Research interests
Discrete mathematics, algebraic combinatorics,
strongly regular graphs and their generalisations, Cayley graphs.
Journal publications
- 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
- 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. pdf
- 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.
pdf
- 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
- 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).
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