IJPAM: Volume 81, No. 1 (2012)
ASSOCIATE CLASSES AND WITH TWO UNEQUAL GROUPS
School of Science and Technology
University of the Thai Chamber of Commerce
Dindaeng, Bangkok, 10400, THAILAND
Abstract. A group divisible design is an ordered triple where is a -set of symbols, is a partition of into sets of sizes , each set being called group, and is a collection of -subsets (called blocks) of , such that each pair of symbols from the same group occurs in exactly blocks; and each pair of symbols from different groups occurs in exactly blocks. In this paper, we find necessary and sufficient conditions for the existence of a with .
Received: August 19, 2012
AMS Subject Classification: 05B05, 05B07
Key Words and Phrases: graph decomposition, group divisible design
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395