Detailed introduction

1、Educational experience

2011: Specialist in Mathematics, Chelyabinsk State University

2015: PhD in Mathematics, Krasovskii Institute of Mathematics and Mechanics (Russian Academy of Sciences)

2、Research work experience

October 2021 – present: associate professor at Hebei Normal University

November 2017 - October 2020: postdoctoral researcher at Shanghai Jiao Tong University. Host Professor: Yaokun Wu

October 2016 - March 2022: docent at Chelyabinsk State University

July 2015 - January 2021: researcher at Krasovskii Institute of Mathematics and Mechanics

December 2012 - June 2015: junior researcher at Krasovskii Institute of Mathematics and Mechanics

September 2012 - October 2016: lecturer at Chelyabinsk State University

3、Teaching situation

Undergraduate courses: Graph theory

Graduate courses: Introductory combinatorics

4、Undertake scientific research projects

“Vertex-transitive Deza graphs”, 2016-2017, Russian Foundation for Basic Research, host

“Combinatorial and algebraic studies of graphs, partitions, designs and their links”, 2019, National Natural Science Foundation of China, host

“Extremal problems on the spectral graph theory”, 2020-2021, joint China-Russia project of National Natural Science Foundation of China and Russian Foundation for Basic Research, host on the Russian side

5、Research results（papers）：

S. Goryainov, A. Masley, L. Shalaginov, On a correspondence between maximal cliques in Paley graphs of square order, Discrete Mathematics, Volume 345, Issue 6, June 2022, 112853. doi.org/10.1016/j.disc.2022.112853

S. Goryainov, D. Panasenko, L. Shalaginov, Enumeration of strictly Deza graphs with at most 21 vertices, Siberian Electronic Mathematical Reports, 8(2) (2021), pages 1423-1432. doi.org/10.33048/semi.2021.18.107

D. Fan, S. Goryainov, X. Huang, H. Lin, The spanning $k$-trees, perfect matchings and spectral radius of graphs, Linear and Multilinear Algebra. doi.org/10.1080/03081087.2021.1985055

D. Fan, S. Goryainov, H. Lin, On the (signless Laplacian) spectral radius of minimally k-(edge)-connected graphs for small k, Discrete Applied Mathematics, Volume 305, December 2021, pages 154-163. doi.org/10.1016/j.dam.2021.09.002

S. V. Goryainov, E. V. Konstantinova, H. Li, D. Zhao, Integral graphs obtained by dual Seidel switching, Linear Algebra and Its Applications, Volume 604, November 2020, pages 476-489. doi.org/10.1016/j.laa.2020.07.010

S. V. Goryainov, V. V. Kabanov, E. V. Konstantinova, L. V. Shalaginov, A. A. Valyuzhenich, PI-eigenfunctions of the Star graphs, Linear Algebra and Its Applications, Volume 586, February 2020, pages 7-27. doi.org/10.1016/j.laa.2019.10.018

S. V. Goryainov, D. I. Panasenko, On vertex connectivity of Deza graphs with parameters of complements to Seidel graphs, European Journal of Combinatorics, Volume 80, August 2019, pages 143-150. doi.org/10.1016/j.ejc.2018.10.006

R. J. Evans, S. V. Goryainov, D. I. Panasenko, The smallest strictly Neumaier graph and its generalisations, The Electronic Journal of Combinatorics, 26(2) (2019), #P2.29.  

S. V. Goryainov, W. H. Haemers, V. V. Kabanov, L. V. Shalaginov, Deza graphs with parameters $(n,k,k-1,a)$ and $\beta = 1$, Journal of Combinatorial Designs, Volume 17, Issue 3, March 2019, pages 188-202. doi.org/10.1002/jcd.21644

R. A. Bailey, P. J. Cameron, A. L. Gavrilyuk, S. V. Goryainov, Equitable partitions of Latin-square graphs, Journal of Combinatorial Designs, Volume 17, Issue 3, March 2019, pages 142-160. doi.org/10.1002/jcd.21634

S. V. Goryainov, V. V. Kabanov, L. V. Shalaginov, A. A. Valyuzhenich, On eigenfunctions and maximal cliques of Paley graphs of square order, Finite Fields and Their Applications, Volume 52, pages 361-369, July 2018. doi.org/10.1016/j.ffa.2018.05.001

S. V. Goryainov, G. S. Isakova, V. V. Kabanov, N. V. Maslova, L. V. Shalaginov, On Deza graphs with disconnected second neighborhood of a vertex, Proceedings of the Steklov Institute of Mathematics July 2017, Volume 297 Supplement 1, pages 97-107. doi.org/10.1134/S008154381705011X

S. V. Goryainov, On isomorphism between distance-regular graphs, Siberian Electronic Mathematical Reports, 11 (2014), pages 311-320.  

S. V. Goryainov, L. V. Shalaginov, Cayley-Deza graphs, on less than 60 vertices, Siberian Electronic Mathematical Reports, 11 (2014), pages 268-310 (in Russian).

A. L. Gavrilyuk, S. V. Goryainov, V. V. Kabanov, On the vertex connectivity of Deza graphs, Proceedings of the Steklov Institute of Mathematics, June 2014, Volume 285, Supplement 1, pages 68-77. doi.org/10.1134/S0081543814050071

S. V. Goryainov, L. V. Shalaginov, On Deza graphs with triangular and lattice graph complements as parameters, Applied and Industrial Mathematics, July 2013, Volume 7, Issue 3, pages 355-362. doi.org/10.1134/S1990478913030083

A. L. Gavrilyuk, S. V. Goryainov, On perfect 2-colorings of Johnson graphs J(v,3), Journal of Combinatorial Designs, Volume 21, Issue 6, pages 232-252, June 2013. doi.org/10.1002/jcd.21327

S. V. Goryainov, L. V. Shalaginov, On Deza graphs with 14, 15 and 16 vertices, Siberian Electronic Mathematical Reports, 8 (2011), pages 105-115 (in Russian).