Cube Orders

被引：0
|
作者：
Peter Fishburn
机构：
[1] AT&T Labs-Research,
来源：
Order | 1998年 / 15卷
关键词：
cubes; geometric containment; partial order;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A finite partially ordered set P =(X, ≺) is a cube order in Rm if there is a map C from X into cubes in Rm such that, for all x and y in X, x ≺ y if and only if C(x) ⊂ C(y). It is proved that every finite poset with order dimension ≤ 2 m is a cube order in Rm.
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收藏
页码：365 / 376
页数：11
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