Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Belousov, Ivan Nikolaevich
Senior Researcher
Candidate of physico-mathematical sciences (2007)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
E-mail:
Keywords: strongly regular graph, distance-regular graphs, automorphisms.
UDC: 519.14, 512.54, 519.17

Subject:

Combinatorially symmetric graphs, automorphisms of graphs.
   
Main publications:
  1. I. N. Belousov, A. A. Makhnev, “O reberno regulyarnykh grafakh s $k\ge 3b_1-3$”, Algebra i analiz, 18:4 (2006), 10–38
  2. I. N. Belousov, A. A. Makhnev, “Ob avtomorfizmakh obobschennogo vosmiugolnika poryadka (2,4)”, Matem. zametki, 84:4 (2008), 516–526
  3. I. N. Belousov, A. A. Makhnev, “Ob avtomorfizmakh obobschennogo shestiugolnika poryadka (3,27)”, Tr. IMM, 15:2 (2009), 34–44
  4. I. N. Belousov, “O silno regulyarnykh grafakh s $\mu=1$ i ikh avtomorfizmakh. II”, Tr. IMM, 13:4 (2007), 27–33

https://www.mathnet.ru/eng/person21608
List of publications on Google Scholar

Publications in Math-Net.Ru Citations
2022
1. A. A. Makhnev, I. N. Belousov, “On distance-regular graphs of diameter $3$ with eigenvalue $0$”, Mat. Tr., 25:2 (2022),  162–173  mathnet; Siberian Adv. Math., 33:1 (2023), 56–65
2. A. A. Makhnev, I. N. Belousov, M. P. Golubyatnikov, “On $Q$-polynomial Shilla graphs with $b = 4$”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:2 (2022),  176–186  mathnet  elib
3. I. N. Belousov, A. A. Makhnev, N. A. Minigulov, “Open problems formulated at the International Algebraic Conference Dedicated to the 90th Anniversary of A. I. Starostin”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:1 (2022),  269–275  mathnet  elib
4. Alexander A. Makhnev, Ivan N. Belousov, Konstantin S. Efimov, “On distance-regular graphs of diameter $3$ with eigenvalue $\theta= 1$”, Ural Math. J., 8:2 (2022),  127–132  mathnet  mathscinet  elib
2021
5. A. A. Makhnev, I. N. Belousov, M. P. Golubyatnikov, M. S. Nirova, “Three infinite families of Shilla graphs do not exist”, Dokl. RAN. Math. Inf. Proc. Upr., 498 (2021),  45–50  mathnet  zmath  elib; Dokl. Math., 103:3 (2021), 133–138  scopus
6. A. A. Makhnev, I. N. Belousov, D. V. Paduchikh, “Inverse problems of graph theory: graphs without triangles”, Sib. Èlektron. Mat. Izv., 18:1 (2021),  27–42  mathnet
7. Alexander A. Makhnev, Ivan N. Belousov, “Shilla graphs with $b = 5$ and $b = 6$”, Ural Math. J., 7:2 (2021),  51–58  mathnet  mathscinet  elib  scopus 3
2020
8. N. V. Maslova, I. N. Belousov, N. A. Minigulov, “Open questions formulated at the 13th School-Conference on Group Theory Dedicated to V. A. Belonogov's 85th Birthday”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:3 (2020),  275–285  mathnet  elib 3
9. I. N. Belousov, A. A. Makhnev, “Inverse problems in the class of Q-polynomial graphs”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:3 (2020),  14–22  mathnet  elib
2019
10. I. N. Belousov, A. A. Makhnev, M. S. Nirova, “On $Q$-polynomial distance-regular graphs $\Gamma$ with strongly regular graphs $\Gamma_2$ and $\Gamma_3$”, Sib. Èlektron. Mat. Izv., 16 (2019),  1385–1392  mathnet 3
11. I. N. Belousov, A. A. Makhnev, “Distance-regular graph with intersection array $\{105,72,24;1,12,70\}$ does not exist”, Sib. Èlektron. Mat. Izv., 16 (2019),  206–216  mathnet 4
12. I. N. Belousov, M. S. Nirova, “International conference “Algebra, Number Theory, and Mathematical Modeling of Dynamic Systems” devoted to the occasion of 70th birthday of A. Kh. Zhurtov”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:4 (2019),  283–287  mathnet  elib 1
13. I. N. Belousov, A. A. Makhnev, “Inverse Problems in the Theory of Distance-Regular Graphs: Dual 2-Designs”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:4 (2019),  44–51  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 313, suppl. 1 (2021), S14–S20  isi  scopus
2018
14. I. N. Belousov, A. A. Makhnev, “Distance-regular graphs with intersectuion arrays $\{42,30,12;1,6,28\}$ and $\{60,45,8;1,12,50\}$ do not exist”, Sib. Èlektron. Mat. Izv., 15 (2018),  1506–1512  mathnet 8
15. I. N. Belousov, “Automorphisms of Shilla graph with intersection array $\{115,96,16;1,8,92\}$”, Sib. Èlektron. Mat. Izv., 15 (2018),  733–740  mathnet
16. I. N. Belousov, A. S. Kondrat'ev, A. V. Rozhkov, “The 12th school-conference on group theory dedicated to the 65th birthday of A.A. Makhnev (Gelendzhik, May 13-20, 2018)”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:3 (2018),  286–295  mathnet  elib 2
17. I. N. Belousov, “Shilla distance-regular graphs with $b_2 = sc_2$”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:3 (2018),  16–26  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 307, suppl. 1 (2019), S23–S33  isi 5
18. I. N. Belousov, “Codes in Shilla distance-regular graphs”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:2 (2018),  34–39  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 305, suppl. 1 (2019), S4–S9  isi  scopus
2017
19. I. N. Belousov, A. A. Makhnev, “Automorphism groups of small distance-regular graphs”, Algebra Logika, 56:4 (2017),  395–405  mathnet; Algebra and Logic, 56:4 (2017), 261–268  isi  scopus 1
20. A. A. Makhnev, I. N. Belousov, “To the theory of Shilla graphs with $b_2=c_2$”, Sib. Èlektron. Mat. Izv., 14 (2017),  1135–1146  mathnet 5
2016
21. I. N. Belousov, A. A. Makhnev, “Automorphisms of a distance-regular graph with intersection array $\{176,150,1;1,25,176\}$”, Sib. Èlektron. Mat. Izv., 13 (2016),  754–761  mathnet 2
22. I. N. Belousov, “On automorphisms of a distance-regular graph with intersection array $\{99,84,1;1,12,99\}$”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:3 (2016),  23–30  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 19–26  isi  scopus 1
23. I. N. Belousov, A. A. Makhnev, “On automorphisms of distance-regular graphs with intersection arrays $\{2r+1,2r-2,1;1,2,2r+1\}$”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016),  28–37  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 85–94  isi  scopus
2015
24. I. N. Belousov, “On automorphisms of a distance-regular graph with intersection array $\{39,36,1;1,2,39\}$”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:3 (2015),  54–62  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 295, suppl. 1 (2016), 28–37  isi
25. I. N. Belousov, A. A. Makhnev, “Strongly uniform extensions of dual 2-designs”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:1 (2015),  35–45  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 293, suppl. 1 (2016), 32–42  isi  scopus 1
2014
26. I. N. Belousov, “On automorphisms of a generalized hexagon of order $(t,t)$”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:2 (2014),  44–54  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 42–53  isi  scopus 1
2009
27. I. N. Belousov, A. A. Makhnev, “Оn automorphisms of the generalized hexagon of order (3,27)”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:2 (2009),  34–44  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 267, suppl. 1 (2009), S33–S43  isi 4
2008
28. I. N. Belousov, A. A. Makhnev, “On Automorphisms of a Generalized Octagon of Order $(2,4)$”, Mat. Zametki, 84:4 (2008),  516–526  mathnet  mathscinet  zmath  elib; Math. Notes, 84:4 (2008), 483–492  isi  scopus 3
2007
29. I. N. Belousov, “О сильно регулярных графах с $\mu=1$ и их автоморфизмах. II”, Trudy Inst. Mat. i Mekh. UrO RAN, 13:4 (2007),  27–33  mathnet  elib 1
30. I. N. Belousov, A. A. Makhnev, “A distance-regular graph with the intersection array $\{8,7,5;1,1,4\}$ and its automorphisms”, Trudy Inst. Mat. i Mekh. UrO RAN, 13:1 (2007),  44–56  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 257, suppl. 1 (2007), S47–S60  scopus 2
2006
31. I. N. Belousov, A. A. Makhnev, “On edge-regular graphs with $k\ge 3b_1-3$”, Algebra i Analiz, 18:4 (2006),  10–38  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 18:4 (2007), 517–538 1

Presentations in Math-Net.Ru
1. Обобщенные многоугольники, симметричные графы и их группы автоморфизмов
I. N. Belousov
Research Seminar of the Department of Higher Algebra MSU
November 25, 2019

Organisations
 
  Contact us:
  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024