𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Families of finite sets satisfying a union condition

✍ Scribed by Peter Frankl


Book ID
107748306
Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
690 KB
Volume
26
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Sets of Prime Numbers Satisfying a Divis
✍ Paul Erdős; Anthony B. Evans πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 270 KB

We study sets P of k primes that satisfy the condition gcd(> A&> B, > P)=1 whenever A and B are disjoint non-empty subsets of P. It is known that such sets of primes exist for all positive integers k. It is of interest to know the asymptotic behavior of n k , the smallest natural number that is the

Union-closed families of sets
✍ Piotr WΓ³jcik πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 532 KB

We use a lower bound on the number of small sets in an idea1 to show that for each unionclosed family of n sets there exists an element which belongs to at least of them, provided n is large enough.

Union-closed families of sets
✍ Balla, Igor; BollobΓ‘s, BΓ©la; Eccles, Tom πŸ“‚ Article πŸ“… 2013 πŸ› Elsevier Science 🌐 English βš– 245 KB