The determinants of certain matrices arising from the Boolean lattice

被引：11

作者：

Hara, Masao ^{[1
]}

Watanabe, Junzo ^{[2
]}

机构：

[1] Tokai Univ, Dept Math Sci, Hiratsuka, Kanagawa 2591292, Japan

[2] Tokai Univ, Dept Math, Hiratsuka, Kanagawa 2591292, Japan

来源：

DISCRETE MATHEMATICS | 2008年 / 308卷 / 23期

关键词：

Boolean lattice; Finite chain product; Sperner property;

D O I：

10.1016/j.disc.2007.09.055

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let B be the Boolean lattice on an n-set with B = boolean OR B-i the rank decomposition. Let M(n, i) be the incidence matfix between B-i and Bn-i. We obtain a recursive formula for the determinant of the matrix M(n, i). (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：5815 / 5822

页数：8

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