Kuz'min Oleg Viktorovich

Publications in Math-Net.Ru

1. Composition of numbers with constraints and the hierarchical structure of planar sections of Pascal's pyramid
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 234 (2024),  67–74
2. Hierarchical structures and combinatorial problems of information retrieval
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 224 (2023),  97–108
3. Combinatorial properties of flat sections of the generalized Pascal's pyramid and construction of navigation routes
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 214 (2022),  53–59
4. Combinatorial polynomials and enumeration of trees
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 214 (2022),  21–29
5. Binary matrixes based on Pascal's triangle's arithmetics and char sequences
   
   Bulletin of Irkutsk State University. Series Mathematics, 18 (2016),  38–47
6. Recurrent relations of additive sequences for periodic functions
   
   Probl. Upr., 2015, no. 2,  24–30
7. Analysis of harmonic structure of time series based on singular value decomposition algorithm
   
   Probl. Upr., 2013, no. 1,  26–31
8. The enumerative properties of combinatorial partition polynomials
   
   Diskretn. Anal. Issled. Oper., 18:1 (2011),  3–14
9. Plane sections of the generalised Pascal pyramid and their interpretations
   
   Diskr. Mat., 22:3 (2010),  83–93
10. The upper units of generalized Pascal's pyramid and its interpretations
    
    J. Sib. Fed. Univ. Math. Phys., 3:4 (2010),  533–543
11. On a constructive approach to the calculation of cardinality of the Ryser classes
    
    Diskr. Mat., 21:3 (2009),  33–36
12. Cardinality of the Ryser Classes and the Motzkin Paths with Weights
    
    J. Sib. Fed. Univ. Math. Phys., 2:3 (2009),  312–318
13. Generalised Pascal pyramids and their reciprocals
    
    Diskr. Mat., 19:4 (2007),  108–116
14. Touchard $C$-polynomials and polynomials quasi-orthogonal to them
    
    Diskr. Mat., 17:2 (2005),  153–159
15. On the analytic conjugacy of Touchard polynomials and the polynomials quasi-orthogonal to them
    
    Diskr. Mat., 14:1 (2002),  151–157
16. On partition polynomials
    
    Diskr. Mat., 13:2 (2001),  144–158
17. Touchard polynomials and their applications
    
    Diskr. Mat., 12:3 (2000),  60–71
18. Recurrence relations and enumeration interpretations of some combinatorial numbers and polynomials
    
    Diskr. Mat., 6:3 (1994),  39–49


19. To the 85th anniversary of the department of geometry of ISU
    
    Bulletin of Irkutsk State University. Series Mathematics, 43 (2023),  122–136
20. To the 50th anniversary of the Department of Probability Theory and Discrete Mathematics of Irkutsk State University
    
    Bulletin of Irkutsk State University. Series Mathematics, 38 (2021),  124–136