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Mednykh Ilʹya Aleksandrovich

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Science activity

Articles - 18 , Conference theses - 1 , Conference attendances - 5


Articles (18) More info

1 Mednykh A.D. , Mednykh I.A. , Sokolova G.K.
One can hear a discrete rectangular torus
Вестник Омского университета. 2025. V.30. N1. P.4-11. DOI: 10.24147/1812-3996.2025.1.4-11 РИНЦ OpenAlex
2 Kwon Y.S. , Mednykh A. , Медных И.А.
On the Structure of Laplacian Characteristic Polynomial of Circulant Graphs
Doklady Mathematics. 2024. V.109. N1. P.25–29. DOI: 10.1134/s1064562424701771 WOS Scopus РИНЦ OpenAlex
3 Mednykh A.D. , Mednykh I.A.
The Kirchhoff indices for circulant graphs
Siberian Mathematical Journal. 2024. V.65. N6. P.1359-1372. DOI: 10.1134/S0037446624060107 WOS Scopus РИНЦ OpenAlex
4 Mednykh A. , Mednykh I.
Complexity of circulant graphs with non-fixed jumps, its arithmetic properties and asymptotics
Ars Mathematica Contemporanea. 2023. V.23. N1. #P1.08 :1-16. DOI: 10.26493/1855-3974.2530.e7c WOS Scopus РИНЦ OpenAlex
5 Grunwald L.A. , Mednykh A.D. , Mednykh I.A.
Spectral invariants of graphs and their applications to combinatorics
Вестник Омского университета. 2023. V.28. N5. P.13-25. DOI: 10.24147/1812-3996.2023.5.13-25 РИНЦ OpenAlex
6 Mednykh A.D. , Mednykh I.A.
Cyclic coverings of graphs. Counting rooted spanning forests and trees, Kirchhoff index, and Jacobians
Russian Mathematical Surveys. 2023. V.78. N3. P.501-548. DOI: 10.4213/rm10098e WOS Scopus РИНЦ OpenAlex
7 Kwon Y.S. , Mednykh A.D. , Mednykh I.A.
On Jacobian group and complexity of the Y-graph
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2022. V.19. N2. P.662-673. DOI: 10.33048/semi.2022.19.055 WOS Scopus РИНЦ
8 Grunwald L.A. , Kwon Y.S. , Mednykh I.A.
Counting rooted spanning forests for circulant foliation over a graph
Tohoku Mathematical Journal. 2022. V.74. N4. P.535-548. DOI: 10.2748/tmj.20210810 WOS Scopus РИНЦ OpenAlex
9 Mednykh А. , Mednykh I. , Yudin I.
On Jacobian group of the Δ-graph
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences. 2022. V.5. N4. 2 :1-13. DOI: 10.56017/2181-1318.1233 РИНЦ OpenAlex
10 Grunwald L.A. , Mednykh I.
The number of rooted forests in circulant graphs
Ars Mathematica Contemporanea. 2022. V.22. N4. #P4.10 . DOI: 10.26493/1855-3974.2029.01d WOS Scopus РИНЦ OpenAlex
11 Mednykh A.D. , Mednykh I.A.
Plans’ Periodicity Theorem for Jacobian of Circulant Graphs
Doklady Mathematics. 2021. V.103. N3. P.139-142. DOI: 10.1134/S1064562421030121 WOS Scopus OpenAlex
12 Kwon Y.S. , Mednykh A.D. , Mednykh I.A.
Complexity of the circulant foliation over a graph
Journal of Algebraic Combinatorics. 2021. V.53. N1. P.115-129. DOI: 10.1007/s10801-019-00921-7 WOS Scopus OpenAlex
13 Mednykh I.A. , Grunwald L.A.
On the Jacobian group of a cone over a circulant graph
Математические заметки СВФУ (Mathematical Notes of NEFU). 2021. V.28. N2. P.88-101. DOI: 10.25587/SVFU.2021.32.84.006 Scopus OpenAlex
14 Mednykh A.D. , Mednykh I.A.
On Rationality of Generating Function for the Number of Spanning Trees in Circulant Graphs
Algebra Colloquium. 2020. V.27. N1. P.87-94. DOI: 10.1142/S1005386720000085 WOS Scopus OpenAlex
15 Mednykh A. , Mednykh I.
Two Moore’s Theorems for Graphs
Rendiconti dell'Istituto di Matematica dell'Universita di Trieste. 2020. V.52. P.469-476. DOI: 10.13137/2464-8728/30918 Scopus OpenAlex
16 Abrosimov N.V. , Baigonakova G.A. , Grunwald L.A. , Mednykh I.A.
Counting rooted spanning forests in cobordism of two circulant graphs
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2020. V.17. P.814-823. DOI: 10.33048/semi.2020.17.059 WOS Scopus OpenAlex
17 Mednykh A.D. , Mednykh I.A.
The number of spanning trees in circulant graphs, its arithmetic properties and asymptotic
Discrete Mathematics. 2019. V.342. N6. P.1772-1781. DOI: 10.1016/j.disc.2018.08.030 WOS Scopus OpenAlex
18 Mednykh A.D. , Mednykh I.A.
Asymptotics and Arithmetical Properties of Complexity for Circulant Graphs
Doklady Mathematics. 2018. V.97. N2. P.147-151. DOI: 10.1134/S1064562418020138 WOS Scopus OpenAlex

Conference theses (1) More info

1 Mednykh I.A.
Spectral invariants of circulant graphs
In compilation Международная конференция по геометрическому анализу, посвящённая памяти академика Ю.Г. Решетняка, 23–29 октября 2022 г. Тезисы докладов. – ИПЦ НГУ., 2022. – C.86. – ISBN 9785443713779.

Conference attendances (5) More info

1 Mednykh A.D. , Mednykh I.A.
«Holomorphic mapping of hyperelliptic Riemann surfaces and their generalization»
Конструктивные методы теории римановых поверхностей и приложения, 13-17 ноября 2023, г. Сочи 13-17 Nov 2023
2 Mednykh I.A.
Plans theorems for two-bridge knots of genera one and two
Geometry and Topology of 3-Manifolds 17-21 Sep 2022
3 Mednykh I.A.
On the Plans’ theorem for two-bridge knots of genus two
International conference "Conformal Geometry and Low Dimensional Manifolds" 27 Jun - 1 Jul 2022
4 Mednykh A.D. , Mednykh I.A.
On the number of holomorphic maps from one Riemann surface onto anothe
Spring Eastern Virtual Sectional Meeting of the American Mathematical Society, March 19-20, 2022, Special Session on Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics 19-20 Mar 2022
5 Mednykh A.D. , Mednykh I.A.
On the number of holomorphic maps from one Riemann surface onto another
Spring Eastern Virtual Sectional Meeting of the American Mathematical Society, March 19-20, 2022, Special Session on Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics 19-20 Mar 2022

Degrees

2014 - Ph.D.