๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A Product Theorem for Intersection Families

โœ Scribed by Leonard J. Schulman


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
224 KB
Volume
15
Category
Article
ISSN
0195-6698

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


The Intersection Theorem for Direct Prod
โœ R. Ahlswede; H. Aydinian; L.H. Khachatrian ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 196 KB
An Asymptotic Complete Intersection Theo
โœ Christian Bey; Konrad Engel ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 145 KB

Let N (n, k) be the set of all n-tuples over the alphabet {0, 1, . . . , k} whose component sum equals . A subset F โІ N (n, k) is called a t-intersecting family if every two tuples in F have nonzero entries in at least t common coordinates. We determine the maximum size of a t-intersecting family in

Vanishing Theorems for Complete Intersec
โœ Craig Huneke; David A Jorgensen; Roger Wiegand ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 135 KB

The main focus of his paper was to understand when the tensor product M m N of finitely generated modules M and N over a regular local ring R R is torsion-free. This condition forces the vanishing of a certain Tor module associated with M and N, which in turn, by Auslander's famous R ลฝ . rigidity th

An intersection theorem for systems of s
โœ A. V. Kostochka ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 346 KB ๐Ÿ‘ 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

A product theorem for row-complete Latin
โœ Jeff Higham ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 136 KB

In this article it is shown how to construct a row-complete latin square of order mn, given one of order m and given a sequencing of a group of order n. This yields infinitely many new orders for which row-complete latin squares can be constructed.