Embeddings of Resolvable Group Divisible Designs with Block Size \(3\) and for All \(\lambda\)

Jun Shen 1, Hao Shen2
1College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201620, People’s Republic of China
2Department of Mathematics, Shanghai Jiao Tong University Shanghai 200240, People’s Republic of China

Abstract

This paper investigates the embedding problem for resolvable group divisible designs with block size \(3\). The necessary and sufficient conditions are determined for all \(\lambda \geq 1\).