𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Constructive Upper Bounds for Intersecting Set Systems

✍ Scribed by Vince Grolmusz


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
245 KB
Volume
7
Category
Article
ISSN
1571-0653

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


An upper bound for sets
✍ Gang Yu πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 134 KB
Intersection Statements for Systems of S
✍ W.A Deuber; P ErdΕ‘s; D.S Gunderson; A.V Kostochka; A.G Meyer πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 320 KB

A family of r sets is called a 2-system if any two sets have the same intersection. Denote by F(n, r) the most number of subsets of an n-element set which do not contain a 2-system consisting of r sets. Constructive new lower bounds for F(n, r) are given which improve known probabilistic results, an

An intersection theorem for systems of s
✍ A. V. Kostochka πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 346 KB πŸ‘ 2 views

Erdos and Rado defined a A-system, as a family in which every two members have the same intersection. Here we obtain a new upper bound on the maximum cardinality q ( n , q ) of an n-uniform family not containing any A-system of cardinality q. Namely, we prove that, for any a > 1 and q , there exists

A New Upper Bound for B2[2] Sets
✍ Alain Plagne πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 94 KB