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COMBINATORICS
2004

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

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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 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.
Peter Danziger, Brett Stevens
Added 17 Dec 2010
Updated 17 Dec 2010
Type Journal
Year 2004
Where COMBINATORICS
Authors Peter Danziger, Brett Stevens
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