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Ponomarenko Ilia Nikolaevich

Publications in Math-Net.Ru

  1. On the Weisfeiler–Leman dimension of circulant graphs

    Algebra i Analiz, 37:2 (2025),  1–27
  2. On a Family of Multivalued Groups

    Trudy Mat. Inst. Steklova, 326 (2024),  311–313
  3. The closures of wreath products in product action

    Algebra Logika, 60:3 (2021),  286–297
  4. On the separability of cyclotomic schemes over finite fields

    Algebra i Analiz, 32:6 (2020),  124–146
  5. On schurian fusions of the association scheme of a Galois affine plane of prime order

    Zap. Nauchn. Sem. POMI, 478 (2019),  5–16
  6. Abelian Schur groups of odd order

    Sib. Èlektron. Mat. Izv., 15 (2018),  397–411
  7. A family of permutation groups with exponentially many nonconjugated regular elementary Abelian subgroups

    Algebra i Analiz, 29:4 (2017),  45–52
  8. Testing isomorphism of central Cayley graphs over almost simple groups in polynomial time

    Zap. Nauchn. Sem. POMI, 455 (2017),  154–180
  9. On the separability problem for circulant S-rings

    Algebra i Analiz, 28:1 (2016),  32–51
  10. The Schur–Wielandt theory for central $S$-rings

    Algebra Logika, 55:1 (2016),  58–74
  11. On Schur $2$-groups

    Zap. Nauchn. Sem. POMI, 435 (2015),  113–162
  12. Characterization of cyclic Schur groups

    Algebra i Analiz, 25:5 (2013),  61–85
  13. Schurity of $\mathrm S$-rings over a cyclic group and generalized wreath product of permutation groups

    Algebra i Analiz, 24:3 (2012),  84–127
  14. Bases of schurian antisymmetric coherent configurations and isomorphism test for schurian tournaments

    Zap. Nauchn. Sem. POMI, 402 (2012),  108–147
  15. Schemes of relations of the finite projective plane, and their extensions

    Algebra i Analiz, 21:1 (2009),  90–132
  16. Normal cyclotomic schemes over a finite commutative ring

    Algebra i Analiz, 19:6 (2007),  59–85
  17. On the structure of $p$-schemes

    Zap. Nauchn. Sem. POMI, 344 (2007),  190–202
  18. On amorphic $C$-algebras

    Zap. Nauchn. Sem. POMI, 340 (2006),  87–102
  19. Finding the automorphism group of a circulant association scheme in polynomial time

    Zap. Nauchn. Sem. POMI, 321 (2005),  251–267
  20. On the vertex connectivity of a relation in association scheme

    Zap. Nauchn. Sem. POMI, 316 (2004),  55–62
  21. Polynomial time recognition and verification of isomorphism of circular graphs

    Algebra i Analiz, 15:6 (2003),  1–34
  22. Characterization of cyclotomic schemes and normal Schur rings over a cyclic group

    Algebra i Analiz, 14:2 (2002),  11–55
  23. On non-abelian homomorphic public-key cryptosystems

    Zap. Nauchn. Sem. POMI, 293 (2002),  39–58
  24. Rings associated to finite projective planes and thier isomorphisms

    Zap. Nauchn. Sem. POMI, 289 (2002),  207–213
  25. On a family of Shur rings over a finite cyclic group

    Algebra i Analiz, 13:3 (2001),  139–154
  26. On primitive cellular algebras

    Zap. Nauchn. Sem. POMI, 256 (1999),  38–68
  27. Algebras in Plancherel Duality and Algebraic Combinatorics

    Funktsional. Anal. i Prilozhen., 31:4 (1997),  34–46
  28. Two inequalities for parameters of a cellular algebra

    Zap. Nauchn. Sem. POMI, 240 (1997),  82–95
  29. $C$-algebras and algebras in Plancherel duality

    Zap. Nauchn. Sem. POMI, 240 (1997),  53–66
  30. Combinatorial Algebras and Multivalued Involutive Groups

    Funktsional. Anal. i Prilozhen., 30:3 (1996),  12–18
  31. Transitive groups with irreducible representations of bounded degree

    Zap. Nauchn. Sem. POMI, 223 (1995),  108–119
  32. On estimate of the order of primitive permutation groups

    Zap. Nauchn. Sem. POMI, 215 (1994),  256–263
  33. On computation complexity problems concerning relation algebras

    Zap. Nauchn. Sem. POMI, 202 (1992),  116–134
  34. Polynomial-time recognizing and isomorphism testing for cyclic tournaments

    Zap. Nauchn. Sem. LOMI, 192 (1991),  74–111
  35. The isomorphism problem for classes of graphs

    Dokl. Akad. Nauk SSSR, 304:3 (1989),  552–556
  36. Isomorphism problem for classes of graphs closed under contractions

    Zap. Nauchn. Sem. LOMI, 174 (1988),  147–177
  37. Polynomial isomorphism algorithm for graphs which are not contracted to $K_{3,g}$.

    Zap. Nauchn. Sem. LOMI, 137 (1984),  99–114


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