English

Bivariate $P$-polynomial association schemes

Combinatorics 2024-07-10 v3

Abstract

Bivariate P-polynomial association scheme of type (α,β)(\alpha,\beta) are defined as a generalization of the P-polynomial association schemes. This generalization is shown to be equivalent to a set of conditions on the intersection parameters. A number of known higher rank association schemes are seen to belong to this broad class. Bivariate Q-polynomial association schemes are similarly defined.

Keywords

Cite

@article{arxiv.2212.10824,
  title  = {Bivariate $P$-polynomial association schemes},
  author = {P. -A. Bernard and N. Crampe and L. Poulain d'Andecy and L. Vinet and M. Zaimi},
  journal= {arXiv preprint arXiv:2212.10824},
  year   = {2024}
}
R2 v1 2026-06-28T07:46:16.583Z