Title
Intersecting balanced families of sets
Abstract
Suppose that any t members ( t ⩾2) of a regular family on an n element set have at least k common elements. It is proved that the largest member of the family has at least k 1/ t n 1−1/ t elements. The same holds for balanced families, which is a generalization of the regularity. The estimate is asymptotically sharp.
Year
DOI
Venue
2001
10.1006/jcta.2000.3078
J. Comb. Theory, Ser. A
Keywords
Field
DocType
balanced family.,regular family,balanced family,extremal problems
Discrete mathematics,Combinatorics,Mathematics
Journal
Volume
Issue
ISSN
93
2
Journal of Combinatorial Theory, Series A
Citations 
PageRank 
References 
1
0.36
1
Authors
3
Name
Order
Citations
PageRank
Adam Idzik1133.05
Gyula O. H. Katona226466.44
Rajiv Vohra3285.51