English

On few-class $Q$-polynomial association schemes: feasible parameters and nonexistence results

Combinatorics 2019-08-28 v1

Abstract

We present the tables of feasible parameters of primitive 33-class QQ-polynomial association schemes and 44- and 55-class QQ-bipartite association schemes (on up to 28002800, 1000010000, and 5000050000 vertices, respectively), accompanied by a number of nonexistence results for such schemes obtained by analysing triple intersection numbers of putative open cases.

Keywords

Cite

@article{arxiv.1908.10081,
  title  = {On few-class $Q$-polynomial association schemes: feasible parameters and nonexistence results},
  author = {Alexander L. Gavrilyuk and Janoš Vidali and Jason S. Williford},
  journal= {arXiv preprint arXiv:1908.10081},
  year   = {2019}
}