𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the optimal structure of recovering set pairs in lattices: the sandglass conjecture

✍ Scribed by Rudolf Ahlswede; Gábor Simonyi


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
312 KB
Volume
128
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis


We present a conjecture concerning the optimal structure of a subset pair satisfying two dual requirements in a lattice that can be derived as the product of k finite length chains. The conjecture is proved for k = 2.


📜 SIMILAR VOLUMES


On the maximum number of different order
✍ Jeffrey H. Dinitz; Douglas R. Stinson 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 140 KB 👁 1 views

## Abstract In this paper, we study the problem of constructing sets of __s__ latin squares of order __m__ such that the average number of different ordered pairs obtained by superimposing two of the __s__ squares in the set is as large as possible. We solve this problem (for all __s__) when __m__