Cross-intersecting families of finite sets
✍ Scribed by Zoltán Füredi
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 377 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0097-3165
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📜 SIMILAR VOLUMES
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
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