NORMAL 0-1 POLYTOPES

被引：3
|
作者：
Huy Tai Ha [1 ]
Kuei-Nuan Lin [2 ]
机构：
[1] Tulane Univ, Dept Math, New Orleans, LA 70118 USA
[2] Penn State Greater Allegheny, Acad Affairs, Mckeesport, PA USA
来源：
SIAM JOURNAL ON DISCRETE MATHEMATICS | 2015年 / 29卷 / 01期
关键词：
Ehrhart ring; polytopal ring; toric ring; normal; squarefree monomial ideals; hypergraphs; polytopes; MONOMIAL IDEALS; ALGEBRAS; REGULARITY; CLUTTERS;
D O I：
10.1137/130948240
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the question of when 0-1 polytopes are normal or, equivalently, have the integer decomposition property. In particular, we shall associate to each 0-1 polytope a labeled hypergraph, and examine the equality between its Ehrhart and polytopal rings via the combinatorial structures of the labeled hypergraph.
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页码：210 / 223
页数：14
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