Thickly-resolvable block designs
Date
2016
Authors
Dukes, Peter J.
Ling, Alan C. H.
Malloch, Amanda
Journal Title
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Volume Title
Publisher
The Australasian Journal of Combinatorics
Abstract
We show that the necessary divisibility conditions for the existence ofaσ-resolvable BIBD(v,k,λ) are sufficient for largev. The key idea isto form an auxiliary graph based on an [r,k]-configuration withr=σ,and then edge-decompose the completeλ-fold graphK(λ)vinto this graph.As a consequence, we initiate a similar existence theory for incompletedesigns with indexλ
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Citation
Dukes, P. J., Ling, A. C. H., & Malloch, A. (2016). Thickly-resolvable block designs . The Australasian Journal of Combinatorics, 64(2). https://ajc.maths.uq.edu.au/pdf/64/ajc_v64_p379.pdf