English

Reconstructing a generalized quadrangle from the Penttila-Williford $4-$class association scheme

Combinatorics 2022-05-12 v1

Abstract

Penttila and Williford constructed a 44-class association scheme from a generalized quadrangle with a doubly subtended subquadrangle. We show that an association scheme with appropriate parameters and satisfying some assumption about maximal cliques must be the Penttila-Williford scheme.

Cite

@article{arxiv.2205.05350,
  title  = {Reconstructing a generalized quadrangle from the Penttila-Williford $4-$class association scheme},
  author = {Giusy Monzillo and Alessandro Siciliano},
  journal= {arXiv preprint arXiv:2205.05350},
  year   = {2022}
}
R2 v1 2026-06-24T11:13:59.349Z