Geodesic
Class-uniformly resolvable group divisible structures. I: Resolvable group divisible designs
The electronic journal of combinatorics, Tome 11 (2004) no. 1
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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.
DOI : 10.37236/1776
Classification : 05B05, 05B40
Mots-clés : resolvable group divisible designs 
@article{10_37236_1776,
     author = {Peter Danziger and Brett Stevens},
     title = {Class-uniformly resolvable group divisible structures. {I:} {Resolvable} group divisible designs},
     journal = {The electronic journal of combinatorics},
     year = {2004},
     volume = {11},
     number = {1},
     doi = {10.37236/1776},
     zbl = {1053.05013},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1776/}
}
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Peter Danziger; Brett Stevens. Class-uniformly resolvable group divisible structures. I: Resolvable group divisible designs. The electronic journal of combinatorics, Tome 11 (2004) no. 1. doi: 10.37236/1776

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