1. 2020
  2. Wiener index of edge thorny graphs of catacondensed benzenoids

    Dobrynin, A. A. & Iranmanesh, A., 1 Apr 2020, In: Mathematics. 8, 4, 13 p., 467.

    Research output: Contribution to journalArticlepeer-review

  3. On Rationality of Generating Function for the Number of Spanning Trees in Circulant Graphs

    Mednykh, A. D. & Mednykh, I. A., 1 Mar 2020, In: Algebra Colloquium. 27, 1, p. 87-94 8 p.

    Research output: Contribution to journalArticlepeer-review

  4. Rational Integrals of a Natural Mechanical System on the 2-Torus

    Agapov, S. V., 1 Mar 2020, In: Siberian Mathematical Journal. 61, 2, p. 199-207 9 p.

    Research output: Contribution to journalArticlepeer-review

  5. The prevalence of persistent tangles

    Kauffman, L. H. & Lopes, P., 15 Feb 2020, In: Topology and its Applications. 271, 12 p., 107040.

    Research output: Contribution to journalArticlepeer-review

  6. Ideal right-angled polyhedra in Lobachevsky space

    Yurievich, V. A. & Alexandrovich, E. A., 1 Feb 2020, In: Chebyshevskii Sbornik. 21, 2, p. 65-83 19 p.

    Research output: Contribution to journalArticlepeer-review

  7. Labels instead of coefficients: A label bracket [•] L which dominates the Jones polynomial [•], the Kuperberg bracket [•] A 2, and the normalized arrow polynomial [•]

    Akimova, A. A. & Manturov, V. O., 1 Feb 2020, In: Journal of Knot Theory and its Ramifications. 29, 2, 23 p., 2040001.

    Research output: Contribution to journalArticlepeer-review

  8. On the structure of the critical group of a circulant graph with non-constant jumps

    Mednykh, A. D. & Mednykh, I. A., 1 Feb 2020, In: Russian Mathematical Surveys. 75, 1, p. 190-192 3 p., 5.

    Research output: Contribution to journalArticlepeer-review

  9. Picture-valued parity-biquandle bracket

    Ilyutko, D. P. & Manturov, V. O., 1 Feb 2020, In: Journal of Knot Theory and its Ramifications. 29, 2, 22 p., 2040004.

    Research output: Contribution to journalArticlepeer-review

  10. Word and Conjugacy Problems in Groups Gkk+1

    Fedoseev, D. A., Karpov, A. B. & Manturov, V. O., 1 Feb 2020, In: Lobachevskii Journal of Mathematics. 41, 2, p. 176-193 18 p.

    Research output: Contribution to journalArticlepeer-review

  11. Detecting and visualizing 3-dimensional surgery

    Antoniou, S., Kauffman, L. H. & Lambropoulou, S., 6 Jan 2020, In: Journal of Knot Theory and its Ramifications. 28, 13, 24 p., 1940015.

    Research output: Contribution to journalArticlepeer-review

  12. New skein invariants of links

    Kauffman, L. H. & Lambropoulou, S., 6 Jan 2020, In: Journal of Knot Theory and its Ramifications. 28, 13, 53 p., 1940018.

    Research output: Contribution to journalArticlepeer-review

  13. On one-point intersection property for self-similar fractals

    Kamalutdinov, K. & Tetenov, A., 1 Jan 2020, In: Nonlinearity. 33, 1, p. 408-416 9 p.

    Research output: Contribution to journalArticlepeer-review

  14. Counting rooted spanning foresrs in cobordism of two circulant graphs

    Abrosimov, N. V., Baigonakova, G. A., Grunwald, L. A. & Mednykh, I. A., 2020, In: Siberian Electronic Mathematical Reports. 17, p. 814-823 10 p.

    Research output: Contribution to journalArticlepeer-review

  15. Periodic one-point rank one commuting difference operators

    Dobrogowska, A. & Mironov, A. E., 2020, Trends in Mathematics. Springer, p. 67-74 8 p. (Trends in Mathematics).

    Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

  16. Positive One-Point Commuting Difference Operators

    Mauleshova, G. S. & Mironov, A. E., 2020, INTEGRABLE SYSTEMS AND ALGEBRAIC GEOMETRY: A CELEBRATION OF EMMA PREVIATO'S 65TH BIRTHDAY, VOL 1. Donagi, R. & Shaska, T. (eds.). Cambridge University Press, p. 395-412 18 p. (London Mathematical Society Lecture Note Series; vol. 458).

    Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

  17. Two Moore’s Theorems for Graphs

    Mednykh, A. & Mednykh, I., 2020, In: Rendiconti dell'Istituto di Matematica dell'Universita di Trieste. 52, p. 469-476 8 p.

    Research output: Contribution to journalArticlepeer-review

  18. Volume Estimates for Right-Angled Hyperbolic Polyhedra

    Egorov, A. & Vesnin, A., 2020, In: Rendiconti dell'Istituto di Matematica dell'Universita di Trieste. 52, p. 565-576 12 p.

    Research output: Contribution to journalArticlepeer-review

  19. Полиномы простых виртуальных узлов рода один и сложности не более пяти

    Веснин, А. Ю. & Иванов, М. Э., 2020, In: Сибирский математический журнал. 61, 6, p. 1247-1256 10 p., 4.

    Research output: Contribution to journalArticlepeer-review

  20. 2019
  21. Topological surgery in cosmic phenomena

    Antoniou, S., Kauffman, L. H. & Lambropoulou, S., 4 Dec 2019, In: Advances in Theoretical and Mathematical Physics. 23, 3, p. 701-765 65 p.

    Research output: Contribution to journalArticlepeer-review

  22. Enumeration of Pentahexagonal Annuli in the Plane

    Dobrynin, A. A. & Rosenfeld, V. R., 1 Dec 2019, In: Mathematics. 7, 12, 12 p., 1156.

    Research output: Contribution to journalArticlepeer-review

  23. On automorphisms of graphs and Riemann surfaces acting with fixed points

    Gromadzki, G., Mednykh, A. D. & Mednykh, I. A., 1 Dec 2019, In: Analysis and Mathematical Physics. 9, 4, p. 2021-2031 11 p.

    Research output: Contribution to journalArticlepeer-review

  24. Structural aspects of twin and pure twin groups

    Bardakov, V., Singh, M. & Vesnin, A., 1 Dec 2019, In: Geometriae Dedicata. 203, 1, p. 135-154 20 p.

    Research output: Contribution to journalArticlepeer-review

  25. Elementary formulas for kirchhoff index of mobius ladder and prism graphs

    Baigonakova, G. A. & Mednykh, A. D., 21 Nov 2019, In: Сибирские электронные математические известия. 16, p. 1654-1661 8 p., 117.

    Research output: Contribution to journalArticlepeer-review

  26. On the Wiener complexity and the Wiener Index of fullerene graphs

    Dobrynin, A. A. & Vesnin, A. Y., 1 Nov 2019, In: Mathematics. 7, 11, 17 p., 1071.

    Research output: Contribution to journalArticlepeer-review

  27. Multi-dimensional conservation laws and integrable systems

    Makridin, Z. V. & Pavlov, M. V., Nov 2019, In: Studies in Applied Mathematics. 143, 4, p. 339-355 17 p.

    Research output: Contribution to journalArticlepeer-review

  28. Polynomial integrals of magnetic geodesic flows on the 2-torus on several energy levels

    Agapov, S. & Valyuzhenich, A., Nov 2019, In: Discrete and Continuous Dynamical Systems- Series A. 39, 11, p. 6565-6583 19 p.

    Research output: Contribution to journalArticlepeer-review

  29. Infinitesimal bending of knots and energy change

    Kauffman, L. H., Velimirović, L. S., Najdanović, M. S. & Rančić, S. R., 1 Oct 2019, In: Journal of Knot Theory and its Ramifications. 28, 11, 15 p., 1940009.

    Research output: Contribution to journalArticlepeer-review

  30. A sliceness criterion for odd free knots

    Manturov, V. O. & Fedoseev, D. A., Oct 2019, In: Sbornik Mathematics. 210, 10, p. 1493-1509 17 p.

    Research output: Contribution to journalArticlepeer-review

  31. Artin's braids, braids for three space, and groups σ n 4 and G n k

    Kim, S. & Manturov, V. O., 1 Sept 2019, In: Journal of Knot Theory and its Ramifications. 28, 10, 20 p., 1950063.

    Research output: Contribution to journalArticlepeer-review

  32. Brieskorn submanifolds, local moves on knots, and knot products

    Kauffman, L. H. & Ogasa, E., 1 Sept 2019, In: Journal of Knot Theory and its Ramifications. 28, 10, 39 p., 1950068.

    Research output: Contribution to journalArticlepeer-review

  33. Free quandles and knot quandles are residually finite

    Bardakov, V. G., Singh, M. & Singh, M., Aug 2019, In: Proceedings of the American Mathematical Society. 147, 8, p. 3621-3633 13 p.

    Research output: Contribution to journalArticlepeer-review

  34. Automorphism groups of quandles and related groups

    Bardakov, V., Nasybullov, T. & Singh, M., 1 May 2019, In: Monatshefte fur Mathematik. 189, 1, p. 1-21 21 p.

    Research output: Contribution to journalArticlepeer-review

  35. Commutator subgroups of virtual and welded braid groups

    Bardakov, V. G., Gongopadhyay, K. & Neshchadim, M. V., 1 May 2019, In: International Journal of Algebra and Computation. 29, 3, p. 507-533 27 p.

    Research output: Contribution to journalArticlepeer-review

  36. Complexity of Discrete Seifert Foliations over a Graph

    Kwon, Y. S., Mednykh, A. D. & Mednykh, I. A., 1 May 2019, In: Doklady Mathematics. 99, 3, p. 286-289 4 p.

    Research output: Contribution to journalArticlepeer-review

  37. Difference Krichever—Novikov Operators of Rank 2

    Mauleshova, G. S. & Mironov, A. E., 1 May 2019, In: Proceedings of the Steklov Institute of Mathematics. 305, 1, p. 195-208 14 p.

    Research output: Contribution to journalArticlepeer-review

  38. Even unique intersection point can break OSC: an example

    Тетенов, А. В. & Камалутдинов, К. Г., 9 Apr 2019, In: Nonlinearity. 8 p.

    Research output: Contribution to journalArticlepeer-review

  39. Brieskorn Manifolds, Generalized Sieradski Groups, and Coverings of Lens Spaces

    Vesnin, A. Y. & Kozlovskaya, T. A., 1 Apr 2019, In: Proceedings of the Steklov Institute of Mathematics. 304, p. S175-S185 11 p.

    Research output: Contribution to journalArticlepeer-review

  40. Knot Groups and Residual Nilpotence

    Bardakov, V. G. & Neshchadim, M. V., 1 Apr 2019, In: Proceedings of the Steklov Institute of Mathematics. 304, p. S23-S30 8 p.

    Research output: Contribution to journalArticlepeer-review

  41. The generalized Yamada polynomials of virtual spatial graphs

    Deng, Q., Jin, X. & Kauffman, L. H., 1 Apr 2019, In: Topology and its Applications. 256, p. 136-158 23 p.

    Research output: Contribution to journalArticlepeer-review

  42. Infinite family of 3-connected cubic transmission irregular graphs

    Dobrynin, A. A., 31 Mar 2019, In: Discrete Applied Mathematics. 257, p. 151-157 7 p.

    Research output: Contribution to journalArticlepeer-review

  43. Topological aspects of quantum entanglement

    Kauffman, L. H. & Mehrotra, E., 1 Mar 2019, In: Quantum Information Processing. 18, 3, 36 p., 76.

    Research output: Contribution to journalArticlepeer-review

  44. Polynomial non-integrability of magnetic billiards on the sphere and the hyperbolic plane

    Bialy, M. & Mironov, A. E., 16 Jan 2019, In: Russian Mathematical Surveys. 74, 2, p. 187-209 23 p., 1.

    Research output: Contribution to journalArticlepeer-review

  45. A Survey on Knotoids, Braidoids and Their Applications

    Gügümcü, N., Kauffman, L. H. & Lambropoulou, S., 1 Jan 2019, Knots, Low-Dimensional Topology and Applications - Knots in Hellas, International Olympic Academy, 2016. Adams, C. C., Gordon, C. M., Jones, V. F. R., Kauffman, L. H., Lambropoulou, S., Millett, K. C., Przytycki, J. H., Przytycki, J. H., Ricca, R. & Sazdanovic, R. (eds.). Springer New York, p. 389-409 21 p. (Springer Proceedings in Mathematics and Statistics; vol. 284).

    Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

  46. Discrete analog of the jacobi set for vector fields

    Adilkhanov, A. N., Pavlov, A. V. & Taimanov, I. A., 1 Jan 2019, Computational Topology in Image Context - 7th International Workshop, CTIC 2019, Proceedings. Marfil, R., Calderón, M., Bandera, A., Díaz del Río, F. & Real, P. (eds.). Springer, p. 1-11 11 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 11382 LNCS).

    Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

  47. Extending the Classical Skein

    Kauffman, L. H. & Lambropoulou, S., 1 Jan 2019, Knots, Low-Dimensional Topology and Applications - Knots in Hellas, International Olympic Academy, 2016. Adams, C. C., Gordon, C. M., Jones, V. F. R., Kauffman, L. H., Lambropoulou, S., Millett, K. C., Przytycki, J. H., Przytycki, J. H., Ricca, R. & Sazdanovic, R. (eds.). Springer New York, p. 225-245 21 p. (Springer Proceedings in Mathematics and Statistics; vol. 284).

    Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

  48. Infinite family of 2-connected transmission irregular graphs

    Dobrynin, A. A., 1 Jan 2019, In: Applied Mathematics and Computation. 340, p. 1-4 4 p.

    Research output: Contribution to journalArticlepeer-review

  49. Infinite family of transmission irregular trees of even order

    Dobrynin, A. A., 1 Jan 2019, In: Discrete Mathematics. 342, 1, p. 74-77 4 p.

    Research output: Contribution to journalArticlepeer-review

  50. Iterants and the Dirac Equation

    Kauffman, L. H., 1 Jan 2019, In: Journal of Physics: Conference Series. 1251, 1, 012003.

    Research output: Contribution to journalConference articlepeer-review

  51. Linearity problem for non-abelian tensor products

    Bardakov, V. G., Lavrenov, A. V. & Neshchadim, M. V., 1 Jan 2019, In: Homology, Homotopy and Applications. 21, 1, p. 269-281 13 p.

    Research output: Contribution to journalArticlepeer-review

  52. On a family of minimal isotropic tori and Klein bottles in ℂP3

    Yermentay, M. S., 1 Jan 2019, In: Сибирские электронные математические известия. 16, p. 955-958 4 p.

    Research output: Contribution to journalArticlepeer-review

  53. On exact solutions of a system of quasi-linear equations describing integrable geodesic flows on a surface

    Abdikalikova, G. & Mironov, A. E., 1 Jan 2019, In: Сибирские электронные математические известия. 16, p. 949-954 6 p.

    Research output: Contribution to journalArticlepeer-review

  54. On rank two algebro-geometric solutions of an integrable chain

    Mironov, A. E. & Mauleshova, G. S., 1 Jan 2019, Trends in Mathematics. Springer International Publishing AG, p. 189-195 7 p. (Trends in Mathematics).

    Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

  55. On the set of subarcs in some non-postrcritically finite dendrites

    Abrosimov, N. V., Chanchieva, M. V. & Tetenov, A. V., 1 Jan 2019, In: Сибирские электронные математические известия. 16, p. 975-982 8 p.

    Research output: Contribution to journalArticlepeer-review

  56. Quantum knots and knotted zeros

    Kauffman, L. H. & Lomonaco, S. J., 1 Jan 2019, Quantum Information Science, Sensing, and Computation XI. Donkor, E., Hayduk, M., Frey, M. R., Lomonaco, S. J. & Myers, J. M. (eds.). The International Society for Optical Engineering, p. 10 9 p. 109840A. (Proceedings of SPIE - The International Society for Optical Engineering; vol. 10984).

    Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

  57. Self-intersections in parametrized self-similar sets under translations and extensions of copies

    Kamalutdinov, K. G., 1 Jan 2019, In: Trudy Instituta Matematiki i Mekhaniki UrO RAN. 25, 2, p. 116-124 9 p.

    Research output: Contribution to journalArticlepeer-review

  58. The total curvature of knots under second-order infinitesimal bending

    Najdanović, M. S., Ranĉić, S. R., Kauffman, L. H. & Velimirović, L. S., 1 Jan 2019, In: Journal of Knot Theory and its Ramifications. 28, 1, 12 p., 1950005.

    Research output: Contribution to journalArticlepeer-review

  59. Topological Surgery in the Small and in the Large

    Antoniou, S., Kauffman, L. H. & Lambropoulou, S., 1 Jan 2019, Knots, Low-Dimensional Topology and Applications - Knots in Hellas, International Olympic Academy, 2016. Adams, C. C., Gordon, C. M., Jones, V. F. R., Kauffman, L. H., Lambropoulou, S., Millett, K. C., Przytycki, J. H., Przytycki, J. H., Ricca, R. & Sazdanovic, R. (eds.). Springer New York, p. 449-456 8 p. (Springer Proceedings in Mathematics and Statistics; vol. 284).

    Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

  60. Trace formula for the magnetic Laplacian

    Kordyukov, Y. A. & Taimanov, I. A., 1 Jan 2019, In: Russian Mathematical Surveys. 74, 2, p. 325-361 37 p., 4.

    Research output: Contribution to journalArticlepeer-review

  61. Virtual Knot Theory and Virtual Knot Cobordism

    Kauffman, L. H., 1 Jan 2019, Knots, Low-Dimensional Topology and Applications - Knots in Hellas, International Olympic Academy, 2016. Adams, C. C., Gordon, C. M., Jones, V. F. R., Kauffman, L. H., Lambropoulou, S., Millett, K. C., Przytycki, J. H., Przytycki, J. H., Ricca, R. & Sazdanovic, R. (eds.). Springer New York, p. 67-114 48 p. (Springer Proceedings in Mathematics and Statistics; vol. 284).

    Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

  62. Area and volume in non-Euclidean geometry

    Abrosimov, N. & Mednykh, A., 2019, EIGHTEEN ESSAYS IN NON-EUCLIDEAN GEOMETRY. Alberge & Papadopoulos, A. (eds.). European Mathematical society, p. 151-189 39 p. (IRMA Lectures in Mathematics and Theoretical Physics; vol. 29).

    Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

  63. Пример неоднозначности разложения трёхмерного геометрического объекта

    Matveev, S. V., 2019, In: Chelyabinsk Physical and Mathematical Journal. 4, 3, p. 265-275 11 p., 3.

    Research output: Contribution to journalArticlepeer-review

  64. 2018
  65. Generalised Kummer construction and the cohomology rings of G 2 -manifolds

    Taimanov, I. A., 1 Dec 2018, In: Sbornik Mathematics. 209, 12, p. 1803-1811 9 p.

    Research output: Contribution to journalArticlepeer-review

  66. Cobordisms of graphs: A sliceness criterion for stably odd free knots and related results on cobordisms

    Fedoseev, D. A. & Manturov, V. O., 1 Nov 2018, In: Journal of Knot Theory and its Ramifications. 27, 13, 24 p., 1842011.

    Research output: Contribution to journalArticlepeer-review

  67. n-groups for simplicial complexes and the word problem on G2 (K)

    Manturov, V. O. & Wu, J., 1 Nov 2018, In: Journal of Knot Theory and its Ramifications. 27, 13, 5 p., 1842013.

    Research output: Contribution to journalArticlepeer-review

  68. The volume of a compact hyperbolic antiprism

    Abrosimov, N. & Vuong, B., Nov 2018, In: Journal of Knot Theory and its Ramifications. 27, 13, 12 p., 1842010.

    Research output: Contribution to journalArticlepeer-review

  69. Virtual knot cobordism and the affine index polynomial

    Kauffman, L. H., 1 Oct 2018, In: Journal of Knot Theory and its Ramifications. 27, 11, 29 p., 1843017.

    Research output: Contribution to journalArticlepeer-review

  70. A survey on polynomial in momenta integrals for billiard problems

    Bialy, M. & Mironov, A. E., 17 Sept 2018, In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 376, 2131, 19 p., 20170418.

    Research output: Contribution to journalArticlepeer-review

  71. Graphical virtual links and a polynomial for signed cyclic graphs

    Deng, Q., Jin, XA. & Kauffman, L. H., 1 Sept 2018, In: Journal of Knot Theory and its Ramifications. 27, 10, 14 p., 1850054.

    Research output: Contribution to journalArticlepeer-review

  72. Majorana Fermions and representations of the braid group

    Kauffman, L. H., 20 Aug 2018, In: International Journal of Modern Physics A. 33, 23, 28 p., 1830023.

    Research output: Contribution to journalArticlepeer-review

  73. A canonical basis of two-cycles on a K3 surface

    Taimanov, I. A., 1 Aug 2018, In: Sbornik Mathematics. 209, 8, p. 1248-1256 9 p.

    Research output: Contribution to journalArticlepeer-review

  74. Braiding, Majorana fermions, Fibonacci particles and topological quantum computing

    Kauffman, L. H. & Lomonaco, S. J., 1 Aug 2018, In: Quantum Information Processing. 17, 8, 81 p., 201.

    Research output: Contribution to journalArticlepeer-review

  75. Darboux Moutard Transformations and Poincaré—Steklov Operators

    Novikov, R. G. & Taimanov, I. A., 1 Aug 2018, In: Proceedings of the Steklov Institute of Mathematics. 302, 1, p. 315-324 10 p.

    Research output: Contribution to journalArticlepeer-review

  76. Braiding, Majorana Fermions and the Dirac Equation

    Kauffman, L. H., 17 Jul 2018, In: Journal of Physics: Conference Series. 1051, 1, 9 p., 012036.

    Research output: Contribution to journalConference articlepeer-review

  77. Non-commutativeworlds and classical constraints

    Kauffman, L. H., 1 Jul 2018, In: Entropy. 20, 7, p. 1-25 25 p., 483.

    Research output: Contribution to journalArticlepeer-review

  78. Twofold cantor sets in ℝ

    Kamalutdinov, K. & Tetenov, A., 1 Jan 2018, In: Сибирские электронные математические известия. 15, p. 801-814 14 p.

    Research output: Contribution to journalArticlepeer-review

  79. Compatible Actions and Non-abelian Tensor Products

    Bardakov, V. G. & Neshchadim, M. V., 2018, Indian Statistical Institute Series. Springer, p. 29-39 11 p. (Indian Statistical Institute Series).

    Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

  80. 2017
  81. The Multiplicity Problem for Periodic Orbits of Magnetic Flows on the 2-Sphere

    Abbondandolo, A., Asselle, L., Benedetti, G., Mazzucchelli, M. & Taimanov, I. A., 2 Jan 2017, In: Advanced Nonlinear Studies. 17, 1, p. 17-30 14 p.

    Research output: Contribution to journalArticlepeer-review

  82. Об отображениях, сохраняющих метрический порядок

    Kamalutdinov, K. G., 2017, In: Siberian Electronic Mathematical Reports. 14, p. 1434-1439 6 p.

    Research output: Contribution to journalArticlepeer-review

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