✦ LIBER ✦
Singular points in pair covers and their relation to Hadamard designs
✍ Scribed by R.C. Mullin; Dan Wevrick
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 351 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
A (k, A)-cover of order v is a family of k-subsets of a v-set V which has the property that each pair from V occurs in at least A of the k-subsets. Su-lh a fam.! i y is :3/d to be minimum if no other such family has fewer subsets. A point x of V is said to be singular in a minimum cover if every pair containing x occurs in exactly 1 + 1 subsets. Criteria for the existence of minimum covers containing singular points are given, and a family of such designs associated with Hadamard designs is discussed.