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Li, Nan | |
| dc.relation.journal | Discrete & Computational Geometry | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2016-08-18T15:41:11Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | Springer Science+Business Media, LLC | |
| dspace.orderedauthors | Li, Nan | en_US |
| dspace.embargo.terms | N | en |
| mit.license | PUBLISHER_POLICY | en_US |
