Resolvable Group Divisible Designs with Large Groups
Date
2016
Authors
Dukes, Peter J.
Lamken, Esther R.
Ling, Alan C. H.
Journal Title
Journal ISSN
Volume Title
Publisher
The Electronic Journal of Combinatorics
Abstract
We prove that the necessary divisibility conditions are sufficient for the existence of resolvable group divisible designs with a fixed number of sufficiently large groups. Our method combines an application of the Rees product construction with a streamlined recursion based on incomplete transversal designs. With similar techniques, we also obtain new results on decompositions of complete multipartite graphs into a prescribed graph.
Description
Keywords
Graph decomposition, Resolvability, Transversal design
Citation
Dukes, P. J., Lamken, E. R., & Ling, A. C. H. (2016). Resolvable Group Divisible Designs with Large Groups. The Electronic Journal of Combinatorics, 24(4). https://doi.org/10.37236/5435