The Asymptotic Existence of Resolvable Group Divisible Designs
β Scribed by Justin H. Chan; Peter J. Dukes; Esther R. Lamken; Alan C.H. Ling
- Book ID
- 112120492
- Publisher
- John Wiley and Sons
- Year
- 2012
- Tongue
- English
- Weight
- 556 KB
- Volume
- aop
- Category
- Article
- ISSN
- 1063-8539
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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