29 citations · 112 across the 24 of their papers we have counts for
10 papers · 1 filter
The group is a DCI-group
István Kovács, Grigory Ryabov
We prove that the group is a DCI-group for distinct primes and , that is, two Cayley digraphs over are isomorphic if and only if their c…
Existence of non-Cayley Haar graphs
Yan-Quan Feng, István Kovács, Jie Wang +1
A Cayley graph of a group is a finite simple graph such that its automorphism group contains a subgroup isomorphic to acting regularly on , while a…
-property for decomposable Schur rings over an abelian group
István Kovács, Grigory Ryabov
A Schur ring over a finite group is said to be decomposable if it is the generalized wreath product of Schur rings over smaller groups. In this paper we establish a sufficient cond…
Cubic arc-transitive -circulants
Michael Giudici, István Kovács, Cai Heng Li +1
For an integer , a graph is called a -circulant if its automorphism group contains a cyclic semiregular subgroup with orbits on the vertices. We show that, if i…
Classification of reflexibile regular Cayley maps for dihedral groups
István Kovács, Young Soo Kwon
In this paper, we classify reflexible regular Cayley maps for dihedral groups.
Arc-transitive cubic abelian bi-Cayley graphs and BCI-graphs
Hiroki Koike, István Kovács
A finite simple graph is called a bi-Cayley graph over a group if it has a semiregular automorphism group, isomorphic to which has two orbits on the vertex set. Cubic vert…