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Kochergin, Vadim Vasil'evich

Total publications: 47 (45)
in MathSciNet: 26 (26)
in zbMATH: 21 (21)
in Web of Science: 9 (9)
in Scopus: 13 (13)
Cited articles: 24
Citations: 88
Presentations: 2

Number of views:
This page:2185
Abstract pages:6734
Full texts:2135
References:558
Kochergin, Vadim Vasil'evich
Professor
Doctor of physico-mathematical sciences (2008)
Speciality: 01.01.09 (Discrete mathematics and mathematical cybernetics)
Birth date: 16.05.1966
E-mail:
Website: https://math.msu.ru/node/811

https://www.mathnet.ru/eng/person27798
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/312064
ISTINA https://istina.msu.ru/workers/2703593

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

Articles

1. V. V. Kochergin, A. V. Mikhailovich, “Improvement of Nonmonotone Complexity Estimates of $k$-Valued Logic Functions”, Math. Notes, 113:6 (2023), 794–803  mathnet  crossref  crossref  mathscinet  scopus
2. V. V. Kochergin, “On the computation complexity of the systems of finite Abelian group elements”, Moscow University Mathematics Bulletin, 78:4 (2023), 179–187  mathnet  crossref  crossref  elib
3. V. V. Kochergin, “Comparing the computational complexity of monomials and elements of finite Abelian groups”, Moscow University Mathematics Bulletin, 77:3 (2022), 113–119  mathnet  crossref  mathscinet  zmath
4. V. V. Kochergin, “On the papers of O. M. Kasim-Zade in field of complexity theory and theory of multivalued logics”, Chebyshevskii Sb., 23:2 (2022), 121–150  mathnet  crossref
5. S. B. Gashkov, O. S. Dudakova, R. M. Kolpakov, V. V. Kochergin, N. A. Leontieva, N. P. Red'kin, A. V. Chashkin, V. N. Chubarikov, A. D. Yashunskii, “Aleksandr Borisovich Ugol'nikov (04.12.1951–19.07.2013)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 6, 58–62  mathnet
6. V. V. Kochergin, A. V. Mikhailovich, “Bounds of non-monotone complexity for the multi-valued logic functions”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 162, no. 3, Kazan University, Kazan, 2020, 311–321  mathnet  crossref  isi  scopus
7. V. V. Kochergin, A. V. Mikhailovich, “Exact Value of the Nonmonotone Complexity of Boolean Functions”, Math. Notes, 105:1 (2019), 28–35  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
8. V. V. Kochergin, “A simple proof for the upper bound of the computational complexity of three monomials in three variables”, Moscow University Mathematics Bulletin, 74:2 (2019), 43–48  mathnet  crossref  mathscinet  zmath  isi  scopus
9. V. V. Kochergin, A. V. Mikhailovich, “On the complexity of multivalued logic functions over some infinite basis”, J. Appl. Industr. Math., 12:1 (2018), 40–58  mathnet  crossref  crossref  elib  scopus
10. V. V. Kochergin, “Asymptotics of growth for non-monotone complexity of multi-valued logic function systems”, Sib. elektron. matem. izv., 14 (2017), 1100–1107  mathnet  crossref  isi 2
11. V. V. Kochergin, D. V. Kochergin, “Improvement of the lower bound for the complexity of exponentiation”, Prikl. Diskr. Mat., 2017, no. 38, 119–132  mathnet  crossref  isi  elib
12. V. V. Kochergin, A. V. Mikhailovich, “The minimum number of negations in circuits for systems of multi-valued functions”, Discrete Math. Appl., 27:5 (2017), 295–302  mathnet  crossref  crossref  mathscinet  mathscinet  isi  elib  elib  scopus
13. V. V. Kochergin, D. V. Kochergin, “Revision of asymptotic behavior of the complexity of word assembly by concatenation circuits”, Moscow University Mathematics Bulletin, 71:2, March (2016), 55–60  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
14. V. V. Kochergin, “Ob odnoi zadache O. B. Lupanova”, Materialy XII Mezhdunarodnogo seminara «Diskretnaya matematika i ee prilozheniya» imeni akademika O. B. Lupanova (Moskva, MGU, 20–25 iyunya 2016 g.), Izd-vo mekhaniko-matematicheskogo fakulteta MGU, Moskva, 2016, 4–17
15. V. V. Kochergin, A. V. Mikhailovich, “O nemonotonnoi slozhnosti funktsii $k$-znachnoi logiki”, Materialy XII Mezhdunarodnogo seminara «Diskretnaya matematika i ee prilozheniya» imeni akademika O. B. Lupanova (Moskva, MGU, 20–25 iyunya 2016 g.), Izd-vo mekhaniko-matematicheskogo fakulteta MGU, Moskva, 2016, 142–145
16. Vadim V. Kochergin, “On some measures of complexity of finite Abelian groups”, Discrete Mathematics and Applications, 27:2 (2017), 81–95  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
17. V. V. Kochergin, A. V. Mikhailovich, “On the complexity of circuits in bases containing monotone elements with zero weights”, Prikl. Diskr. Mat., 2015, no. 4(30), 24–31  mathnet  crossref  isi  elib
18. V. V. Kochergin, “On Bellman's and Knuth's problems and their generalizations”, J. Math. Sci., 233:1 (2018), 103–124  mathnet  crossref
19. V. V. Kochergin, “Improvement of the estimates of the computational complexity for monomials and sets of powers in Bellman's and Knuth's problems”, Journal of Applied and Industrial Mathematics, 9:1 (2015), 68–82  mathnet  crossref  mathscinet  elib  scopus
20. V. V. Kochergin, “Teoriya ventilnykh skhem (sovremennoe sostoyanie)”, Diskretnaya matematika i ee prilozheniya. Sbornik lektsii molodezhnykh nauchnykh shkol po diskretnoi matematike i ee prilozheniyam, Vypusk VII, Izd-vo IPM RAN, Moskva, 2013, 23–40
21. V. V. Kochergin, “On realization of underdetermined two-column matrices by gate circuits with multiple paths”, Vestnik of Lobachevsky University of Nizhni Novgorod, 2012, no. 5, part 2, 111–116
22. V. V. Kochergin, “Ob odnom sootnoshenii dvukh mer slozhnosti vychisleniya sistem odnochlenov”, Vestnik Moskovskogo universiteta. Ser. 1. Matematika. Mekhanika, 2009, no. 4, 8–13  mathnet  mathscinet  zmath  elib 4
23. V. V. Kochergin, “On the complexity of joint computation of three elements of free Abelian group with two generators”, Diskretn. Anal. Issled. Oper., 15:2 (2008), 23–64  mathnet  mathscinet  zmath  elib
24. V. V. Kochergin, “On the maximal complexity of calculations of systems of elements of a free Abelian group”, Moscow Univ. Math. Bull., 62:3 (2007), 95–100  mathnet  crossref  mathscinet  zmath  elib  elib  scopus
25. V. V. Kochergin, “O slozhnosti vychisleniya sistem odnochlenov i sistem tselochislennykh lineinykh form”, Diskretnaya matematika i ee prilozheniya, Sbornik lektsii molodezhnykh nauchnykh shkol po diskretnoi matematike i ee prilozheniyam, Vyp. III, Izd-vo In-ta prikladnoi matematiki RAN, Moskva, 2007, 3–63
26. V. V. Kochergin, “Asymptotics of the complexity of systems of integer linear forms for additive computations”, J. Appl. Industr. Math., 1:3 (2007), 328–342  mathnet  crossref  mathscinet  zmath  elib  elib  scopus
27. V. V. Kochergin, “On the complexity of computation of three monomials in three variables”, FizMatLit, Moscow, 79–155, Matematicheskie Voprosy Kibernetiki, Issue 15, FizMatLit, Moscow, 2006, 79–155
28. V. V. Kochergin, “On the complexity of the computation of a pair of monomials in two variables”, Discrete Math. Appl., 15:6 (2005), 547–572  mathnet  crossref  crossref  mathscinet  zmath  elib
29. V. V. Kochergin, “On the multiplicative complexity of binary words with a given number of units”, Matematicheskie Voprosy Kibernetiki, Issue 8, FizMatLit, Moscow, 1999, 63–76  mathscinet
30. M. I. Grinchuk, V. V. Kochergin, “On the search of optimal order of variables in the synthesis of switching circuits by cascade technique”, Discrete Applied Mathematics, 135:1–3, 15 January (2004), 113–123  mathnet  crossref  mathscinet  mathscinet  zmath  scopus
31. V. V. Kochergin, “On the complexity of the computation of systems of monomials with restrictions on the powers of the variables”, Discrete Math. Appl., 8:4 (1998), 375–382  mathnet  crossref  mathscinet  zmath
32. V. V. Kochergin, “On the complexity of computations in finite nilpotent groups”, Diskretn. Anal. Issled. Oper., 3:1 (1996), 43–52  mathnet  mathscinet  zmath
33. V. V. Kochergin, “On asymptotically exact solution of Bellman–Knuth problems”, Fundamental Problems in Mathematics and Mechanics, The Programm “Universities of Russia”, “Universities of Russia” Publishing House, Moscow, 1996, 45
34. V. V. Kochergin, “On the computation of sets of powers”, Discrete Math. Appl., 4:2 (1994), 119–128  mathnet  mathscinet  zmath
35. V. V. Kochergin, “On the complexity of computations of monomials and tuples of powers”, Siberian Adv. Math., 6:1 (1996), 71–86  mathscinet  mathscinet
36. V. V. Kochergin, “A “factorization” algorithm for elements of the symmetric group”, Moscow Univ. Math. Bull., 49:1 (1994), 33–35  mathnet  mathscinet  zmath
37. V. V. Kochergin, “On the complexity of computations of monomials and tuples of powers”, Trudy Inst. Mat. SO RAN, 27 (1994), 94–107  mathnet  mathscinet  zmath
38. V. V. Kochergin, “On the complexity of computation in finite Abelian, nilpotent and soluble groups”, Discrete Math. Appl., 3:3 (1993), 297–319  mathnet  mathscinet  zmath
39. V. V. Kochergin, “On additive computations of systems of integral linear forms”, Moscow Univ. Math. Bull., 48:6 (1993), 62–64  mathnet  mathscinet  zmath
40. V. V. Kochergin, “On the complexity of computations in finite Abelian groups”, Matematicheskie Voprosy Kibernetiki, Issue 4, Nauka, Moscow, 1992, 178–217  mathscinet
41. S. B. Gashkov, V. V. Kochergin, “On addition chains of vectors, gate circuits, and the complexity of computations of powers”, Siberian Adv. Math., 4:4 (1994), 1–16  mathscinet  zmath
42. V. V. Kochergin, “On the complexity of computations in finite abelian groups”, Soviet Math. Dokl., 43:2 (1991), 374–376  mathnet  mathscinet  zmath

ArXiv

43. V. V. Kochergin, A. V. Mikhailovich, Some extensions of the inversion complexity of Boolean functions, 2015 (Published online) , 5 pp., arXiv: arXiv:1506.04485  zmath
44. V. V. Kochergin, A. V. Mikhailovich, Inversion complexity of functions of multi-valued logic, 2015 (Published online) , 11 pp., arXiv: arXiv:1510.05942  zmath

Personalia

45. V. V. Aleksandrov, S. B. Gashkov, D. V. Georgievskii, O. S. Dudakova, V. P. Karlikov, B. S. Kashin, G. M. Kobel'kov, M. D. Kovalev, V. V. Kozlov, R. M. Kolpakov, V. V. Kochergin, T. P. Lukashenko, A. S. Mishchenko, Yu. V. Nesterenko, R. I. Nigmatulin, N. P. Red'kin, V. A. Sadovnichii, I. N. Sergeev, A. T. Fomenko, A. V. Chashkin, V. N. Chubarikov, A. I. Shafarevich, A. N. Shiryaev, V. Ya. Shkadov, A. A. Shkalikov, “90 years since the birthday of Academician Oleg Borisovich Lupanov (02.06.1932 – 03.05.2006)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 3, 3–5  mathnet
46. S. B. Gashkov, O. S. Dudakova, M. D. Kovalev, R. M. Kolpakov, V. V. Kochergin, N. P. Red'kin, A. T. Fomenko, A. V. Chashkin, V. N. Chubarikov, A. I. Shafarevich, A. D. Yashunskii, “Oktay Muradoviñh Kasim-Zade (29.04.1953–22.12.2020)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 4, 60–63  mathnet

Manuscripts

47. V. V. Kochergin, O slozhnosti additivnykh vychislenii, Dissertatsiya na soiskanie uchenoi stepeni doktora fiziko-matematicheskikh nauk, 2008  zmath

Presentations in Math-Net.Ru
1. Î ñëîæíîñòè àääèòèâíûõ âû÷èñëåíèé
V. V. Kochergin
Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS
September 23, 2008 16:00
2. Nonmonotone complexity of logic circuits and similar problems
V. V. Kochergin, A. V. Mikhailovich
International workshop "Syntax and semantics of logical systems"

Organisations
 
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