Group divisible designs with two associate classes and with two unequal groups

Publisher(s)
Scopus
University of the Thai Chamber of Commerce
Date Issued
2012
Author(s)
Other Contributor(s)
University of the Thai Chamber of Commerce. Research Support Office
Abstract
A group divisible design GDD(m, n; 3, λ 1, λ 2) is an ordered triple (V,G,B), where V is a m + nset of symbols, G is a partition of V into 2 sets of sizes m, n, each set being called group, and B is a collection of 3subsets(called blocks) of V , such that each pair of symbols from the same group occurs in exactly λ 1 blocks; and each pair of symbols from different groups occurs in exactly λ 2 blocks. In this paper, we find necessary and sufficient conditions for the existence of a GDD(m, n; 3, λ 1, λ 2) with λ 1 ≥ λ 2.
Subject(s)
Mathematics (General)
Subjects
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University of the Thai Chamber of Commerce
Bibliographic Citation
N. Pabhapote (2012) Group divisible designs with two associate classes and with two unequal groups. International Journal of Pure and Applied Mathematics Vol.81 No.1, 191-198.
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