Counterexamples of the Conjecture on Roots of Ehrhart Polynomials

被引：0
|
作者：
Akihiro Higashitani
机构：
[1] Osaka University,Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology
来源：
Discrete & Computational Geometry | 2012年 / 47卷
关键词：
Integral convex polytope; Ehrhart polynomial; -vector;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
On roots of Ehrhart polynomials, Beck et al. conjecture that all roots α of the Ehrhart polynomial of an integral convex polytope of dimension d satisfy −d≤ℜ(α)≤d−1. In this paper, we provide counterexamples for this conjecture.
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页码：618 / 623
页数：5
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