2 papers
math.CO2025
A lower bound for the Weisfeiler-Leman dimension of circulant graphs
Yulai Wu, Qing Ren, Ilia Ponomarenko
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 co…
math.CO2024
On the Weisfeiler-Leman dimension of circulant graphs
Yulai Wu, Ilia Ponomarenko
A circulant graph is a Cayley graph of a finite cyclic group. The Weisfeiler-Leman-dimension of a circulant graph with respect to the class of all circulant graphs is the small…