Jump to ContentJump to Main Navigation
Show Summary Details

Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Cuntz, Joachim / Huybrechts, Daniel / Hwang, Jun-Muk


IMPACT FACTOR increased in 2015: 1.616
5-year IMPACT FACTOR: 1.690
Rank 18 out of 312 in category Mathematics in the 2015 Thomson Reuters Journal Citation Report/Science Edition

SCImago Journal Rank (SJR) 2015: 3.614
Source Normalized Impact per Paper (SNIP) 2015: 1.901
Impact per Publication (IPP) 2015: 1.302

Mathematical Citation Quotient (MCQ) 2015: 1.53

299,00 € / $449.00 / £225.00*

Online
ISSN
1435-5345
See all formats and pricing
Select Volume and Issue

Issues

30,00 € / $42.00 / £23.00

Get Access to Full Text

Ehrhart polynomials, simplicial polytopes, magic squares and a conjecture of Stanley

Christos A. Athanasiadis1

1.

Citation Information: Journal für die reine und angewandte Mathematik. Volume 2005, Issue 583, Pages 163–174, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/crll.2005.2005.583.163, November 2005

Publication History

Received:
8. März 2004
Published Online:
2005-11-07

Abstract

It is proved that for a certain class of integer polytopes P  the polynomial h(t ) which appears as the numerator in the Ehrhart series of P, when written as a rational function of t, is equal to the h-polynomial of a simplicial polytope and hence that its co-efficients satisfy the conditions of the g-theorem. This class includes the order polytopes of graded posets, previously studied by Reiner and Welker, and the Birkhoff polytope of doubly stochastic n × n matrices. In the latter case the unimodality of the coefficients of (t ), which follows, was conjectured by Stanley in 1983.

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
Hidefumi Ohsugi and Takayuki Hibi
Journal of Combinatorial Theory, Series A, 2006, Volume 113, Number 4, Page 718
[2]
Sam Payne
Discrete & Computational Geometry, 2008, Volume 40, Number 3, Page 365
[3]
Hidefumi Ohsugi
European Journal of Combinatorics, 2014, Volume 38, Page 122
[4]
Jan Schepers and Leen Van Langenhoven
Annals of Combinatorics, 2013, Volume 17, Number 3, Page 571
[5]
Mircea Mustaţa and Sam Payne
Mathematische Annalen, 2005, Volume 333, Number 4, Page 787
[6]
T. Kyle Petersen, Pavlo Pylyavskyy, and David E. Speyer
Journal of Algebra, 2010, Volume 324, Number 5, Page 951
[7]
Winfried Bruns and Tim Römer
Journal of Combinatorial Theory, Series A, 2007, Volume 114, Number 1, Page 65
[8]
Barbara Baumeister, Christian Haase, Benjamin Nill, and Andreas Paffenholz
Advances in Mathematics, 2009, Volume 222, Number 2, Page 431

Comments (0)

Please log in or register to comment.