Ehrhart polynomials of convex polytopes with small volumes

被引：5

作者：

Hibi, Takayuki ^{[1
]}

Higashitani, Akihiro ^{[1
]}

Nagazawa, Yuuki ^{[1
]}

机构：

[1] Osaka Univ, Grad Sch Informat Sci & Technol, Dept Pure & Appl Math, Osaka 5600043, Japan

来源：

EUROPEAN JOURNAL OF COMBINATORICS | 2011年 / 32卷 / 02期

关键词：

D O I：

10.1016/j.ejc.2010.10.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let P subset of R(d) be an integral convex polytope of dimension d and delta(P) = (delta(0), delta(1), ..., delta(d)) be its delta-vector. By using the known inequalities on delta-vectors, we classify the possible delta-vectors of convex polytopes of dimension d with Sigma(d)(i=0) delta(i) <= 3. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：226 / 232

页数：7

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