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α-Resolvable group divisible designs with block size three

✍ Scribed by Yan Zhang; Beiliang Du

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
123 KB
Volume
13
Category
Article
ISSN
1063-8539

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✦ Synopsis

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(k − 1), bk = rtu, k|α__tu__ and α|r. It is shown in this paper that these conditions are also sufficient when k = 3, with some definite exceptions. © 2004 Wiley Periodicals, Inc.

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