Group Divisible Designs with Two Associate Classes:n=2 orm=2

Hung-Lin Fu; C. A. Rodger

doi:10.1006/jcta.1998.2868

Group Divisible Designs with Two Associate Classes:n=2 orm=2

Hung-Lin Fu^*, C. A. Rodger

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

50 Scopus citations

Abstract

In this paper we find necessary and sufficient conditions for the existence of a group divisible design GDD(n, m) of index (λ₁, λ₂) in whichn=2 orm=2, thereby completing the solution of the existence problem for alln,m,λ₁, andλ₂. In the process, necessary and sufficient conditions are found for the existence of anx-regular partial triple system whose complement inλK_nhas a 1-factorization.

Original language	English
Pages (from-to)	94-117
Number of pages	24
Journal	Journal of Combinatorial Theory. Series A
Volume	83
Issue number	1
DOIs	https://doi.org/10.1006/jcta.1998.2868
State	Published - 1 Jul 1998

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abstract = "In this paper we find necessary and sufficient conditions for the existence of a group divisible design GDD(n, m) of index (λ1, λ2) in whichn=2 orm=2, thereby completing the solution of the existence problem for alln,m,λ1, andλ2. In the process, necessary and sufficient conditions are found for the existence of anx-regular partial triple system whose complement inλKnhas a 1-factorization.",

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