# zbMATH — the first resource for mathematics

## Mednykh, Il’ya Aleksandrovich

Compute Distance To:
 Author ID: mednykh.ilya-a Published as: Mednykh, I. A.; Mednykh, Il’ya A.; Mednykh, Il’ya Aleksandrovich; Mednykh, Ilia; Mednykh, Ilya; Mednykh, Ilya A. External Links: Math-Net.Ru · ORCID · ResearchGate · dblp
 Documents Indexed: 28 Publications since 2009
all top 5

#### Co-Authors

 7 single-authored 17 Mednykh, Aleksandr Dmitrievich 4 Abrosimov, Nikolaĭ Vladimirovich 2 Baĭgonakova, Gal’ya Amanboldynovna 2 Kwon, Young Soo 2 Nedela, Roman 2 Tetenov, Andreĭ Viktorovich 1 Aseev, Vladislav Vasil’evich 1 Deryagina, Madina 1 Gromadzki, Grzegorz 1 Grunwald, Liliya Aleksandrovna 1 Vesnin, Andrei Yu. 1 Zindinova, M. A.
all top 5

#### Serials

 6 Doklady Mathematics 5 Sibirskie Èlektronnye Matematicheskie Izvestiya 3 Siberian Mathematical Journal 3 Ars Mathematica Contemporanea 2 Discrete Mathematics 1 Mathematical Notes 1 Russian Mathematical Surveys 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Linear Algebra and its Applications 1 Algebra Colloquium 1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 1 Proceedings of the Steklov Institute of Mathematics 1 Analysis and Mathematical Physics
all top 5

#### Fields

 20 Combinatorics (05-XX) 12 Functions of a complex variable (30-XX) 8 Difference and functional equations (39-XX) 4 Algebraic geometry (14-XX) 2 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH Open

17 Publications have been cited 46 times in 21 Documents Cited by Year
On Jacobian group and complexity of the generalized Petersen graph $$\mathrm{GP}(n,k)$$ through Chebyshev polynomials. Zbl 1365.05135
Kwon, Y. S.; Mednykh, A. D.; Mednykh, I. A.
2017
On the structure of the Jacobian group for circulant graphs. Zbl 1350.05061
Mednykh, A. D.; Mednykh, Ilya A.
2016
On Wiman’s theorem for graphs. Zbl 1315.05075
Mednykh, Alexander; Mednykh, Ilya
2015
The number of spanning trees in circulant graphs, its arithmetic properties and asymptotic. Zbl 1414.05080
Mednykh, A. D.; Mednykh, I. A.
2019
On Jacobian group and complexity of $$I$$-graph $$I(n, k, l)$$ through Chebyshev polynomials. Zbl 1411.05126
Mednykh, Ilya A.
2018
Asymptotics and arithmetical properties of complexity for circulant graphs. Zbl 1391.05150
Mednykh, A. D.; Mednykh, Ilya A.
2018
A generalization of Hurwitz’ theorem for groups acting on a graph. Zbl 1318.30069
Mednykh, A. D.; Mednykh, I. A.; Nedela, R.
2015
Discrete analogs of Farkas and Accola’s theorems on hyperelliptic coverings of a Riemann surface of genus 2. Zbl 1315.30008
Mednykh, I. A.
2014
On the Jacobian group for Möbius ladder and prism graphs. Zbl 1314.05094
2014
On the Farkas and Accola theorems for graphs. Zbl 1270.30010
Mednykh, I. A.
2013
On the structure of Picard group for Moebius ladder. Zbl 1329.05147
Mednykh, I. A.; Zindinova, M. A.
2011
Classification up to equivalence of the holomorphic mappings of Riemann surfaces of low genus. Zbl 1218.14018
Mednykh, I. A.
2010
On holomorphic maps between Riemann surfaces of genera three and two. Zbl 1251.30043
Mednykh, I. A.
2009
On the Oikawa and Arakawa theorems for graphs. Zbl 1422.31007
Mednykh, A. D.; Mednykh, I. A.; Nedela, R.
2019
Counting spanning trees in cobordism of two circulant graphs. Zbl 1398.05058
Abrosimov, N. V.; Baigonakova, G. A.; Mednykh, I. A.
2018
On $$\gamma$$-hyperellipticity of graphs. Zbl 1339.05321
Mednykh, Alexander; Mednykh, Ilya
2016
On the sharp upper bound for the number of holomorphic mappings of Riemann surfaces of low genus. Zbl 1257.30043
Mednykh, I. A.
2012
The number of spanning trees in circulant graphs, its arithmetic properties and asymptotic. Zbl 1414.05080
Mednykh, A. D.; Mednykh, I. A.
2019
On the Oikawa and Arakawa theorems for graphs. Zbl 1422.31007
Mednykh, A. D.; Mednykh, I. A.; Nedela, R.
2019
On Jacobian group and complexity of $$I$$-graph $$I(n, k, l)$$ through Chebyshev polynomials. Zbl 1411.05126
Mednykh, Ilya A.
2018
Asymptotics and arithmetical properties of complexity for circulant graphs. Zbl 1391.05150
Mednykh, A. D.; Mednykh, Ilya A.
2018
Counting spanning trees in cobordism of two circulant graphs. Zbl 1398.05058
Abrosimov, N. V.; Baigonakova, G. A.; Mednykh, I. A.
2018
On Jacobian group and complexity of the generalized Petersen graph $$\mathrm{GP}(n,k)$$ through Chebyshev polynomials. Zbl 1365.05135
Kwon, Y. S.; Mednykh, A. D.; Mednykh, I. A.
2017
On the structure of the Jacobian group for circulant graphs. Zbl 1350.05061
Mednykh, A. D.; Mednykh, Ilya A.
2016
On $$\gamma$$-hyperellipticity of graphs. Zbl 1339.05321
Mednykh, Alexander; Mednykh, Ilya
2016
On Wiman’s theorem for graphs. Zbl 1315.05075
Mednykh, Alexander; Mednykh, Ilya
2015
A generalization of Hurwitz’ theorem for groups acting on a graph. Zbl 1318.30069
Mednykh, A. D.; Mednykh, I. A.; Nedela, R.
2015
Discrete analogs of Farkas and Accola’s theorems on hyperelliptic coverings of a Riemann surface of genus 2. Zbl 1315.30008
Mednykh, I. A.
2014
On the Jacobian group for Möbius ladder and prism graphs. Zbl 1314.05094
2014
On the Farkas and Accola theorems for graphs. Zbl 1270.30010
Mednykh, I. A.
2013
On the sharp upper bound for the number of holomorphic mappings of Riemann surfaces of low genus. Zbl 1257.30043
Mednykh, I. A.
2012
On the structure of Picard group for Moebius ladder. Zbl 1329.05147
Mednykh, I. A.; Zindinova, M. A.
2011
Classification up to equivalence of the holomorphic mappings of Riemann surfaces of low genus. Zbl 1218.14018
Mednykh, I. A.
2010
On holomorphic maps between Riemann surfaces of genera three and two. Zbl 1251.30043
Mednykh, I. A.
2009
all top 5

#### Cited by 22 Authors

 14 Mednykh, Il’ya Aleksandrovich 11 Mednykh, Aleksandr Dmitrievich 4 Nedela, Roman 2 Abrosimov, Nikolaĭ Vladimirovich 2 Baĭgonakova, Gal’ya Amanboldynovna 2 Kwon, Young Soo 2 Potočnik, Primož 2 Toledo, Micael 1 Chen, Haiyan 1 Ducey, Joshua E. 1 Duncan, David L. 1 Engelbrecht, Wesley J. 1 Glass, Darren B. 1 Gromadzki, Grzegorz 1 Grunwald, Liliya Aleksandrovna 1 Kaplan, Nathan 1 Limonov, Maxim P. 1 Madan, Jawahar V. 1 Mohar, Bojan 1 Piato, Eric 1 Shatford, Christina S. 1 Vichitbandha, Angela
all top 5

#### Cited in 12 Serials

 3 Discrete Mathematics 3 Siberian Mathematical Journal 3 Doklady Mathematics 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Analysis and Mathematical Physics 1 Discrete Applied Mathematics 1 Russian Mathematical Surveys 1 Journal of Combinatorial Theory. Series A 1 European Journal of Combinatorics 1 Linear Algebra and its Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Ars Mathematica Contemporanea
all top 5

#### Cited in 9 Fields

 17 Combinatorics (05-XX) 7 Functions of a complex variable (30-XX) 6 Difference and functional equations (39-XX) 3 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Potential theory (31-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)