Job title:Associate Professor
Email:44g@mail.ru, sergey.goryainov3@gmail.com
Research areas:Algebraic graph theory
Personal profile:https://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
· 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. 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
· 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
· 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, 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
· 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
· 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, On isomorphism between distance-regular graphs, SiberianElectronic Mathematical Reports, 11 (2014), pages 311-320.
· 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
· 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).