## 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
An application of modified group divisible designs
β Scribed by Ahmed M Assaf
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 821 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The following result gives a partial answer to a question of R. M. Wilson regarding the existence of group divisible designs of large order. Let k and u be positive integers, 2 [ k [ u. Then there exists an integer m 0 =m 0 (k, u) such that there exists a group divisible design of group type m u wit
Arasu, K.T. and A. Pott, Some constructions of group divisible designs with Singer groups, Discrete Mathematics 97 (1991) 39-45. Let D be a Menon difference set in a group G with parameters (4u2, 2~' -u, u\* -u) and T a divisible difference set (DDS) with parameters (m. n, k, A,, A,) in a group H re
## Abstract In this article, we first show that a group divisible 3βdesign with block sizes from {4, 6}, index unity and groupβtype 2^__m__^ exists for every integer __m__β₯ 4 with the exception of __m__β=β5. Such group divisible 3βdesigns play an important role in our subsequent complete solution t
## Abstract For the existence problem of __OGDDs__ of type __g^u^__, Colbourn and Gibbons settled it with few possible exceptions for each group size __g__. In this article, we will completely settle it for __g__ββ€β6. Β© 2006 Wiley Periodicals, Inc. J Combin Designs