𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Enumeration of intersecting families

✍ Scribed by P Erdös; N Hindman


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
184 KB
Volume
48
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Maximal s-Wise t-Intersecting Families o
✍ Lucia Moura 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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

1-Intersecting families
✍ M. Habib; M.C. Maurer 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 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

Intersecting Balanced Families of Sets
✍ Adam Idzik; Gyula O.H. Katona; Rajiv Vohra 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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 1Ât n 1&1Ât elements. The same holds for balanced families, which is a generalization of the regularity. The estimate is asympto

On families of intersecting sets
✍ Andrzej Ehrenfeucht; Jan Mycielski 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 81 KB