## 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__(__
A new class of group divisible designs with block size three
β Scribed by Charles J Colbourn; Dean G Hoffman; Rolf Rees
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 949 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## 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
We determine a necessary and sufficient condition for the existence of a cyclic {3} -GDD with a uniform group size g. Recursive and new computational methods are introduced to settle this problem completely.
## Abstract The object of this paper is the construction of incomplete group divisible designs (IGDDs) with block size four, groupβtype (__g, h__)^__u__^ and index unity. It is shown that the necessary conditions for the existence of such an IGDD are also sufficient with three exceptions and six po
Dedicated to Professor Haim Hanani on the occasion of his 75th birthday