Ehrhart polynomials, simplicial polytopes, magic squares and a conjecture of Stanley
| dc.creator | Athanasiadis, Christos A. | |
| dc.date | 2003-12-01 | |
| dc.date.accessioned | 2026-07-07T05:03:26Z | |
| dc.date.available | 2026-07-07T05:03:26Z | |
| dc.description | It is proved that a certain symmetric sequence of nonnegative integers arising in the enumeration of magic squares of given size n by row sums or, equivalently, in the generating function of the Ehrhart polynomial of the polytope of doubly stochastic n by n matrices, is equal to the h-vector of a simplicial polytope and hence that it satisfies the conditions of the g-theorem. The unimodality of this sequance, which follows, was conjectured by Stanley (1983). Several generalizations are given. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0312031 | |
| dc.identifier | http://arxiv.org/abs/math/0312031 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69417 | |
| dc.subject | Combinatorics | |
| dc.subject | 05E99 (Primary) 05B30, 52B12 (Secondary) | |
| dc.title | Ehrhart polynomials, simplicial polytopes, magic squares and a conjecture of Stanley | |
| dc.type | text |