𝔖 Bobbio Scriptorium
✦   LIBER   ✦

BIBD's with block-size seven

✍ Scribed by H. Hanani


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
481 KB
Volume
77
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


Coloring BIBDs with block size 4
✍ VΓ‘clav Linek; Evan B. Wantland πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 394 KB
Some new BIBDs with block size 7
✍ R. Julian R. Abel πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 83 KB

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

Some cyclic BIBDs with block size four
✍ Yanxun Chang πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 92 KB

## 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__ β‰₯ 3. In the case of __n__ = 2, we also give some partial res

Resolvable BIBDs with block size 8 and i
✍ Steven Furino; Malcolm Greig; Ying Miao; Jianxing Yin πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 728 KB

## Abstract The necessary conditions for the existence of a resolvable BIBD RB(__k__,Ξ»; __v__) are Ξ»(__v__ βˆ’ 1) = 0(mod __k__ βˆ’ 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

Block designs with large holes and Ξ± -re
✍ Steven C. Furino; Ronald C. Mullin πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 610 KB

## Abstract In a (__v, k__, Ξ»: __w__) incomplete block design (IBD) (or PBD [__v, {k, w__^\*^}. Ξ»]), the relation __v__ β‰₯ (__k__ βˆ’ 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