6 citations · 31 across the 22 of their papers we have counts for
27 papers
On circulant ternary coherent configurations of prime degree
Gang Chen, Qing Ren, Ilia Ponomarenko
Ternary coherent configurations are, on the one hand, a special case of multidimensional coherent configurations introduced by L. Babai (2016), and, on the other hand, a natural ge…
On the Weisfeiler-Leman dimension of some polyhedral graphs
Haiyan Li, Ilia Ponomarenko, Peter Zeman
Let be a positive integer, a graph with vertex set , and the coloring of the Cartesian -power , obtained by the -dimensional Weisfeiler-Leman…
On multidimensional Schur rings of finite groups
Gang Chen, Qing Ren, Ilia Ponomarenko
For any finite group and a positive integer , we define andstudy a Schur ring over the direct power , which gives an algebraic interpretation of the partition of …
On the WL-dimension of circulant graphs of prime power order
Ilia Ponomarenko
The WL-dimension of a graph X is the smallest positive integer m such that the m-dimensional Weisfeiler-Leman algorithm correctly tests the isomorphism between X and any other grap…
On pseudofrobenius imprimitive association schemes
Ilia Ponomarenko, Grigory Ryabov
An (association) scheme is said to be Frobenius if it is the scheme of a Frobenius group. A scheme which has the same tensor of intersection numbers as some Frobenius scheme is sai…
On a huge family of non-schurian Schur rings
Akihide Hanaki, Takuto Hirai, Ilia Ponomarenko
In his famous monograph on permutation groups, H.~Wielandt gives an example of a Schur ring over an elementary abelian group of order ( is a prime), which is non-schuria…