Intersecting balanced families of sets

被引：0
|
作者：
Idzik, A
Katona, GOH
Vohra, R
机构：
[1] Polish Acad Sci, Inst Comp Sci, PL-01237 Warsaw, Poland
[2] Hungarian Acad Sci, Alfred Renyi Inst Math, H-1364 Budapest, Hungary
[3] Brown Univ, Dept Econ, Providence, RI 02912 USA
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES A | 2001年 / 93卷 / 02期
基金：
匈牙利科学研究基金会;
关键词：
extremal problems; regular family; balanced family;
D O I：
10.1006/jcta.2000.3078
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Suppose that any t members (t greater than or equal to 2) of a regular family on and element set have ill least k common elements. It is proved that the largest member of the family has at least k(1/2)n(1-1/t) elements. The same holds for balanced families. which is a generalization of the regularity. The estimate is asymptotically sharp. (C) 2001 Academic Press.
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页码：281 / 291
页数：11
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