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Nikolaev, Andrey Valerievich

Associate professor
Doctor of physico-mathematical sciences
Birth date: 11.02.1986
E-mail: ,

Subject:

combinatorial optimization polyhedral combinatorics


https://www.mathnet.ru/eng/person62338
https://scholar.google.com/citations?user=H8_M_oUAAAAJ&hl=en
https://elibrary.ru/author_items.asp?spin=5041-2491
https://orcid.org/0000-0003-4705-2409
https://www.scopus.com/authid/detail.url?authorId=55103692400
https://arxiv.org/a/nikolaev_a_2

Publications in Math-Net.Ru Citations
2022
1. A. V. Nikolaev, “On $1$-skeleton of the polytope of pyramidal tours with step-backs”, Sib. Èlektron. Mat. Izv., 19:2 (2022),  674–687  mathnet  mathscinet
2021
2. A. V. Korostil, A. V. Nikolaev, “Backtracking algorithms for constructing the Hamiltonian decomposition of a $4$-regular multigraph”, Model. Anal. Inform. Sist., 28:1 (2021),  6–21  mathnet
2018
3. V. A. Bondarenko, A. V. Nikolaev, “On the skeleton of the polytope of pyramidal tours”, Diskretn. Anal. Issled. Oper., 25:1 (2018),  5–24  mathnet  elib; J. Appl. Industr. Math., 12:1 (2018), 9–18  scopus 12
2017
4. V. A. Bondarenko, A. V. Nikolaev, D. A. Shovgenov, “Polyhedral characteristics of balanced and unbalanced bipartite subgraph problems”, Model. Anal. Inform. Sist., 24:2 (2017),  141–154  mathnet  elib
2015
5. V. A. Bondarenko, A. V. Nikolaev, D. A. Shovgenov, “1-Skeletons of the spanning tree problems with additional constraints”, Model. Anal. Inform. Sist., 22:4 (2015),  453–463  mathnet  mathscinet  elib 3
2014
6. V. A. Bondarenko, A. V. Nikolaev, M. E. Symanovich, R. O. Shemyakin, “On a recognition problem on cut polytope relaxations”, Avtomat. i Telemekh., 2014, no. 9,  108–121  mathnet; Autom. Remote Control, 75:9 (2014), 1626–1636  isi  scopus 2
7. V. A. Bondarenko, A. V. Nikolaev, “Some Properties of Metric Polytope Constraints”, Model. Anal. Inform. Sist., 21:4 (2014),  25–34  mathnet
2011
8. A. V. Nikolaev, “Hypergraphs of special type and CUT polytope relaxations properties analysis”, Model. Anal. Inform. Sist., 18:3 (2011),  82–100  mathnet 3
2010
9. A. V. Nikolaev, “On nonintegral vertices of 3-SAT problem relaxation polytope”, Model. Anal. Inform. Sist., 17:2 (2010),  99–111  mathnet
2008
10. O. A. Dunaeva, A. V. Nikolaev, “Некоторые свойства релаксационного многогранника задачи 3-выполнимость”, Matem. Mod. Kraev. Zadachi, 2 (2008),  37–43  mathnet 1

Presentations in Math-Net.Ru
1. Исследование полиэдральных характеристик задач комбинаторной оптимизации
A. V. Nikolaev
Dobrushin Mathematics Laboratory Seminar
November 7, 2023 16:00
2. On polyhedral graphs of combinatorial problems
A. V. Nikolaev
Algebraic topology and its applications. Postnikov memorial seminar
March 28, 2023 16:45

Organisations