BIBD's with block-size seven
β Scribed by H. Hanani
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 481 KB
- Volume
- 77
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For k ! 3 the existence problem forvY 7Y k BIBDs has been completely solved, except when v 253. In this paper, 3 new direct vY 7Y k BIBD constructions are given for vY k 259Y 1Y 106Y 2Y and 253Y 2. Some features of the known 175Y 7Y 1 BIBD are also discussed. Finally, a few vY 7Y 1 BIBDs are obtaine
## Abstract In this paper we give some results on cyclic BIBDs with block size 4. It is proved that a cyclic __B__(4,1;4__^n^ u__) exists where __u__ is a product of primes congruent to 1 modulo 6 and __n__ is a positive integer and __n__ββ₯β3. In the case of __n__β=β2, we also give some partial res
## Abstract The necessary conditions for the existence of a resolvable BIBD RB(__k__,Ξ»; __v__) are Ξ»(__v__ β 1) = 0(mod __k__ β 1) and __v__ = 0(mod __k__). In this article, it is proved that these conditions are also sufficient for __k__ = 8 and Ξ» = 7, with at most 36 possible exceptions. Β© 1994 J
## Abstract In a (__v, k__, Ξ»: __w__) incomplete block design (IBD) (or PBD [__v, {k, w__^\*^}. Ξ»]), the relation __v__ β₯ (__k__ β 1)__w__ + 1 must hold. In the case of equality, the IBD is referred to as a block design with a large hole, and the existence of such a configuration is equivalent to t