A method of constructing pairwise balanced designs containing parallel classes
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909150976409600 |
|---|---|
| author | Stinson, Douglas R. |
| author_facet | Stinson, Douglas R. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17602 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A method of constructing pairwise balanced designs containing parallel classes Stinson, Douglas R. Combinatorics 05B05 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. |
| title | A method of constructing pairwise balanced designs containing parallel classes |
| topic | Combinatorics 05B05 |
| url | https://arxiv.org/abs/2403.17602 |