We investigate the spectrum for {4}-GDDs of type g u m 1 . We determine, for each admissible pair (g, u) (with some exceptions), the maximum and minimum values of m for which a {4}-GDD of type g u m 1 exists.
Small group-divisible designs with block size four
β Scribed by D.L. Kreher; D.R. Stinson
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 310 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0378-3758
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper we study the group-divisible designs with block size four on at most 30 points. For all but three of the possible group types, we determine the existence or non-existence of the design.
π SIMILAR VOLUMES
## 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
## 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