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Group divisible designs with two associate classes and λ2 = 2
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Scopus
University of the Thai Chamber of Commerce
Date Issued
2009
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University of the Thai Chamber of Commerce. Research Support Office
Abstract
A group divisible design GDD(v, g, κ, λ1, λ2) is a collection of λsubsets (called blocks) of a vset of symbols where the vset is divided into g groups: each pair of symbols from the same group occurs in exactly λ1 blocks, and each pair of symbols from different groups occurs in exactly λ2 blocks. Here, we focus on an existence problem of GDDs with two associate classes orwhen g = 2, and with blocks of size 3, when the required designs have two groups of unequal sizes and λ2 = 2. We obtain the necessary conditions and prove that these conditions are sufficient.
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University of the Thai Chamber of Commerce
Bibliographic Citation
C. Uiyyasathian, W. Lapchinda (2009) Group divisible designs with two associate classes and λ2 = 2. International Journal of Pure and Applied Mathematics Vol.55 No.4, 561-568.
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