Resolvable Group Divisible Designs with Large Groups

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 transversa...

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Bibliographic Details
Published in:The Electronic journal of combinatorics 2016-11, Vol.23 (4)
Main Authors: Dukes, Peter J., Lamken, Esther R., Ling, Alan C.H.
Format: Article
Language:English
Online Access:Get full text
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Summary: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.
ISSN:1077-8926
1077-8926
DOI:10.37236/5435