## Abstract A group divisible design __GD__(__k__,ฮป,__t__;__tu__) is ฮฑโresolvable if its blocks can be partitioned into classes such that each point of the design occurs in precisely ฮฑ blocks in each class. The necessary conditions for the existence of such a design are ฮป__t__(__u__โโโ1)โ=โ__r__(__
Resolvable modified group divisible designs with block size three
โ Scribed by Chengmin Wang; Yu Tang; Peter Danziger
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 142 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1063-8539
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โฆ Synopsis
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 Wiley Periodicals, Inc. J Combin Designs 15: 2โ14, 2007
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## Abstract Large sets of disjoint groupโdivisible designs with block size three and type 2^__n__^4^1^ (denoted by __LS__โ(2^__n__^4^1^)) were first studied by Schellenberg and Stinson and motivated by their connection with perfect threshold schemes. It is known that such large sets can exist only