On the separability of cyclotomic schemes over finite field
Combinatorics
2020-06-25 v1
Abstract
It is proved that with finitely many possible exceptions, each cyclotomic scheme over finite field is determined up to isomorphism by the tensor of 2-dimensional intersection numbers; for infinitely many schemes, this result cannot be improved. As a consequence, the Weisfeiler-Leman dimension of a Paley graph or tournament is at most 3 with possible exception of several small graphs.
Keywords
Cite
@article{arxiv.2006.13592,
title = {On the separability of cyclotomic schemes over finite field},
author = {Ilia Ponomarenko},
journal= {arXiv preprint arXiv:2006.13592},
year = {2020}
}
Comments
17 pages