q-Weighted log-concavity and q-product theorem on the normality of posets

被引：7
|
作者：
Wang, Jun [2 ]
Zhang, Huajun [1 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
[2] Shanghai Normal Univ, Dept Math, Shanghai 200034, Peoples R China
来源：
ADVANCES IN APPLIED MATHEMATICS | 2008年 / 41卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Log-concavity; Direct product of posets; Normal poset; Normalized matching property; LYM property;
D O I：
10.1016/j.aam.2007.11.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that q-weighted log-concavity and the strict normalized matching property arc preserved under the q-direct product over weighted posets. As consequences, two classes of weighted posets including the finite linear lattices are strictly q-weighted log-concave and strictly normal. (c) 2008 Elsevier Inc. All rights reserved.
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页码：395 / 406
页数：12
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