Quasi-residual 2-designs,(1 frac{1}{2})-designs, and strongly regular multigraphs
β Scribed by Arnold Neumaier
- Book ID
- 104641758
- Publisher
- Springer
- Year
- 1982
- Tongue
- English
- Weight
- 687 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0046-5755
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Generalized Hadamard matrices are used for the construction of a class of quasiβresidual nonresolvable BIBD's with parameters $2\hbox{-}(3^{n}7, 3^{n-1}7, (3^{n-1}7-1)/2), n\ge 2$. The designs are not embeddable as residual designs into symmetric designs if __n__ is even. The constructi
An automorphism of a 2-(v, k, 1) design acts as a permutation of the points and as another of the blocks. We show that the permutation of the blocks has at least as many cycles, of lengths n > k, as the permutation of the points. Looking at Steiner triple systems we show that this holds for all n un