Modified group divisible designs with block size 5 and even index
โ Scribed by R. Julian R. Abel; Ahmed M. Assaf
- Book ID
- 108113849
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 223 KB
- Volume
- 308
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ 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. ยฉ 2005 Wil
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.
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.