A lower bound for the Weisfeiler-Leman dimension of circulant graphs
Combinatorics
2025-12-16 v2
Abstract
It is proved that for infinitely many positive integers n, there exists a circulant graph of order n whose Weisfeiler-Leman dimension is at least c\sqrt{log n} for some positive constant c not depending on n.
Cite
@article{arxiv.2507.10116,
title = {A lower bound for the Weisfeiler-Leman dimension of circulant graphs},
author = {Yulai Wu and Qing Ren and Ilia Ponomarenko},
journal= {arXiv preprint arXiv:2507.10116},
year = {2025}
}