A method of constructing pairwise balanced designs containing parallel classes
Combinatorics
2024-03-27 v1
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.
Keywords
Cite
@article{arxiv.2403.17602,
title = {A method of constructing pairwise balanced designs containing parallel classes},
author = {Douglas R. Stinson},
journal= {arXiv preprint arXiv:2403.17602},
year = {2024}
}