ЛАБОРАТОРИЯ ТОПОЛОГИИ И ДИНАМИКИ
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КОЛЛЕКТИВ СЕМИНАРЫ КОНФЕРЕНЦИИ СТАТЬИ КУРСЫ ДИССЕРТАЦИИ
Уважаемые члены научного коллектива! При оформлении Ваших публикаций, пожалуйста не забывайте указывать ссылку на данный проект. В случае, если ссылка на данный проект не единственная, необходимо явно указать, какая часть статьи выполнена при поддержке именно этого проекта. В качестве места работы автора необходимо указать Novosibirsk State University (Новосибирский государственный университет).

Образец оформления ссылки на русском языке:

«Работа выполнена при финансовой поддержке Лаборатории топологии и динамики Новосибирского государственного университета (грант правительства РФ № 14.Y26.31.0025).»

Образец оформления ссылки на английском языке:

«The work has been supported by the Laboratory of Topology and Dynamics of Novosibirsk State University (contract no. 14.Y26.31.0025 with the Ministry of Education and Science of the Russian Federation).»


Статьи, опубликованные в 2018 году:

1. Bialy М., Mironov A., A survey on polynomial in momenta integrals for billiard problems // Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences, 2018, V. 376, article No 20170418, 22 pp. DOI 10.1098/rsta.2017.0418 (Q1 journal)

2. Dobrynin A.A., Infinite family of 2-connected transmission irregular graphs // Appl. Math. Comput., 2019, V. 340, No 1, P. 1-4. DOI 10.1016/j.amc.2018.08.042 (Q1 journal)

3. Dobrynin A.A., Infinite family of 3-connected cubic transmission irregular graphs // Discrete Appl. Math., 2019, 7 pp. DOI 10.1016/j.dam.2018.10.036

4. Dobrynin A.A., Infinite family of transmission irregular trees of even order // Discrete Math., 2019, V. 342, No 1, P. 74-77. DOI 10.1016/j.disc.2018.09.015

5. Ellis-Monaghan J.A., Kauffman L.H., Moffatt I., Edge colourings and topological graph polynomials // Australasian Journal of Combinatorics, 2018, V. 72, P. 290-305.

6. Fedoseev D.A., Manturov V.O., Cobordisms of graphs: A sliceness criterion for stably odd free knots and related results on cobordisms // Journal of Knot Theory and Its Ramifications, 2018, V. 27, No 13, article No 1842011, 25 pp. DOI 10.1142/S0218216518420117

7. Kauffman L.H., Braiding, Majorana Fermions and the Dirac Equation // Journal of Physics: Conference Series (JPCS), 2018, V. 1051, article No 012036, 12 pp. DOI 10.1088/1742-6596/1051/1/012036

8. Kauffman L.H., Majorana Fermions and representations of the braid group // International Journal of Modern Physics A, 2018, V. 33, No 23, article No 1830023, 28 pp. DOI 10.1142/S0217751X18300235

9. Kauffman L.H., Non-Commutative Worlds and Classical Constraints // Entropy, 2018, V. 20, No 7, number of paper 483, 25 pp. DOI 10.3390/e20070483

10. Kauffman L.H., Virtual Knot Cobordism and the Affine Index Polynomial // Journal of Knot Theory and Its Ramifications, 2018, V. 27, No 11, article No 1843017, 28 pp. DOI 10.1142/S0218216518430174

11. Kauffman L.H., Lomonaco S.J., Braiding, Majorana Fermions, Fibonacci Particles and Topological Quantum Computing // Quantum Information Processing, 2018, V. 17, No 8, article No UNSP 201, 88 pp. DOI 10.1007/s11128-018-1959-x (Q1 journal)

12. Manturov V.O., J. Wu, Gkn-groups for simplicial complexes and the word problem on G2(K) // Journal of Knot Theory and Its Ramifications, 2018, article No 1842013, 4 pp. DOI 10.1142/S0218216518420130

13. Mednykh A.D., Mednykh I.A., Asymptotics and Arithmetical Properties of Complexity for Circulant Graphs // Doklady Mathematics, 2018, V. 97, No 2, P. 147-151. DOI 10.1134/S1064562418020138

14. Qingying Deng, Xian’an Jin, Kauffman L.H., Graphical virtual links and a polynomial of signed cyclic graphs // Journal of Knot Theory and Its Ramifications, 2018, V. 27, No 10, article No 1850054, 14 pp. DOI 10.1142/S0218216518500542


Статьи, опубликованные в 2019 году:

1. Kauffman L.H., Mehrotra E., Topological aspects of quantum entanglement // Quantum Information Processing, 2019, V. 18, No 3, article No 76. DOI 10.1007/s11128-019-2191-z (Q1 journal)

2. Qingying Deng, Xian’an Jin, Kauffman L.H., The generalized Yamada polynomials of virtual spatial graphs // Topology and Its Applications, 2019, V. 256, P. 136-158. DOI 10.1016/j.topol.2019.01.003

3. Najdanovic M.S., Rancic S.R., Kauffman L.H., Velimirovic L.S., The total curvature of knots under second-order infinitesimal bending // Journal of Knot Theory and Its Ramifications, 2019, V. 28, No 1, article No 1950005. DOI 10.1142/S0218216519500056

4. Kauffman L.H., Ogasa E., Brieskorn submanifolds, local moves on knots, and knot products // Journal of Knot Theory and Its Ramifications, 2019, V. 28, No 10, article No 1950068. DOI 10.1142/S0218216519500688

5. Kordyukov Yu.A., Taimanov I.A., Trace formula for the magnetic Laplacian // Russian Mathematical Surveys, 2019, V. 74, No 2, P. 325-361. DOI 10.1070/RM9870 (Q1 journal)

6. Gromadzki G., Mednykh A.D., Mednykh I.A., On automorphisms of graphs and Riemann surfaces acting with fixed points // Analysis and Mathematical Physics, 2019, V. 9, No 4, P. 2021-2031. DOI 10.1007/s13324-019-00298-7 (Q1 journal)

7. Young Soo Kwon, Mednykh A.D., Mednykh I.A., Complexity of discrete Seifert foliations over a graph // Doklady Mathematics, 2019, V. 99, No 3, P. 1-4, DOI 10.1134/S1064562419030141

8. Bialy M., Mironov A.E., Shalom L., Outer billiards with the dynamics of a standard shift on a finite number of invariant curves // Experimental Mathematics, 2019, DOI 10.1080/10586458.2018.1563514

9. Agapov S., Valyuzhenich A., Polynomial integrals of magnetic geodesic flows on the 2-torus on several energy levels // Discrete & Continuous Dynamical Systems – A, 2019, V. 39, No 11, P. 6565-6583. DOI 10.3934/dcds.2019285 (Q1 journal)

10. Kim S., Manturov V.O., Artin's braids, Braids for three space, and groups Г4n and Gkn // Journal of Knot Theory and Its Ramifications, 2019, V. 28, No 10, article No 1950063. DOI 10.1142/S0218216519500639

11. Manturov V.O., Fedoseev D.A., Sliceness criterion for odd free knots // Sbornik: Mathematics, 2019, V. 210, No 10, P. 1493-1509. DOI 10.1070/SM9144

12. Dobrynin A.A., Vesnin A.Yu., On the Wiener Complexity and the Wiener Index of Fullerene Graphs // Mathematics, 2019, V. 7, No 11, article No 1071. DOI 10.3390/math7111071 (Q1 journal)

13. Matveev S.V., An example of the decomposition non-uniqueness for a 3-dimensional geometric object // Chelyab. Fiz.-Mat. Zh., 2019, V. 4, No 3, С. 265-275. DOI 10.24411/2500-0101-2019-14302

14. Dobrynin A.A., Rosenfeld V.R., Enumeration of Pentahexagonal Annuli in the Plane // Mathematics, 2019, V. 7, No 12, article No 1156. DOI 10.3390/math7121156 (Q1 journal)

15. Kauffman L.H., Velimirovic L.S., Najdanovic M.S., Rancic S.R., Infinitesimal bending of knots and energy change // Journal of Knot Theory and Its Ramifications, 2019, V. 28, No 11, article No 1940009. DOI 10.1142/S0218216519400091

16. Antoniou S., Kauffman L.H., Lambropoulou S., Topological surgery in cosmic phenomena // Advances in Theoretical and Mathematical Physics, 2019, V. 23, No 3, P. 701-765. DOI 10.4310/ATMP.2019.v23.n3.a3


Статьи, опубликованные в 2020 году:

1. Dobrynin A.A., Iranmanesh A., Wiener Index of Edge Thorny Graphs of Catacondensed Benzenoids // Mathematics, 2020, V. 8, No 4, article No 467. DOI 10.3390/math8040467 (Q1 journal)

2. Kwon Y.S., Mednykh A.A., Mednykh I.A., Complexity of the circulant foliation over a graph // Journal of Algebraic Combinatorics, 2020. DOI 10.1007/s10801-019-00921-7

3. Kauffman L.H., Lopes P., The prevalence of persistent tangles // Topology and Its Applications, 2020, V. 271, article No 107040. DOI 10.1016/j.topol.2019.107040

4. Kauffman L.H., Lambropoulou S., New skein invariants of links // Journal of Knot Theory and Its Ramifications, 2019, V. 28, No 13, article No 1940018. DOI 10.1142/S0218216519400182 (Published: 6 January 2020)

5. Antoniou S., Kauffman L.H., Lambropoulou S., Detecting and visualizing 3-dimensional surgery // Journal of Knot Theory and Its Ramifications, 2019, V. 28, No 13, article No 1940015. DOI 10.1142/S0218216519400157 (Published: 6 January 2020)

6. Akimova A.A., Manturov V.O., Labels instead of coefficients: A label bracket [·]L which dominates the Jones polynomial X(·), the Kuperberg bracket |·⟩A2, and the normalized arrow polynomial W[·] // Journal of Knot Theory and Its Ramifications, 2020, V. 29, No 2, article No 204001. DOI 10.1142/S0218216520400015

7. Ilyutko D.P., Manturov V.O., Picture-valued parity-biquandle bracket // Journal of Knot Theory and Its Ramifications, 2020, V. 29, No 2, article No 204004. DOI 10.1142/S0218216520400040

8. Ivanov M., Vesnin A.Yu., F-polynomials of tabulated virtual knots // Journal of Knot Theory and Its Ramifications, 2020, V. 29, article No 2050049. DOI 10.1142/S0218216520500546

9. Panagiotou E., Kauffman L.H., Knot polynomials of open and closed curves // Proceedings of the Royal Society A - Mathematical Physical and Engineering Sciences, 2020, V. 476, No 2240, article No 20200124. DOI 10.1098/rspa.2020.0124

10. Dobrynin A.A., Sharafdini R., Stepwise transmission irregular graphs // Applied Mathematics and Computation, 2020, V. 371, article No 124949. DOI 10.1016/j.amc.2019.124949 (Q1 journal)

11. Agapov S., On First Integrals of Two-Dimensional Geodesic Flows // Siberian Mathematical Journal, 2020, V. 61, No 4, P. 563-574. DOI 10.1134/S0037446620040011

12. Vesnin A.Yu., Ivanov M.E., The polynomials of prime virtual knots of genus 1 and complexity at most 5 // Siberian Mathematical Journal, 2020, V. 61, No 6, P. 994–1001. DOI 10.1134/S003744662006004X

13. Kordyukov Yu.A., Taimanov I.A., Quasiclassical approximation for magnetic monopoles // Russian Mathematical Surveys, 2020, V. 75, No 6, P. 85-106. DOI 10.4213/rm9969 (Q1 journal)

14. Mednykh A.A., Volumes of two-bridge cone manifolds in spaces of constant curvature // Transformation Groups, 2020. DOI 10.1007/S00031-020-09632-x