Proper and unit trapezoid orders and graphs

被引:8
作者
Bogart, KP
Möhring, RH
Ryan, SP
机构
[1] Dartmouth Coll, Dept Math, Hanover, NH 03755 USA
[2] Tech Univ Berlin, Fachbereich Math, Sekr 6 1, D-10623 Berlin, Germany
[3] Dartmouth Coll, Ctr Educ Outcomes, Hanover, NH 03755 USA
来源
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 1998年 / 15卷 / 04期
基金
美国国家科学基金会;
关键词
dimension; interval; order; trapezoid;
D O I
10.1023/A:1006042122315
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that the class of trapezoid orders in which no trapezoid strictly contains any other trapezoid strictly contains the class of trapezoid orders in which every trapezoid can be drawn with unit area. This is different from the case of interval orders, where the class of proper interval orders is exactly the same as the class of unit interval orders.
引用
收藏
页码:325 / 340
页数:16
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