Counterexamples of the Conjecture on Roots of Ehrhart Polynomials

被引：10
|
作者：
Higashitani, Akihiro [1 ]
机构：
[1] Osaka Univ, Dept Pure & Appl Math, Grad Sch Informat Sci & Technol, Osaka 5600043, Japan
来源：
DISCRETE & COMPUTATIONAL GEOMETRY | 2012年 / 47卷 / 03期
关键词：
Integral convex polytope; Ehrhart polynomial; delta-vector;
D O I：
10.1007/s00454-011-9390-4
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
On roots of Ehrhart polynomials, Beck et al. conjecture that all roots alpha of the Ehrhart polynomial of an integral convex polytope of dimension d satisfy -da parts per thousand currency signa"e(alpha)a parts per thousand currency signd-1. In this paper, we provide counterexamples for this conjecture.
引用
收藏
页码：618 / 623
页数：6
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