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Ponomarenko, Ilia Nikolaevich
Statistics Math-Net.Ru
Total publications: 36
Scientific articles: 36
Presentations: 1

Number of views:
This page:1332
Abstract pages:9832
Full texts:3435
References:1047
Head Scientist Researcher
Doctor of physico-mathematical sciences (2006)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Birth date: 17.10.1957
E-mail:
Keywords: algebraic combinatorics, permutation groups, computational complexity.
   
Main publications:
  • Evdokimov S. A., Ponomarenko I. N, Vershik A. M., Algebras in Plancherel duality and algebraic combinatorics // Functional Analyses and its Applications, 1997, 31, 4, 34–46.
  • Evdokimov S. A., Karpinski M., Ponomarenko I. N. Compact cellular algebras and permutation groups // Discrete Mathematics, 1999, 197/198, 247–267 (This paper has been selected for Discrete Mathematics-Editor's Choice, 1999).
  • Evdokimov S. A., Ponomarenko I. N. On a family of Schur rings over a finite cyclic group // Algebra and Analysis, 2001, 13, 3, 139–154.

https://www.mathnet.ru/eng/person17913
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/213021

Publications in Math-Net.Ru Citations
2021
1. A. V. Vasilev, I. N. Ponomarenko, “The closures of wreath products in product action”, Algebra Logika, 60:3 (2021),  286–297  mathnet; Algebra and Logic, 60:3 (2021), 188–195  isi  scopus 3
2020
2. I. N. Ponomarenko, “On the separability of cyclotomic schemes over finite fields”, Algebra i Analiz, 32:6 (2020),  124–146  mathnet; St. Petersburg Math. J., 32:6 (2021), 1051–1066 2
2019
3. B. Asadian, I. Ponomarenko, “On schurian fusions of the association scheme of a Galois affine plane of prime order”, Zap. Nauchn. Sem. POMI, 478 (2019),  5–16  mathnet
2018
4. I. N. Ponomarenko, G. K. Ryabov, “Abelian Schur groups of odd order”, Sib. Èlektron. Mat. Izv., 15 (2018),  397–411  mathnet  isi 3
2017
5. S. Evdokimov, M. Muzychuk, I. Ponomarenko, “A family of permutation groups with exponentially many nonconjugated regular elementary Abelian subgroups”, Algebra i Analiz, 29:4 (2017),  45–52  mathnet  mathscinet  elib; St. Petersburg Math. J., 29:4 (2018), 575–580  isi  scopus 1
6. I. Ponomarenko, A. Vasil'ev, “Testing isomorphism of central Cayley graphs over almost simple groups in polynomial time”, Zap. Nauchn. Sem. POMI, 455 (2017),  154–180  mathnet; J. Math. Sci. (N. Y.), 234:2 (2018), 219–236 2
2016
7. S. Evdokimov, I. Ponomarenko, “On the separability problem for circulant S-rings”, Algebra i Analiz, 28:1 (2016),  32–51  mathnet  mathscinet  elib; St. Petersburg Math. J., 28:1 (2017), 21–35  isi  scopus 7
8. M. E. Muzychuk, I. N. Ponomarenko, G. Chen, “The Schur–Wielandt theory for central $S$-rings”, Algebra Logika, 55:1 (2016),  58–74  mathnet  elib; Algebra and Logic, 55:1 (2016), 38–49  isi  scopus 3
2015
9. M. Muzychuk, I. Ponomarenko, “On Schur $2$-groups”, Zap. Nauchn. Sem. POMI, 435 (2015),  113–162  mathnet  mathscinet; J. Math. Sci. (N. Y.), 219:4 (2016), 565–594 11
2013
10. S. Evdokimov, I. Kovács, I. Ponomarenko, “Characterization of cyclic Schur groups”, Algebra i Analiz, 25:5 (2013),  61–85  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 25:5 (2014), 755–773  isi  scopus 13
2012
11. S. A. Evdokimov, I. N. Ponomarenko, “Schurity of $\mathrm S$-rings over a cyclic group and generalized wreath product of permutation groups”, Algebra i Analiz, 24:3 (2012),  84–127  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 24:3 (2013), 431–460  isi  elib  scopus 25
12. I. N. Ponomarenko, “Bases of schurian antisymmetric coherent configurations and isomorphism test for schurian tournaments”, Zap. Nauchn. Sem. POMI, 402 (2012),  108–147  mathnet  mathscinet; J. Math. Sci. (N. Y.), 192:3 (2013), 316–338  scopus 7
2009
13. S. A. Evdokimov, I. N. Ponomarenko, “Schemes of relations of the finite projective plane, and their extensions”, Algebra i Analiz, 21:1 (2009),  90–132  mathnet  mathscinet  zmath; St. Petersburg Math. J., 21:1 (2010), 65–93  isi  scopus 6
2007
14. S. A. Evdokimov, I. N. Ponomarenko, “Normal cyclotomic schemes over a finite commutative ring”, Algebra i Analiz, 19:6 (2007),  59–85  mathnet  mathscinet  zmath; St. Petersburg Math. J., 19:6 (2008), 911–929  isi 4
15. I. N. Ponomarenko, A. Rahnamai Barghi, “On the structure of $p$-schemes”, Zap. Nauchn. Sem. POMI, 344 (2007),  190–202  mathnet  mathscinet; J. Math. Sci. (N. Y.), 147:6 (2007), 7227–7233  scopus 2
2006
16. I. N. Ponomarenko, A. Rahnamai Barghi, “On amorphic $C$-algebras”, Zap. Nauchn. Sem. POMI, 340 (2006),  87–102  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 145:3 (2007), 4981–4988  scopus 7
2005
17. I. N. Ponomarenko, “Finding the automorphism group of a circulant association scheme in polynomial time”, Zap. Nauchn. Sem. POMI, 321 (2005),  251–267  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 136:3 (2006), 3972–3979  scopus 1
2004
18. S. A. Evdokimov, I. N. Ponomarenko, “On the vertex connectivity of a relation in association scheme”, Zap. Nauchn. Sem. POMI, 316 (2004),  55–62  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 134:5 (2006), 2354–2357 1
2003
19. S. A. Evdokimov, I. N. Ponomarenko, “Polynomial time recognition and verification of isomorphism of circular graphs”, Algebra i Analiz, 15:6 (2003),  1–34  mathnet  mathscinet  zmath; St. Petersburg Math. J., 15:6 (2004), 813–835 39
2002
20. S. A. Evdokimov, I. N. Ponomarenko, “Characterization of cyclotomic schemes and normal Schur rings over a cyclic group”, Algebra i Analiz, 14:2 (2002),  11–55  mathnet  mathscinet  zmath; St. Petersburg Math. J., 14:2 (2003), 189–221 49
21. D. Yu. Grigor'ev, I. N. Ponomarenko, “On non-abelian homomorphic public-key cryptosystems”, Zap. Nauchn. Sem. POMI, 293 (2002),  39–58  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 126:3 (2005), 1158–1166 3
22. S. A. Evdokimov, I. N. Ponomarenko, “Rings associated to finite projective planes and thier isomorphisms”, Zap. Nauchn. Sem. POMI, 289 (2002),  207–213  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 124:1 (2004), 4792–4795 1
2001
23. S. A. Evdokimov, I. N. Ponomarenko, “On a family of Shur rings over a finite cyclic group”, Algebra i Analiz, 13:3 (2001),  139–154  mathnet  mathscinet  zmath; St. Petersburg Math. J., 13:3 (2002), 441–451 31
1999
24. S. A. Evdokimov, I. N. Ponomarenko, “On primitive cellular algebras”, Zap. Nauchn. Sem. POMI, 256 (1999),  38–68  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 107:5 (2001), 4172–4191 11
1997
25. A. M. Vershik, S. A. Evdokimov, I. N. Ponomarenko, “Algebras in Plancherel Duality and Algebraic Combinatorics”, Funktsional. Anal. i Prilozhen., 31:4 (1997),  34–46  mathnet  mathscinet  zmath; Funct. Anal. Appl., 31:4 (1997), 252–261  isi 11
26. S. A. Evdokimov, I. N. Ponomarenko, “Two inequalities for parameters of a cellular algebra”, Zap. Nauchn. Sem. POMI, 240 (1997),  82–95  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 96:5 (1999), 3496–3504 10
27. A. M. Vershik, S. A. Evdokimov, I. N. Ponomarenko, “$C$-algebras and algebras in Plancherel duality”, Zap. Nauchn. Sem. POMI, 240 (1997),  53–66  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 96:5 (1999), 3478–3485 4
1996
28. V. M. Buchstaber, A. M. Vershik, S. A. Evdokimov, I. N. Ponomarenko, “Combinatorial Algebras and Multivalued Involutive Groups”, Funktsional. Anal. i Prilozhen., 30:3 (1996),  12–18  mathnet  mathscinet  zmath; Funct. Anal. Appl., 30:3 (1996), 158–162  isi 19
1995
29. S. A. Evdokimov, I. N. Ponomarenko, “Transitive groups with irreducible representations of bounded degree”, Zap. Nauchn. Sem. POMI, 223 (1995),  108–119  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 87:6 (1997), 4046–4053 2
1994
30. I. N. Ponomarenko, “On estimate of the order of primitive permutation groups”, Zap. Nauchn. Sem. POMI, 215 (1994),  256–263  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 85:1 (1997), 1722–1726
1992
31. I. N. Ponomarenko, “On computation complexity problems concerning relation algebras”, Zap. Nauchn. Sem. POMI, 202 (1992),  116–134  mathnet  mathscinet  zmath; J. Math. Sci., 79:3 (1996), 1105–1114
1991
32. I. N. Ponomarenko, “Polynomial-time recognizing and isomorphism testing for cyclic tournaments”, Zap. Nauchn. Sem. LOMI, 192 (1991),  74–111  mathnet  mathscinet  zmath; J. Math. Sci., 70:4 (1994), 1890–1911
1989
33. I. N. Ponomarenko, “The isomorphism problem for classes of graphs”, Dokl. Akad. Nauk SSSR, 304:3 (1989),  552–556  mathnet  mathscinet  zmath; Dokl. Math., 39:1 (1989), 119–122 1
1988
34. I. N. Ponomarenko, “Isomorphism problem for classes of graphs closed under contractions”, Zap. Nauchn. Sem. LOMI, 174 (1988),  147–177  mathnet  mathscinet  zmath; J. Soviet Math., 55:2 (1991), 1621–1643 32
1984
35. I. N. Ponomarenko, “Polynomial isomorphism algorithm for graphs which are not contracted to $K_{3,g}$.”, Zap. Nauchn. Sem. LOMI, 137 (1984),  99–114  mathnet  mathscinet  zmath

Presentations in Math-Net.Ru
1. The Weisfeiler-Leman dimension and the isomorphism problem for concrete categories
I. N. Ponomarenko
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
November 16, 2023 13:00   

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