Uniform Group Divisible Designs with Block Sizes Three and n

2002 ◽  
Vol 18 (3) ◽  
pp. 421-445 ◽  
Author(s):  
Yeow Meng Chee ◽  
Alan C.H. Ling
Keyword(s):  
Group Divisible Designs ◽  
Group Divisible ◽  
Block Sizes ◽  
Uniform Group

scholarly journals A Family of Group Divisible Designs with Arbitrary Block Sizes

2019 ◽  
Vol 23 (6) ◽  
pp. 1291-1302
Author(s):  
Yu-pei Huang ◽  
Chia-an Liu ◽  
Yaotsu Chang ◽  
Chong-Dao Lee
Keyword(s):  
Group Divisible Designs ◽  
Group Divisible ◽  
Block Sizes

scholarly journals Class-Uniformly Resolvable Group Divisible Structures I: Resolvable Group Divisible Designs

10.37236/1776 ◽  
2004 ◽  
Vol 11 (1) ◽  
Author(s):  
Peter Danziger ◽  
Brett Stevens
Keyword(s):  
Necessary Conditions ◽  
Group Divisible Designs ◽  
Group Divisible ◽  
Master Design ◽  
Block Sizes ◽  
Resolvable Group

We consider Class-Uniformly Resolvable Group Divisible Designs (CURGDD), which are resolvable group divisible designs in which each of the resolution classes has the same number of blocks of each size. We derive the fully general necessary conditions including a number of extremal bounds. We present some general constructions including a novel construction for shrinking the index of a master design. We construct a number of infinite families, primarily with block sizes 2 and $k$, including some extremal cases.

A construction of group divisible designs with block sizes 3 to 7

2017 ◽  
Vol 86 (6) ◽  
pp. 1281-1293 ◽  
Author(s):  
Chong-Dao Lee ◽  
Yaotsu Chang ◽  
Chia-an Liu
Keyword(s):  
Group Divisible Designs ◽  
Group Divisible ◽  
Block Sizes

Characterization of Group Divisible Designs

2016 ◽  
Vol 4 (2) ◽  
pp. 161-175
Author(s):  
Jyoti Sharma ◽  
Jagdish Prasad ◽  
D. K. Ghosh
Keyword(s):  
Group Divisible Designs ◽  
Group Divisible
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