Antichains and Linear Extensions

被引:0
作者
Peter C. Fishburn
机构
[1] AT&T Labs - Research,
来源
Order | 1998年 / 15卷
关键词
antichains; linear extensions; partial orders;
D O I
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学科分类号
摘要
When {1, 2,..., m} is an antichain in a poset on m + n points, how should the other n points be arranged to maximize the proportion of linear extensions in which 1 > 2 > ··· > m? We answer the question for n ∈{1, 2} and speculate on the answer for larger n.
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页码:129 / 142
页数:13
相关论文
共 3 条
  • [1] Fishburn P. C.(1984)A correlational inequality for linear extensions of a poset Order 1 127-137
  • [2] Fishburn P. C.(1991)A note on linear extensions and incomparable pairs J. Combin. Theory A 56 290-296
  • [3] Shepp L. A.(1982)The XYZ conjecture and the FKG inequality Ann. Probab. 10 824-827