## 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. © 2005 Wil
Modified group divisible designs with block size 4 and λ = 1
✍ Scribed by Ahmed M. Assaf; Ruizhong Wei
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 446 KB
- Volume
- 195
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper it is shown that the MGD[4, 1, m, mn] exist when (m -1 )(n -1 ) -1 (mod 3) and n,m>~4 with some possible exceptions.
📜 SIMILAR VOLUMES
## Abstract The object of this paper is the construction of incomplete group divisible designs (IGDDs) with block size four, group‐type (__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
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.
## Abstract A group divisible design __GD__(__k__,λ,__t__;__tu__) is α‐resolvable if its blocks can be partitioned into classes such that each point of the design occurs in precisely α blocks in each class. The necessary conditions for the existence of such a design are λ__t__(__u__ − 1) = __r__(__