Research interests

Finite simple groups, finite permutation groups, claw-free graphs, strongly regular graphs, Deza graphs, divisible design graphs, Star graphs, equitable partitions and eigenfunctions of graphs, Paley graphs and their generalisations.

Preprints

  • S. V. Goryainov, V. V. Kabanov, E. V. Konstantinova, L. V. Shalaginov, A. A. Valyuzhenich, PI-eigenfunctions of the Star graphs, February 2018. arXiv:1802.06611, submitted to Linear Algebra and its Applications.

Journal publications

  1. 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

  2. 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

  3. V. V. Kabanov, N. V. Maslova, L. V. Shalaginov, On strictly Deza graphs with parameters $(n,k,k-1,a)$, European Journal of Combinatorics. doi.org/10.1016/j.ejc.2018.07.011

  4. V. V. Kabanov, A. V. Mityanina, Claw-free strictly Deza graphs, Sib. Elektron. Mat. Izv. (Siberian Electronic Mathematical Reports), 2017, Volume 14, pages 367-387. doi.org/10.17377/semi.2017.14.030

  5. 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

  6. V. V. Kabanov, A. V. Mityanina, Strictly Deza line graphs, Proceedings of the Steklov Institute of Mathematics, June 2014, Volume 285, Supplement 1, pages 78-90. doi.org/10.1134/S0081543814050083

  7. 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

  8. V. V. Kabanov, A. A. Makhnev, On graphs in which all neighborhoods of vertices are locally pseudocyclic graphs, Doklady Mathematics, January 2014, Volume 89, Issue 1, pages 76-79. doi.org/10.1134/S1064562414010219

  9. V. V. Kabanov, Graphs and transitive permutation groups, AIP Conference Proceedings 1281, 908 (2010). doi.org/10.1063/1.3498638

  10. V. V. Kabanov, L. V. Shalaginov, On Deza graphs with parameters of lattice graphs, Trudy Inst. Mat. i Mekh. UrO RAN, 2010, Volume 16, Number 3, pages 117-120 (in Russian). pdf

  11. V. V. Kabanov, A. A. Makhnev, D. V. Paduchikh, On strongly regular graphs with eigenvalue 2 and their extensions, Doklady Mathematics, April 2010, Volume 81, Issue 2, pages 268-271. doi.org/10.1134/S1064562410020298

  12. G. M. Ermakova, V. V. Kabanov, A characterization of one class of graphs without 3-claws, Proceedings of the Steklov Institute of Mathematics, December 2009, Volume 267, Supplement 1, pages 62-77. doi.org/10.1134/S0081543809070074

  13. V. V. Kabanov, S. V. Unegov, Amply regular graphs with Hoffman's condition, Proceedings of the Steklov Institute of Mathematics, July 2009, Volume 264, Supplement 1, pages 150-154. doi.org/10.1134/S0081543809050125

  14. V. V. Kabanov, A. A. Makhnev, D. V. Paduchikh, 3-crown-free graphs with certain regularity conditions, Trudy Inst. Mat. i Mekh. UrO RAN, 2008, Volume 14, Number 4, pages 53-69 (in Russian). pdf

  15. G. M. Ermakova, V. V. Kabanov, E. Sh. Sibirzyanova, Wenbin Guo, Properties of graphs without induced $K_{1,3}$-subgraphs, Trudy Inst. Mat. i Mekh. UrO RAN, 2008, Volume 14, Number 4, pages 43-52 (in Russian). pdf

  16. V. V. Kabanov, S. V. Unegov, Strongly regular graphs with Hoffman's condition, Proceedings of the Steklov Institute of Mathematics, July 2008, Volume 261, Supplement 1, pages 107-112. doi.org/10.1134/S008154380805009X

  17. Na Tang, Wenbin Guo, V. V. Kabanov, The influence of $s$-semipermutable subgroups on the structure of finite groups, Proceedings of the Steklov Institute of Mathematics, July 2007, Volume 257, Supplement 1, pages 189-194. doi.org/10.1134/S0081543807050148

  18. V. V. Kabanov, A. A. Makhnev, D. V. Paduchikh, Characterization of certain distance-regular graphs by forbidden subgraphs, Doklady Mathematics, June 2007, Volume 75, Issue 3, pages 420-423. doi.org/10.1134/S1064562407030234

  19. V. V. Kabanov, I. A. Vakula, On graphs without 3-claws with non-clique $\mu$-subgraphs, Diskretnyi Analiz i Issledovanie Operatsii (Discrete Analysis and Operations Research), Ser. 1, 2005, Volume 12, Number 4, pages 3-22 (in Russian). pdf

  20. V. V. Kabanov, I. A. Vakula, The lower domination parameters in inflation of graphs of radius 1, Discrete Mathematics, February 2004, Volume 276, Issues 1-3, pages 269-272. doi.org/10.1016/S0012-365X(03)00310-8

  21. V. V. Kabanov, A. A. Makhnev, D. V. Paduchikh, On graphs without crowns with regular $\mu$-subgraphs, II, Mathematical Notes, September 2003, Volume 74, Issue 3-4, pp 375-384. doi.org/10.1023/A:1026158819378

  22. V. V. Kabanov, Domination and irredundance in graphs with restrictions on blocks, Diskretnyi Analiz i Issledovanie Operatsii (Discrete Analysis and Operations Research), 2000, Volume 7, Number 2, pages 12-20 (in Russian). pdf

  23. V. V. Kabanov, I. A. Vakula, The lower domination parameters in inflated graphs, Electronic Notes in Discrete Mathematics, July 2000, Volume 5, pages 196-197. doi.org/10.1016/S1571-0653(05)80161-1

  24. V. V. Kabanov, On graphs without crowns with regular $\mu$-subgraphs, Mathematical Notes, June 2000, Volume 67, Issue 6, pp 736-742. doi.org/10.1007/BF02675628

  25. V. V. Kabanov, Characterization of triangular and lattice graphs, Siberian Mathematical Journal, October 1998, Volume 39, Issue 5, pp 908-912. doi.org/10.1007/BF02672912

  26. V. V. Kabanov, A. A. Makhnev, Coedge regular graphs without 3-stars, Mathematical Notes, October 1996, Volume 60, Issue 4, pp 372-377. doi.org/10.1007/BF02305419

  27. V. V. Kabanov, A. A. Makhnev, On separated graphs with certain regularity conditions, SB MATH, Volume 187 (1996), Number 10, pages 1487-1501. doi.org/10.1070/SM1996v187n10ABEH000165

  28. V. V. Kabanov, Intersections of Sylow 2-subgroups of finite groups, Mathematical Notes of the Academy of Sciences of the USSR, November 1978, Volume 24, Issue 5, pages 829-831. doi.org/10.1007/BF01141538

  29. V. V. Kabanov, A. A. Makhnev, A. I. Starostin, Finite groups with normal intersections of Sylow 2-subgroups, Algebra and Logic, November 1976, Volume 15, Issue 6, pages 409-412. doi.org/10.1007/BF01877481

  30. V. V. Kabanov, Finite groups with large intersections of sylow 2-subgroups, Siberian Mathematical Journal, September 1976, Volume 17, Issue 5, pages 878-878. doi.org/10.1007/BF00966389

  31. V. V. Kabanov, A. I. Starostin, Finite groups in which a Sylow two-subgroup of the centralizer of some involution is of order 16, Mathematical Notes of the Academy of Sciences of the USSR, December 1975, Volume 18, Issue 6, pages 1105-1108. doi.org/10.1007/BF01099990

  32. V. V. Kabanov, V. D. Mazurov, S. A. Syskin, Finite simple groups whose Sylow 2-subgroups possess an extra-special subgroup of index 2, Mathematical Notes of the Academy of Sciences of the USSR, July 1973, Volume 14, Issue 1, pages 629-632. doi.org/10.1007/BF01095784

  33. V. V. Kabanov, Finite groups with a self-centralizing subgroup of order 6 and one class of involutions, Algebra and Logic, September 1972, Volume 11, Issue 5, pages 284-293. doi.org/10.1007/BF02330741

  34. V. V. Kabanov, Finite groups with a self-centralizing subgroup of order 6, Algebra and Logic, September 1972, Volume 11, Issue 5, pages 280-283. doi.org/10.1007/BF02330740
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