𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Families of finite sets with three intersections

✍ Scribed by Peter Frankl


Book ID
110564263
Publisher
Springer-Verlag
Year
1984
Tongue
English
Weight
374 KB
Volume
4
Category
Article
ISSN
0209-9683

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On families of finite sets with bounds o
✍ Chang Bang; Henry Sharp Jr.; Peter Winkler πŸ“‚ Article πŸ“… 1983 πŸ› Elsevier Science 🌐 English βš– 364 KB

We present a conjecture, with some supporting results, concerning the maximum size of a family of subsets satisfying the following conditions: the intersection of any two members of the family has cardinal@ at least s, and the intersection of the complements of any two members has cardinal@ at least

Maximal intersection critical families o
✍ N.Zagaglia Salvi πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 129 KB

A finite family of pairwise intersecting r-sets is a maximal r-clique if it cannot be extended to another r-clique by adding a new r-set. It is intersection critical if it is not possible to replace any edge by some of its proper subsets, without violating the intersection property. We prove that i