Persons: Omel'chenko, Aleksandr Vladimirovich

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Omel'chenko, Aleksandr Vladimirovich

Total publications:	42 (42)
in MathSciNet:	14 (14)
in zbMATH:	19 (19)
in Web of Science:	3 (3)
in Scopus:	20 (20)
Cited articles:	24
Citations:	149
Presentations:	3

Number of views:
This page:	748
Abstract pages:	1423
Full texts:	468
References:	260

Doctor of physico-mathematical sciences (2003)

Speciality:

01.02.05 (Mechanics of fluids, gases and plasmas)

Birth date:

14.01.1973

E-mail:

Keywords:

enumeration, optimization, maps on surfaces, knots and links

MSC:

05A16, 05A15

Subject:

Discrete Mathematics, Mathematical Physics

Main publications:

S. A. Grishanov, V. R. Meshkov, and A.V. Omelchenko, “Kauffman-Type Polynomial Invariants for Doubly-Periodic Structures”, Journal of Knot Theory and its Ramifications, 16:6 (2007), 779-788
V. Meshkov, A. Omelchenko, M. Petrov, and E. Tropp, “Dyck and Motzkin Triangles with Multiplicities”, Moscow Mathematical Journal, 10:3 (2010), 611-628
A.Bogdanov, V.Meshkov, A.Omelchenko, M.Petrov, “Enumerating the k-tangle Projections”, Journal of Knot Theory and its Ramifications, 21:7 (2012)
Evgeniy Krasko, Alexander Omelchenko, “Brown’s Theorem and its Application for Enumeration of Dissections and Planar Trees”, The Electronic Journal of Combinatorics, 22:1 (2015), 1-17

https://www.mathnet.ru/eng/person60589

List of publications on Google Scholar

List of publications on ZentralBlatt

https://mathscinet.ams.org/mathscinet/MRAuthorID/637208

Full list of publications:

scientific publications

by years

by types

by times cited

common list

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


2019
1.	E. C. Krasko, I. N. Labutin, A. V. Omelchenko, “Enumeration of labelled and unlabelled Hamiltonian cycles in complete $k$-partite graphs”, Combinatorics and graph theory. Part XI, Zap. Nauchn. Sem. POMI, 488, POMI, St. Petersburg, 2019, 119–142

2018
2.	A. V. Omelchenko, Teoriya grafov, 1-e izd., MTsNMO, Moskva, 2018 , 416 pp. http://biblio.mccme.ru/node/6109
3.	E. C. Krasko, I. N. Labutin, D. N. Moskvin, A. V. Omelchenko, A. I. Khrabrov, “On some enumerative problems of lambda calculus”, Combinatorics and graph theory. Part X, Zap. Nauchn. Sem. POMI, 475, POMI, St. Petersburg, 2018, 99–121

2017
4.	Evgeniy Krasko, Alexander Omelchenko, “Enumeration of 4-regular one-face maps”, European Journal of Combinatorics, 62 (2017), 167–177 \href{http://www.sciencedirect.com/science/article/pii/S0195669816301500}	3 ^[x]
5.	Evgeniy Krasko, Alexander Omelchenko, “Enumeration of Chord Diagrams without Loops and Parallel Chords”, The Electronic Journal of Combinatorics, 24:3 (2017), 1–20 http://www.combinatorics.org/ojs/index.php/eljc/article/view/v24i3p43, arXiv: 1601.05073

2018
6.	E. C. Krasko, A. V. Omelchenko, “Enumeration of regular maps on surfaces of a given genus”, J. Math. Sci. (N. Y.), 232:1 (2018), 44–60

2015
7.	Krasko, Evgeniy; Omelchenko, Alexander, “Brown's theorem and its application for enumeration of dissections and planar trees”, The Electronic Journal of Combinatorics, 22:1 (2015), 1–17 "\href{http://www.combinatorics.org/ojs/index.php/eljc/article/view/v22i1p17}"

2012
8.	A.Bogdanov, V.Meshkov, A.Omelchenko, M.Petrov, “Enumerating the k-tangle Projections”, Journal of Knot Theory and its Ramifications, 21:7 (2012), 1–17	3 ^[x]

2010
9.	V. R. Meshkov, A. V. Omelchenko, M. I. Petrov, E. A. Tropp, “Dyck and Motzkin triangles with multiplicities”, Mosc. Math. J., 10:3 (2010), 611–628	2 ^[x]
10.	A.V.Omelchenko, Metody integralnykh preobrazovanii v zadachakh matematicheskoi fiziki, MTsNMO, Moskva, 2010 , 182 pp.

2009
11.	S.Grishanov, V.Meshkov, and A.Omelchenko, “A Topological Study of Textile Structures. Part I: An Introduction to Topological Methods”, Textile Research Journal, 79:8 (2009), 702–713	30 ^[x]
12.	S.Grishanov, V.Meshkov, and A.Omelchenko, “A Topological Study of Textile Structures. Part II: Topological Invariants in Application to Textile Structures”, Textile Research Journal, 79:9 (2009), 822-836	21 ^[x]

2007
13.	S. A. Grishanov, V. R. Meshkov, and A.V. Omelchenko, “Kauffman-Type Polynomial Invariants for Doubly-Periodic Structures”, Journal of Knot Theory and its Ramifications, 16:6 (2007), 779–788	17 ^[x]

2006
14.	V.N.Malozemov, A.V.Omelchenko, “On a discrete optimal control problem with an explicit solution”, Journal of Industrial and Management Optimization, 2:1 (2006), 55–62	7 ^[x]
15.	S.A.Grishanov, V.R.Meshkov, A.V.Omelchenko, “Polinomialnyi invariant dvoyakoperiodicheskikh pletenykh struktur”, Pisma v zhurnal tekhnicheskoi fiziki, 32:10 (2006), 61-67

2004
16.	A.V.Omelchenko, E.A.Tropp, “Ob odnoi singulyarno vozmuschennoi zadache vikhrevoi gazovoi dinamiki”, Prikladnaya mekhanika i tekhnicheskaya fizika, 45:2 (2004), 47-61
17.	A. V. Omel'chenko, È. A. Tropp, “One singularly perturbed problem of turbulent gas dynamics”, J. Appl. Mech. Tech. Phys., 45:2 (2004), 187–198

2003
18.	V. N. Malozemov, A. V. Omel'chenko, “On the construction of optimal shock wave systems”, Comput. Math. Math. Phys., 43:4 (2003), 508–520
19.	A.V.Omelchenko, V.N.Uskov, M.V.Chernyshov, “Ob odnoi priblizhennoi analiticheskoi modeli techeniya v pervoi bochke pererasshirennoi strui”, Pisma v zhurnal tekhnicheskoi fiziki, 29:6 (2003), 56–62	12 ^[x]
20.	V.N.Malozemov, A.V.Omelchenko, “Global optimality and uniqueness in the problem of minimizing loss of total pressure”, Doklady Physics, 48:3 (2003), 138–141

2002
21.	A. V. Omel'chenko, “Relations between derivatives across a shock discontinuity”, Comput. Math. Math. Phys., 42:8 (2002), 1200–1211
22.	V.R.Meshkov, A.V.Omelchenko, V.N.Uskov, “Vzaimodeistvie skachka uplotneniya so vstrechnoi volnoi razrezheniya”, Vestnik SPbGU. Seriya 1., 2002, no. 2, 99–106
23.	A.V.Omelchenko, “Differentsialnye kharakteristiki potoka za udarnoi volnoi”, Zhurnal tekhnicheskoi fiziki, 72:1 (2002), 20–27	1 ^[x]
24.	A.V.Omelchenko, V.N.Uskov, “Interferentsiya nestatsionarnykh kosykh udarnykh voln”, Pisma v zhurnal tekhnicheskoi fiziki, 28:12 (2002), 5–12	2 ^[x]
25.	A.V.Omelchenko, “Vzaimodeistvie prostoi volny Prandtlya – Maiera so slabo zavikhrennym sloem”, Pisma v zhurnal tekhnicheskoi fiziki, 28:12 (2002), 87–94

2001
26.	A.V.Omelchenko, “Obobschennyi invariant Chestera – Uizema”, Pisma v zhurnal tekhnicheskoi fiziki, 27:21 (2001), 6–12	1 ^[x]

1999
27.	N.I.Ivanov, V.N.Malozemov, A.V.Omelchenko, “Ob odnoi ekstremalnoi zadache iz oblasti tekhnicheskoi akustiki”, Vestnik SPbGU. Seriya 1., 22:4 (1999), 34–38
28.	A.O.Kozhemyakin, A.V.Omelchenko, V.N.Uskov, “Naklonnoe vzaimodeistvie sverkhzvukovykh potokov”, Izvestiya RAN. Mekhanika zhidkosti i gaza, 1999, no. 5, 123–131
29.	A.V.Omelchenko, V.N.Uskov, “Optimalnye dogonyayuschie skachki uplotneniya s ogranicheniyami na summarnyi ugol povorota potoka”, Prikladnaya mekhanika i tekhnicheskaya fizika, 40:4 (1999), 99–108	3 ^[x]
30.	A. V. Omel'chenko, V. N. Uskov, “Optimum overtaking compression shocks with restrictions imposed on the total flow-deflection angle”, J. Appl. Mech. Tech. Phys., 40:4 (1999), 638–646

1998
31.	V. N. Malozemov, A. V. Omel'chenko, M. A. Rydalevskaya, “Entropy maximization under linear constraints”, Comput. Math. Math. Phys., 38:9 (1998), 1447–1451
32.	A.V.Omelchenko, V.N.Uskov, “Maksimalnye ugly povorota sverkhzvukovogo potoka v udarno-volnovykh sistemakh”, Izvestiya RAN. Mekhanika zhidkosti i gaza, 1998, no. 3, 148–156	4 ^[x]
33.	A.V.Omelchenko, V.N.Uskov, “Raspad tsentrirovannoi volny szhatiya Prandtlya - Maiera v statsionarnom potoke gaza”, Prikladnaya mekhanika i tekhnicheskaya fizika, 39:3 (1998), 59–68
34.	V.K.Erofeev, A.V.Omelchenko, V.N.Uskov, “Analiz akusticheskogo impedansa v statsionarnykh sverkhzvukovykh techeniyakh”, Inzhenerno-fizicheskii zhurnal, 71:4 (1998), 663–668
35.	V.N.Malozemov, A.V.Omelchenko, V.N.Uskov, “O minimizatsii poter polnogo davleniya pri tormozhenii sverkhzvukovogo potoka”, Prikladnaya matematika i mekhanika, 62:6 (1998), 1015–1021
36.	A. V. Omel'chenko, V. N. Uskov, “Decay of a centered Prandtl–Mayer compression wave in a steady gas flow”, J. Appl. Mech. Tech. Phys., 39:3 (1998), 375–383

1997
37.	A.V.Omelchenko, V.N.Uskov, “Ekstremalnaya sistema 'volna razrezheniya - skachok uplotneniya' v statsionarnom potoke gaza”, Prikladnaya matematika i tekhnicheskaya fizika, 38:2 (1997), 40–47	5 ^[x]
38.	A.V.Omelchenko, V.N.Uskov, “Geometriya optimalnykh udarno-volnovykh sistem”, Prikladnaya mekhanika i tekhnicheskaya fizika, 38:5 (1997), 29–35	2 ^[x]
39.	A. V. Omel'chenko, V. N. Uskov, “An optimal shock-expansion system in a steady gas flow”, J. Appl. Mech. Tech. Phys., 38:2 (1997), 204–210
40.	A. V. Omel'chenko, V. N. Uskov, “Geometry of optimal shock-wave systems”, J. Appl. Mech. Tech. Phys., 38:5 (1997), 679–684

1996
41.	A.V.Omelchenko, V.N.Uskov, “Optimalnye udarno-volnovye sistemy pri ogranicheniyakh na summarnyi ugol povorota potoka”, Izvestiya RAN. Mekhanika zhidkosti i gaza, 1996, no. 4, 142–150	8 ^[x]

1995
42.	A.V.Omelchenko, V.N.Uskov, “Optimalnye udarno-volnovye sistemy”, Izvestiya RAN. Mekhanika zhidkosti i gaza, 1995, no. 6, 118-126	8 ^[x]

Presentations in Math-Net.Ru

1.	Перечисление регулярных карт на торе и бутылке Клейна (по совместной работе с Е. С. Краско) A. V. Omel'chenko V. A. Rohlin St. Petersburg Topology Seminar December 18, 2017 17:15
2.	Enumeration of labelled and nonlabelled Hamiltonian cycles in the complete k-partite graphs $K_{d,d,\ldots,d}$ E. C. Krasko, I. N. Labutin, A. V. Omel'chenko St. Petersburg Seminar on Representation Theory and Dynamical Systems April 12, 2017 17:00
3.	Enumeration of unlabelled graphs on surfaces E. Krasko, A. V. Omel'chenko St. Petersburg Seminar on Representation Theory and Dynamical Systems December 26, 2014 14:00

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