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arXiv · 2403.17602

A method of constructing pairwise balanced designs containing parallel classes

Douglas R. Stinson
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Abstract

The obvious way to construct a GDD (group-divisible design) recursively is to use Wilson's Fundamental Construction for GDDs (WFC). Then a PBD (pairwise balanced design) is often obtained by adding a new point to each group of the GDD. However, after constructing such a PBD, it might be the case that we then want to identify a parallel class of blocks. In this short note, we explore some possible ways of doing this.

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Douglas R. Stinson. 2024-03-26. A method of constructing pairwise balanced designs containing parallel classes. https://arxiv.org/abs/2403.17602

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