A method of constructing pairwise balanced designs containing parallel classes

Douglas R. Stinson

Type: Preprint

Publication Date: 2024-03-26

Citations: 0

DOI: https://doi.org/10.48550/arxiv.2403.17602

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.

Locations

arXiv (Cornell University) - View - PDF

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