𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Weighted 3-Wise 2-Intersecting Families

✍ Scribed by Peter Frankl; Norihide Tokushige


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
190 KB
Volume
100
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


1-Intersecting families
✍ M. Habib; M.C. Maurer πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 555 KB

We study subset families of a finite set that come from combinatorial decomposition theories such as graph substitution decomposition, boolean function decomposition, hypergraph or clutter substitution decomposition; see Omningham and Edmonds' paper [6]. We consider these families as ordered sets a

Maximal intersecting families
✍ Aaron Meyerowitz πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 542 KB
Maximal s-Wise t-Intersecting Families o
✍ Lucia Moura πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 239 KB

For fixed s, n, k, and t, let I s (n, k, t) denote the set of all such families. A family A # I s (n, k, t) is said to be maximal if it is not properly contained in any other family in I s (n, k, t). We show that for fixed s, k, t, there is an integer n 0 =n 0 (k, s, t), for which the maximal famili

Enumeration of intersecting families
✍ P ErdΓΆs; N Hindman πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 184 KB
On cross-intersecting families
✍ P. Frankl πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 214 KB
Intersecting Balanced Families of Sets
✍ Adam Idzik; Gyula O.H. Katona; Rajiv Vohra πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 117 KB

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 1Γ‚t n 1&1Γ‚t elements. The same holds for balanced families, which is a generalization of the regularity. The estimate is asympto