✦ LIBER ✦

INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS

✍ Scribed by ERDÓS, P.; KO, CHAO; RADO, R.

Book ID: 111922659
Publisher: Oxford University Press
Year: 1961
Tongue: English
Weight: 242 KB
Volume: 12
Category: Article
ISSN: 0033-5606
DOI: 10.1093/qmath/12.1.313

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Intersection theorems for systems of fin

Intersection theorems for systems of finite sets

✍ Gy. Katona 📂 Article 📅 1964 🏛 Akadmiai Kiad 🌐 English ⚖ 383 KB

The Complete Intersection Theorem for Sy

The Complete Intersection Theorem for Systems of Finite Sets

✍ Rudolf Ahlswede; Levon H. Khachatrian 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 383 KB

The Complete Nontrivial-Intersection The

The Complete Nontrivial-Intersection Theorem for Systems of Finite Sets

✍ Rudolf Ahlswede; Levon H. Khachatrian 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 728 KB

The authors have proved in a recent paper a complete intersection theorem for systems of finite sets. Now we establish such a result for nontrivial-intersection systems (in the sense of Hilton and Milner [Quart.

Intersection theorems for systems of set

Intersection theorems for systems of sets

✍ H.L Abbott; D Hanson; N Sauer 📂 Article 📅 1972 🏛 Elsevier Science 🌐 English ⚖ 376 KB

Intersection Properties of Systems of Fi

Intersection Properties of Systems of Finite Sets

✍ Deza, M.; Erdos, P.; Frankl, P. 📂 Article 📅 1978 🏛 Oxford University Press 🌐 English ⚖ 947 KB

An intersection theorem for systems of s

An intersection theorem for systems of sets

✍ A. V. Kostochka 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 346 KB 👁 2 views

Erdos and Rado defined a A-system, as a family in which every two members have the same intersection. Here we obtain a new upper bound on the maximum cardinality q ( n , q ) of an n-uniform family not containing any A-system of cardinality q. Namely, we prove that, for any a > 1 and q , there exists