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DM
2002
114views more  DM 2002»
13 years 4 months ago
Existence of resolvable group divisible designs with block size four I
It is proved in this paper that for m 0; 2; 6; 10 (mod 12) there exists a resolvable group divisible design of order v, block size 4 and group size m if and only v 0 (mod 4), v ...
Hao Shen, Jiaying Shen
COMBINATORICS
2004
121views more  COMBINATORICS 2004»
13 years 4 months ago
Class-Uniformly Resolvable Group Divisible Structures I: Resolvable Group Divisible Designs
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 o...
Peter Danziger, Brett Stevens
COMBINATORICS
2004
243views more  COMBINATORICS 2004»
13 years 4 months ago
Class-Uniformly Resolvable Group Divisible Structures II: Frames
We consider Class-Uniformly Resolvable frames (CURFs), which are group divisible designs with partial resolution classes subject to the class-uniform condition. We derive the nece...
Peter Danziger, Brett Stevens
GC
2002
Springer
13 years 4 months ago
Uniform Group Divisible Designs with Block Sizes Three and n
The existence of group divisible designs of type gt with block sizes three and n, 4 n 10, is completely settled for all values of g and t.
Yeow Meng Chee, Alan C. H. Ling
DCC
2008
IEEE
14 years 4 months ago
On vector space partitions and uniformly resolvable designs
Let Vn(q) denote a vector space of dimension n over the field with q elements. A set P of subspaces of Vn(q) is a partition of Vn(q) if every nonzero vector in Vn(q) is contained ...
Andrew Blinco, Saad El-Zanati, G. F. Seelinger, P....