Group divisible designs with two associate classes: n=2 or m=2
Journal of Combinatorial Theory Series A
On Group-Divisible Designs with Block Size Four and Group-Type gum1
Designs, Codes and Cryptography
4-Cycle Group-Divisible Designs with Two Associate Classes
Combinatorics, Probability and Computing
A systematic approach to some block design constructions
Journal of Combinatorial Theory Series A
Minimizing SONET ADMs in Unidirectional WDM Rings with Grooming Ratio Seven
SIAM Journal on Discrete Mathematics
| Hi-index | 0.00 |
Partially balanced incomplete block designs (PBIBDs) have a long history and have been extensively used in agriculture and industrial experiments. Since the book of Clatworthy on two-associate-class partially balanced designs was published in 1973, little progress has been made on the construction of these designs. Group divisible designs (GDDs) are an important type of PBIBD with two associate classes. The existence of a GDD with block size $k=3$ was completely settled by Fu, Rodger, and Sarvate. In their works, the most difficult case to solve was when the number of groups, $m$, is less than the block size $k$. The existence of GDDs when $m