✦ LIBER ✦

On families of intersecting sets

✍ Scribed by Andrzej Ehrenfeucht; Jan Mycielski

Publisher: Elsevier Science
Year: 1974
Tongue: English
Weight: 81 KB
Volume: 17
Category: Article
ISSN: 0097-3165
DOI: 10.1016/0097-3165(74)90016-8

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On maximal intersecting families of fini

On maximal intersecting families of finite sets

✍ Zoltán Füredi 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 375 KB

More on maximal intersecting families of

More on maximal intersecting families of finite sets

✍ Aart Blokhuis 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 225 KB

On families of finite sets with bounds o

On families of finite sets with bounds on unions and intersections

✍ Chang Bang; Henry Sharp Jr.; Peter Winkler 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 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

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

Cross-intersecting families of finite se

Cross-intersecting families of finite sets

✍ Zoltán Füredi 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 377 KB

Voting Fairly: Transitive Maximal Inters

Voting Fairly: Transitive Maximal Intersecting Families of Sets

✍ Daniel E. Loeb; Andrew R. Conway 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 431 KB

There are several applications of maximal intersecting families (MIFs) and different notions of fairness. We survey known results regarding the enumeration of MIFs, and we conclude the enumeration of the 207,650,662,008 maximal families of intersecting subsets of X whose group of symmetries is trans