A note about multidesigns and extended designs
✍ Scribed by J. Borges; J. Rifá
- Book ID
- 103056303
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 298 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A blocking set of a design different from a 2-(λ+ 2, λ+ 1, λ) design has at least 3 points. The aim of this note is to establish which 2-(v, k, λ ) designs D with r ≥ 2λ may contain a blocking 3-set. The main results are the following. If D contains a blocking 3-set, then D is one of the following d
Triangle-free quasi-symmetric 2-(v, k,k) designs with intersection numbers x, y; 01, are investigated. It is proved that k ≥ 2 yx -3. As a consequence it is seen that for fixed k, there are finitely many triangle-free quasi-symmetric designs. It is also proved that: k ≤ y( yx)+ x.