On uniform Higmanian association schemes
Combinatorics
2026-05-11 v1
Abstract
An imprimitive symmetric indecomposable association scheme of rank is said to be Higmanian. In the present paper, we prove a necessary and sufficient condition for a Higmanian association scheme with two nontrivial parabolics to be uniform. We also provide examples of uniform Higmanian Cayley schemes.
Cite
@article{arxiv.2605.07679,
title = {On uniform Higmanian association schemes},
author = {Grigory Ryabov},
journal= {arXiv preprint arXiv:2605.07679},
year = {2026}
}
Comments
12 pages