On uniform partial group divisible designs with block size three.

• Main Author: Zhang, Luchan
• Other Authors: Chee Yeow Meng
• Format: Theses and Dissertations
• Language: English
• Published: 2012
• Subjects: DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics
• Online Access: http://hdl.handle.net/10356/50613
• Institution: Nanyang Technological University

Group divisible designs (GDDs) play a crucial role in the development of combinatorial design theory. We know that GDDs require that each pair of points in distinct groups occurs in exactly $\lambda$ blocks. If this requirement is relaxed, i.e., each pair of points in distinct groups occurs in at mo...