On union-closed families - I
On union-closed families - I
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DOI：
10.1006/jcta.1998.2888
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发表时间：
1998-11-01
影响因子：
1.1
通讯作者：
Vaughan, TP
中科院分区：
文献类型：
--
作者：
Johnson, RT;Vaughan, TP
工会封闭的家庭A是一个有限的集合家族，因此A中的任何两个集合的联盟也在A中A.我们研究了此类家庭的结构（按部分有序的集合），并验证大量案例的猜想。 （c）1998学术出版社。
A union closed family A is a finite family of sets such that the union of any two sets in A is also in A. The conjecture under consideration is Conjecture 1: For every union closed family A, there exists some x contained in at least half the members of A. We study the structure of such families (as partially ordered sets), and verify the conjecture for a large number of cases. (C) 1998 Academic Press.