Job title：Associate Professor
Email：[email protected], [email protected]
Research areas：Algebraic graph theory
Personal profile：//sgoryainov.github.io/
Education
Ph.D. in Mathematics, Krasovskii Institute of Mathematics and Mechanics(Russian Academy of Sciences), 2015
Specialist degree in Mathematics, Chelyabinsk State University, 2011
Work Experience
October 2021 - present: associate professor at Hebei Normal UniversityOctober 2016 - March 2022: docent at Chelyabinsk State University
November 2017 - October 2020: postdoctoral researcher at Shanghai JiaoTong University. Host Professor: Yaokun Wu
July 2015 - January 2021: researcher at Krasovskii Institute ofMathematics and Mechanics
December 2012 - June 2015: junior researcher at Krasovskii Institute ofMathematics and Mechanics
September 2012 - October 2016: lecturer at Chelyabinsk State University
Publications
Journal papers
· S. Goryainov, C. H. Yip, Extremal Peisert-type graphs without thestrict-EKR property, Journal of Combinatorial Theory, Series A, Volume 206,August 2024, 105887. doi.org/10.1016/j.jcta.2024.105887
· R. J. Evans, S. Goryainov, E. V. Konstantinova, A. D. Mednykh, A generalconstruction of strictly Neumaier graphs and a related switching, DiscreteMathematics, Volume 346, Issue 7, July 2023, 113384.doi.org/10.1016/j.disc.2023.113384
· S. Goryainov, L. Shalaginov, C. H. Yip, On eigenfunctions and maximalcliques of generalised Paley graphs of square order, Finite Fields and TheirApplications, Volume 87, March 2023, 102150. doi.org/10.1016/j.ffa.2022.102150
· S. Asgarli, S. Goryainov, H. Lin, C. H. Yip, The EKR-module property ofpseudo-Paley graphs of square order, The Electronic Journal of Combinatorics,29(4) (2022), #P4.33. doi.org/10.37236/10962
· S. Goryainov, A. Masley, L. Shalaginov, On a correspondence betweenmaximal cliques in Paley graphs of square order, Discrete Mathematics, Volume345, Issue 6, June 2022, 112853. doi.org/10.1016/j.disc.2022.112853
· S. Goryainov, D. Panasenko, L. Shalaginov, Enumeration of strictly Dezagraphs 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, perfectmatchings 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 radiusof minimally k-(edge)-connected graphs for small k, Discrete AppliedMathematics, 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 graphsobtained by dual Seidel switching, Linear Algebra and Its Applications, Volume604, 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 ItsApplications, 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 graphswith parameters of complements to Seidel graphs, European Journal ofCombinatorics, 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 strictlyNeumaier graph and its generalisations, The Electronic Journal ofCombinatorics, 26(2) (2019), #P2.29. doi.org/10.37236/8189
· S. V. Goryainov, W. H. Haemers, V. V. Kabanov, L. V. Shalaginov, Dezagraphs with parameters $(n,k,k-1,a)$ and $\beta = 1$, Journal of CombinatorialDesigns, Volume 27, 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, Equitablepartitions of Latin-square graphs, Journal of Combinatorial Designs, Volume 27,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, Oneigenfunctions and maximal cliques of Paley graphs of square order, FiniteFields 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 297Supplement 1, pages 97-107. doi.org/10.1134/S008154381705011X
· S. V. Goryainov, On isomorphism between distance-regular graphs, SiberianElectronic Mathematical Reports, 11 (2014), pages 311-320.
· S. V. Goryainov, L. V. Shalaginov, Cayley-Deza graphs, on less than 60vertices, Siberian Electronic Mathematical Reports, 11 (2014), pages 268-310(in Russian).
· A. L. Gavrilyuk, S. V. Goryainov, V. V. Kabanov, On the vertexconnectivity of Deza graphs, Proceedings of the Steklov Institute ofMathematics, 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 andlattice 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 graphsJ(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 16vertices, Siberian Electronic Mathematical Reports, 8 (2011), pages 105-115 (inRussian).
