IJPAM: Volume 71, No. 3 (2011)
TWO ASSOCIATE CLASSES AND
School of Mathematics
Suranaree University of Technology
Nakhon Ratchasima, 30000, THAILAND
School of Science and Technology
University of the Thai Chamber of Commerce
Dindaeng, Bangkok, 10400, THAILAND
Abstract. Necessary and sufficient conditions for the existence of Group divisible designs with two groups of unequal sizes and block size tree with , are here considered. We find that the necessary conditions, derived from graph theoretic conditions, are sufficient as well. We present some constructions to prove sufficiency.
Received: June 3, 2011
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