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Electronic Journal of Combinatorics
Article . 2004 . Peer-reviewed
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Article . 2004
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Article . 2004
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Class-Uniformly Resolvable Group Divisible Structures I: Resolvable Group Divisible Designs

Class-uniformly resolvable group divisible structures. I: Resolvable group divisible designs
Authors: Peter Danziger; Brett Stevens;

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

Abstract

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.

Keywords

resolvable group divisible designs, Combinatorial aspects of packing and covering, Combinatorial aspects of block designs

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold