Resolvable Mendelsohn designs with block size 4
β Scribed by F. E. Bennett; X. Zhang
- Book ID
- 105466627
- Publisher
- Springer
- Year
- 1990
- Tongue
- English
- Weight
- 646 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0001-9054
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A Mendelsohn design MD(v, k, Ξ») is a pair (X, B) where X is a v-set together with a collection B of cyclic k-tuples from X such that each ordered pair from X, as adjacent entries, is contained in exactly Ξ»k-tuples of B. The existence of SCMD(v, 3, Ξ») and SCMD(v, 4, 1) has been settled by us. In thi
Dedicated to Professor Haim Hanani on the occasion of his 75th birthday
## Abstract A group divisible design __GD__(__k__,Ξ»,__t__;__tu__) is Ξ±βresolvable if its blocks can be partitioned into classes such that each point of the design occurs in precisely Ξ± blocks in each class. The necessary conditions for the existence of such a design are Ξ»__t__(__u__βββ1)β=β__r__(__
## Abstract A resolvable modified group divisible design (RMGDD) is an MGDD whose blocks can be partitioned into parallel classes. In this article, we investigate the existence of RMGDDs with block size three and show that the necessary conditions are also sufficient with two exceptions. Β© 2005 Wil