8 citations · 40 across the 21 of their papers we have counts for
24 papers
The Jacobian of a graph and graph automorphisms
István Estélyi, Ján Karabáš, Alexander Mednykh +1
In the present paper we investigate the faithfulness of certain linear representations of groups of automorphisms of a graph in the group of symmetries of the Jacobian of .…
On Jacobian group and complexity of the Y-graph
Y. S. Kwon, A. D. Mednykh, I. A. Mednykh
In the present paper we suggest a simple approach for counting Jacobian group of the -graph In the case the structure of the Jacobian group will…
A general construction of strictly Neumaier graphs and a related switching
Rhys J. Evans, Sergey Goryainov, Elena V. Konstantinova +1
We present a construction of Neumaier graphs with nexus 1, which generalises two known constructions of Neumaier graphs. We also use W. Wang, L. Qiu, and Y. Hu switching to show th…
Euclidean volumes of hyperbolic knots
Nikolay Abrosimov, Alexander Kolpakov, Alexander Mednykh
The hyperbolic structure on a 3-dimensional cone-manifold with a knot as singularity can often be deformed into a limiting Euclidean structure. In the present paper we show that th…
On a representation of the automorphism group of a graph in a unimodular group
István Estelyi, Ján Karabáš, Alexander Mednykh +1
We investigate a representation of the automorphism group of a connected graph in the group of unimodular matrices of dimension , where is the Betti number of grap…
On the coverings of closed non-orientable Euclidean manifolds and
G. Chelnokov, A. Mednykh
There are only 10 Euclidean forms, that is flat closed three dimensional manifolds: six are orientable and four are non-orientable $\mathcal{B}_…