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Research interests

Discrete mathematics, algebraic combinatorics, strongly regular graphs and their generalisations, Cayley graphs.


Journal publications

  1. 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 http://doi.org/10.1016/j.laa.2020.07.010

  2. 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

  3. 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

  4. 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. pdf

  5. 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

  6. 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

  7. 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

  8. 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

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

  10. 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). pdf

  11. 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

  12. 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

  13. 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

  14. 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). pdf