English

On intriguing sets of the Penttila-Williford association scheme

Combinatorics 2019-02-12 v1

Abstract

We investigate intriguing sets of an association scheme introduced by Penttila and Williford (2011) that was the basis for their construction of primitive cometric association schemes that are not PP-polynomial nor the dual of a PP-polynomial scheme. In particular, we give examples and characterisation results for the four types of intriguing sets that arise in this scheme.

Keywords

Cite

@article{arxiv.1902.03695,
  title  = {On intriguing sets of the Penttila-Williford association scheme},
  author = {John Bamberg and Klaus Metsch},
  journal= {arXiv preprint arXiv:1902.03695},
  year   = {2019}
}