## 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__(__
Incomplete group divisible designs with block size four
β Scribed by J. Wang
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 141 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1063-8539
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β¦ Synopsis
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 possible exceptions. Β© 2003 Wiley Periodicals, Inc. J Combin Designs 11: 442β455, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/jcd.10055
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