On the Weisfeiler-Leman dimension of permutation graphs
Combinatorics
2023-05-26 v1 Computational Complexity
Discrete Mathematics
Abstract
It is proved that the Weisfeiler-Leman dimension of the class of permutation graphs is at most 18. Previously it was only known that this dimension is finite (Gru{\ss}ien, 2017).
Cite
@article{arxiv.2305.15861,
title = {On the Weisfeiler-Leman dimension of permutation graphs},
author = {Jin Guo and Alexander L. Gavrilyuk and Ilia Ponomarenko},
journal= {arXiv preprint arXiv:2305.15861},
year = {2023}
}