✦ LIBER ✦

Union-closed families

✍ Scribed by Bjorn Poonen

Book ID: 107885184
Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 784 KB
Volume: 59
Category: Article
ISSN: 0097-3165
DOI: 10.1016/0097-3165(92)90068-6

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On Union-Closed Families, I

✍ Robert T. Johnson; Theresa P. Vaughan 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 174 KB

A union closed family A is a finite family of sets such that the union of any two sets in A is also in A. The conjecture under consideration is Conjecture 1: For every union closed family A, there exists some x contained in at least half the members of A. We study the structure of such families (as

On Union-Closed Families, I

✍ Robert T. Johnson; Theresa P. Vaughan 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 93 KB

Union-closed families of sets

✍ Piotr Wójcik 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 532 KB

We use a lower bound on the number of small sets in an idea1 to show that for each unionclosed family of n sets there exists an element which belongs to at least of them, provided n is large enough.

Density of union-closed families

✍ Piotr Wójcik 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 425 KB

W6jcik, P., Density of union-closed families, Discrete Mathematics 105 (1992) 259-267. Two theorems related to Frankl's conjecture about union-closed families are proved. The first one states how small the sum of degrees in an m-element set may be. Our second result deals with the smallest densities

A Family Closeness

✍ Richmond, Emma 📂 Fiction 📅 0 🌐 English ⚖ 277 KB

A Family Closeness

✍ Richmond, Emma 📂 Fiction 📅 1994 🏛 Harlequin Treasury-Harlequin Romance 90s 🌐 English ⚖ 89 KB

**Out of the Frying Pan...** If Davina's fiancé hadn't run off with her best friend, she wouldn't have got involved with Joel Gilman. And now, four years after their disastrous encounter, it seemed that time hadn't dulled their mutual attraction! Davina was reminded of what she'd lost, especially n