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Alexander O. Ivanov

Full list of publications: department page and ISTINA profile (IRID 388806)

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Titles are translated into English, personal names and Russian-language journal titles are transliterated, and venue information is given in English; ISTINA records are linked where available. The list combines the Russian departmental publication list with the ISTINA profile and contains 229 bibliographic records: 166 journal articles, 21 book chapters and collected papers, 13 books, textbooks and preprints, 6 conference abstracts, 23 conference talks.

Journal articles

166 records

  1. 2026 Gromov-Hausdorff distance and Jung constant of finite-dimensional normed spaces Adams Henry, Bogatyi Semeon A., Frick Florian, Ilyukhin Daniil A., Ivanov Alexander O., Mikhailov Ivan N., Tuzhilin Alexey A., Vikhrov Anton A. In: ArXiv e-prints, pp. 1–19 ISTINA record doi
  2. 2026 Minimal Fillings of Finite Metric Spaces and Convex Polyhedra Ivanov A.O., Tuzhilin A.A. In: ArXiv e-prints, no. arXiv:2607.27211, pp. 1–14 ISTINA record doi
  3. 2025 Anatoly Fomenko Bolsinov Alexey Viktorovich, Dobrovolsky Nikolay Mikhailovich, Ivanov Alexander Olegovich, Kudryavtseva E., Oshemkov Andrey Aleksandrovich, Popelensky Fedor Yurievich, Tuzhilin A., Chubarikov Vladimir Nikolaevich, Shafarevich Andrey Igorevich, Manturov V.A. In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 26, no. 2, pp. 4–6 ISTINA record doi
  4. 2025 Metric Space Recognition by Gromov-Hausdorff Distances to Simplexes Ivanov A.O., Lychagina E.S., Tuzhilin A.A. In: Lobachevskii Journal of Mathematics, published by Kazanskii Gosudarstvennyi Universitet/Kazan State University (Russian Federation), vol. 46, no. 3, pp. 1087–1097 ISTINA record doi
  5. 2025 Symmetries of convex polytopes of binary trees Ivanov A.O., Markhanov D.A. In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 26, no. 2, pp. 101–124 ISTINA record doi
  6. 2024 Embeddings to rectilinear space and Gromov-Hausdorff distances Ivanov A.O., Tuzhilin A.A. In: Matematicki Vesnik, published by Drustvo Matematicara SR Srbije (Serbia), pp. 1–13 ISTINA record doi
  7. 2024 Existence of irreducible multipaths of multiplicity 2 Ivanov A.O., Shcherbakov O.S. In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 25, no. 3, pp. 101–117 ISTINA record doi
  8. 2024 Gromov-Hausdorff Geometry of Metric Trees Ivanov A.O., Mikhailov I.N., Tuzhilin A.A. In: ArXiv e-prints ISTINA record
  9. 2024 Metric Space Recognition by Gromov-Hausdorff Distances to Simplexes Ivanov A.O., Lychagina E.S., Tuzhilin A.A. In: ArXiv e-prints ISTINA record
  10. 2024 Vladimir Grigorievich Chirsky (on his 75th birthday) Shafarevich A.I., Deza E.I., Dobrovolsky N.M., Ivanov A.O., Kozko A.I., Krupitsyn E.S., Matveev V.Yu., Nesterenko Yu.V., Semenov A.L., Chubarikov V.N., Shamolin M.V., Dobrovolsky N.N. In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 25, no. 3, pp. 5–10 ISTINA record doi
  11. 2023 Calculating the Gromov-Hausvdorff distance using the Borsuk number Ivanov A.O., Tuzhilin A.A. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 1, pp. 33–38 ISTINA record doi
  12. 2023 Hausdorff Implementation of Linear Geodesics in the Gromov–Hausdorff Space Ivanov A.O., Tuzhilin A.A. In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 277 ISTINA record doi
  13. 2023 Path connectivity of spheres in the Gromov–Hausdorff class Ivanov A., Tsvetnikov R., Tuzhilin A. In: Topology and its Applications, published by Elsevier BV (Netherlands), vol. 329 ISTINA record doi
  14. 2023 Sergei Sergeevich Demidov (on his 80th birthday) Shafarevich A.I., Chubarikov V.N., Semenov A.L., Bukhstaber V.M., Ivanov A.O., Tikhomirov V.M., Vizgin Vl P., Chirsky V.G., Kozlov Valery Vasilievich, Kozlov M.V., Zaitsev E.A., Smirnova G.S., Chinenova V.N., Dobrovolsky N.M. In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 24, no. 1, pp. 334–355 ISTINA record doi
  15. 2022 Calculating Gromov-Hausdorff Distance by means of Borsuk Number Ivanov A.O., Tuzhilin A.A. In: ArXiv e-prints, no. arXiv:2203.04030 [math.MG] ISTINA record
  16. 2022 Geometry of the Gromov–Hausdorff distance on the class of all metric spaces Borzov S.I., Ivanov A.O., Tuzhilin A.A. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 213, no. 5, pp. 68–87 ISTINA record doi
  17. 2022 Geormtry of the Gromov-Hausdorff Distance on the Class of all Metric Spaces Borzov Stanislav Igorevich, Ivanov Alexandr Olegovich, Tuzhilin Alexey Avgustinovich In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 213, no. 5 ISTINA record doi
  18. 2022 Isometric embedding of bounded metric spaces in the Gromov–Hausdorff class Ivanov A.O., Tuzhilin A.A. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 213, no. 10, pp. 90–107 ISTINA record doi
  19. 2022 Isometric embeddings of bounded metric spaces in the Gromov-Hausdorff class Ivanov A.O., Tuzhilin A.A. In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 213, no. 10, pp. 1400–1414 ISTINA record doi
  20. 2022 Isometric Embeddings of Bounded Metric Spaces into the Gromov-Hausdorff Class Ivanov A.O., Tuzhilin A.A. In: ArXiv e-prints, no. arXiv:2203.02904 [math.MG] ISTINA record
  21. 2022 Recognition of anomalies of an unknown type Ivanov A.O., Nosovsky G.V., Kibkalo V.A., Nikulin M.A., Popelensky F.Yu., Fedoseev D.A., Gribushin I.V., Zlobin V.V., Kuzin S.S., Mazurenko I.L. In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 23, no. 5, pp. 227–240 ISTINA record doi
  22. 2022 Yuri Valentinovich Nesterenko (on his 75th birthday) Shafarevich A.I., Fomenko A.T., Chubarikov V.N., Ivanov A.O., Chirsky V.G., Bernik V.I., Bykovsky V.A., Galochkin A.I., Demidov S.S., Gashkov S.B., Nizhnikov A.I., Fomin A.A., Deza E.I., Kanel-Belov A.Ya., Dobrovolsky N.M., Dobrovolsky N.N., Rebrova I.Yu., Salikhov V.Kh. In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 23, no. 1, pp. 10–20 ISTINA record doi
  23. 2021 Manifold Hypothesis in Data Analysis: Double Geometrically-Probabilistic Approach to Manifold Dimension Estimation Ivanov Alexander Olegovich, Nosovskiy Gleb, Chekunov Alexey, Fedoseev D.A., Kibkalo Vladislav, Nikulin Mikhail, Popelenskiy Fedor, Komkov Stepan, Mazurenko Ivan, Petiushko Aleksandr In: arXiv.org [cs.CV] ISTINA record
  24. 2021 Path Connectivity of Spheres in the Gromov-Hausdorff Class Ivanov A.O., Tsvetnikov R.A., Tuzhilin A.A. In: ArXiv e-prints, no. arXiv:2111.06709, pp. 1–16 ISTINA record
  25. 2021 The Fermat-Steiner problem in the space of compact subsets $\mathbb R^m$ with the Hausdorff metric Galstyan A.Kh., Ivanov A.O., Tuzhilin A.A. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 212, no. 1, pp. 28–62 ISTINA record doi
  26. 2021 The Fermat-Steiner problem in the space of compact subsets of R^m endowed with the Hausdorff metric Galstyan A.Kh, Ivanov A.O., Tuzhilin A.A. In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 212, no. 1, pp. 25–56 ISTINA record doi
  27. 2020 Analytic Deformations of Minimal Networks Ivanov A.O., Tuzhilin A.A. In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 248, no. 5, pp. 621–635 ISTINA record doi
  28. 2020 Anatoly Fomenko Bolsinov A.V., Dobrovolsky N.M., Ivanov A.O., Kudryavtseva E.A., Oshemkov A.A., Popelensky F.Yu., Tuzhilin A.A., Chubarikov V.N., Shafarevich A.I. In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 21, no. 2, pp. 5–7 ISTINA record doi
  29. 2020 Gromov-Hausdorff Distances to Simplexes and Some Applications to Discrete Optimisation Ivanov A.O., Tuzhilin A.A. In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 21, no. 2, pp. 169–189 ISTINA record doi
  30. 2020 Hausdorff realization of linear geodesics of the Gromov–Hausdorff space, Itogi Nauki i Tekhniki. Ser. Let's lie. mat. and its adj. Subject review Ivanov A.O., Tuzhilin A.A. In: Results in Science and Technology. Modern Mathematics and Its Applications. Thematic Reviews, vol. 182, pp. 33–38 ISTINA record doi
  31. 2019 Dual Linear Programming Problem and One-Dimensional Gromov Minimal Fillings of Finite Metric Space Alexander Ivanov, Alexey Tuzhilin In: ArXiv e-prints: arXiv:1907.03828 ISTINA record
  32. 2019 Gromov-Hausdorff distance to simplexes Grigoriev D.S., Ivanov A.O., Tuzhilin A.A. In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 20, no. 2, pp. 100–114 ISTINA record doi
  33. 2019 Gromov–Hausdorff Distance to Simplexes Grigor'ev Dmitriy S., Ivanov Alexander O., Tuzhilin Alexey A. In: ArXiv e-prints, arXiv:1906.09644 ISTINA record
  34. 2019 Hausdorff Realization of Linear Geodesics of Gromov-Hausdorff Space Alexander Ivanov, Alexey Tuzhilin In: ArXiv e-prints, no. 1904.09281 ISTINA record
  35. 2019 Isometry Group of Gromov-Hausdorff Space Tuzhilin A.A., Ivanov A.O. In: Matematicki Vesnik, published by Drustvo Matematicara SR Srbije (Serbia), vol. 71, no. 1-2, pp. 123–154 ISTINA record
  36. 2019 Isometry group of Gromov-Hausdorff space Ivanov A.O., Tuzhilin A.A. In: Matematicki Vesnik, published by Drustvo Matematicara SR Srbije (Serbia), vol. 71, no. 1-2, pp. 123–154 ISTINA record
  37. 2019 Solution to Generalized Borsuk Problem in Terms of the Gromov–Hausdorff Distances to Simplexes Ivanov Alexander O., Tuzhilin Alexey A. In: ArXiv e-prints, arXiv:1906.10574 ISTINA record
  38. 2019 Steiner Problem in the Gromov-Hausdorff Space: The Case of Finite Metric Spaces Ivanov A.O., Nikolaeva N.K., Tuzhilin A.A. In: Proceedings of the Steklov Institute of Mathematics, published by Springer Verlag (Germany), vol. 304, no. 1, pp. 88–96 ISTINA record doi
  39. 2019 Steiner type ratios of Gromov–Hausdorff space Ivanov A.O., Tuzhilin A.A. In: European Journal of Combinatorics, published by Academic Press (United States), vol. 80, pp. 172–183 ISTINA record doi
  40. 2019 The Gromov-Hausdorff Distance between Simplexes and Two-Distance Spaces Ivanov A.O., Tuzhilin A.A. In: ArXiv e-prints, arXiv:1907.09942 ISTINA record
  41. 2019 The Gromov-Hausdorff Distances between Simplexes and Ultrametric Spaces Ivanov A.O., Tuzhilin A.A. In: ArXiv e-prints: arXiv:1907.03828 ISTINA record
  42. 2018 Analytical deformations of minimal networks Ivanov A.O., Tuzhilin A.A. In: Fundamental and Applied Mathematics, published by KnoRus Publishing House (Moscow), vol. 21, no. 5, pp. 159–180 ISTINA record
  43. 2018 Isometry Group of Gromov-Hausdorff Space Ivanov A.O., Tuzhilin A.A. In: ArXiv e-prints, no. arXiv:1806.02100 ISTINA record
  44. 2017 Analyzing the Data Bank of Proteins Space Structures (PDB): A Geometrical Approach Vilkul E.A., Ivanov A.O., Mishchenko A.S., Popelensky Th Yu, Tuzhilin A.A., Shaitan k.V. In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 225, no. 4, pp. 555–564 ISTINA record doi
  45. 2017 Computer models in geometry and dynamics Vedyushkina V.V., Ivanov A.O., Tuzhilin A.A., Fomenko A.T. In: Intelligent Systems. Theory and Applications, published by Intelligent Systems Publishing House (Moscow), vol. 21, no. 2 ISTINA record
  46. 2017 Fermat-Steiner Problem in the metric space of compact sets endowed with Hausdorff distance Ivanov A.O., Tropin A.M., Tuzhilin A.A. In: Journal of Geometry, published by Birkhauser Verlag (Switzerland), vol. 108, no. 2, pp. 575–590 ISTINA record doi
  47. 2017 Geometry of Gromov-Hausdorff metric space Ivanov A., Tuzhilin A. In: Bulletin de l'Académie Internationale CONCORDE, no. 3, pp. 47–57 ISTINA record
  48. 2017 In memory of Michel Deza Deza E.I., Chubarikov V.N., Chirsky V.G., Dobrovolsky N.M., Ivanov A.O., Golubeva E.I., Rebrova I.Yu., Dobrovolsky N.N. In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 18, no. 1, pp. 4–28 ISTINA record doi
  49. 2017 Local Structure of Gromov-Hausdorff Space Around Generic Finite Metric Spaces Ivanov A., Tuzhilin A. In: Lobachevskii Journal of Mathematics, published by Kazanskii Gosudarstvennyi Universitet/Kazan State University (Russian Federation), vol. 38, no. 6, pp. 998–1006 ISTINA record doi
  50. 2017 Local Structure of Gromov-Hausdorff Space, and Isometric Embeddings of Finite Metric Spaces into this Space Iliadis S., Ivanov A., Tuzhilin A. In: Topology and its Applications, published by Elsevier BV (Netherlands), vol. 221, pp. 393–398 ISTINA record doi
  51. 2017 Minimal Spanning Trees on Infinite Sets Ivanov A.O., Tuzhilin A.A. In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 223, no. 6, pp. 711–719 ISTINA record doi
  52. 2017 Steiner problem in Gromov–Hausdorff space: the case of finite metric spaces Ivanov A.O., Nikolaeva N.K., Tuzhilin A.A. In: Proceedings of the Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, published by Institute of Mathematics and Mechanics (Yekaterinburg), vol. 23, no. 4, pp. 152–161 ISTINA record doi
  53. 2016 Branched Coverings and Steiner Ratio Ivanov A.O., Tuzhilin A.A. In: International transactions in operational research : a journal of The International Federation of Operational Research Societies, published by Blackwell Publishers (Oxford, UK, England), vol. 23, pp. 875–882 ISTINA record doi
  54. 2016 Fermat-Steiner Problem in the Metric Space of Compact Sets endowed with Hausdorff Distance Alexandr Ivanov, Alexandr Tropin, Alexey Tuzhilin In: ArXiv e-prints, no. 1601.03852 ISTINA record
  55. 2016 Geometry of Compact Metric Space in Terms of Gromov-Hausdorff Distances to Regular Simplexes Ivanov Alexander O., Tuzhilin Alexey A. In: ArXiv e-prints, no. arXiv:1607.06655 ISTINA record
  56. 2016 Gromov-Hausdorff Distance, Irreducible Correspondences, Steiner Problem, and Minimal Fillings Alexandr Ivanov, Alexey Tuzhilin In: ArXiv e-prints, no. 1604.06116 ISTINA record
  57. 2016 Local Structure of Gromov-Hausdorff Space near Finite Metric Spaces in General Position Ivanov Alexander O., Alexey Tuzhilin In: ArXiv e-prints, no. 1611.04484, pp. 1–10 ISTINA record
  58. 2016 Local Structure of Gromov-Hausdorff Space, and Isometric Embeddings of Finite Metric Spaces into this Space Stavros Iliadis, Alexandr Ivanov, Alexey Tuzhilin In: ArXiv e-prints, no. 1604.07615 ISTINA record
  59. 2016 Realizations of Gromov-Hausdorff Distance Alexandr Ivanov, Stavros Iliadis, Alexey Tuzhilin In: ArXiv e-prints, no. 1603.08850 ISTINA record
  60. 2016 Steiner Problem in Gromov-Hausdorff Space: the Case of Finite Metric Spaces Alexandr Ivanov, Nadezhda Nikolaeva, Alexey Tuzhilin In: ArXiv e-prints, no. 1604.02170 ISTINA record
  61. 2016 Steiner Ratio and Steiner-Gromov Ratio of Gromov-Hausdorff Space Alexandr Ivanov, Alexey Tuzhilin In: ArXiv e-prints, no. 1605.01094 ISTINA record
  62. 2016 The Gromov-Hausdorff Metric on the Space of Compact Metric Spaces is Strictly Intrinsic Ivanov A.O., Nikolaeva N.K., Tuzhilin A.A. In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 100, no. 6, pp. 171–173 ISTINA record doi
  63. 2016 The Gromov–Hausdorff metric on the space of metric compacta is strictly internal Ivanov A.O., Nikolaeva N.K., Tuzhilin A.A. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 100, no. 6, pp. 947–950 ISTINA record doi
  64. 2015 Academician Anatoly Fomenko Zelikin M.I., Ivanov Alexander Olegovich, Kashin B.S., Mishchenko A.S., Nesterenko Yuri Valentinovich, Oshemkov A.A., Popelensky F.Yu., Sadovnichy V.A., Tuzhilin A.A., Chubarikov V.N., Shafarevich A.I., Shiryaev A.N. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 6, pp. 66–68 ISTINA record
  65. 2015 Analytic Deformations of Minimal Networks Ivanov A.O., Tuzhilin A.A. In: ArXiv e-prints, no. 1506:07140 ISTINA record
  66. 2015 Geometric approach to analysis of the Protein Data Bank (PDB) Vikul E.A., Ivanov A.O., Mishchenko A.S., Popelensky F.Yu., Tuzhilin A.A., Shaitan K.V. In: Fundamental and Applied Mathematics, published by KnoRus Publishing House (Moscow), vol. 20, no. 3, pp. 33–46 ISTINA record
  67. 2015 Hinge chain conformations as a model of protein folding Vilkul E.A., Ivanov A.O., Tuzhilin A.A. In: Nanostructures. Mathematical Physics and Modelling, vol. 13, no. 2, pp. 25–42 ISTINA record
  68. 2015 Minimum spanning trees on infinite sets Ivanov A.O., Tuzhilin A.A. In: Fundamental and Applied Mathematics, published by KnoRus Publishing House (Moscow), vol. 20, no. 2, pp. 89–103 ISTINA record
  69. 2015 The Gromov-Hausdorff Metric on the Space of Compact Metric Spaces is Strictly Intrinsic Alexandr Ivanov, Nadezhda Nikolaeva, Alexey Tuzhilin In: ArXiv e-prints, no. arXiv:1504.03830, 2015 ISTINA record
  70. 2014 Branched Coverings and Steiner Ratio Ivanov A.O., Tuzhilin A.A. In: ArXiv e-prints, no. arXiv:1412.5433 ISTINA record
  71. 2014 Du-Hwang Characteristic Area: Catch-22, Ivanov A.O., Tuzhilin A.A. In: ArXiv e-prints, no. 1402.6079 [math.MG] ISTINA record
  72. 2014 Geometry of amino acids and polypeptides Ivanov A.O., Mishchenko A.S., Tuzhilin A.A. In: Nanostructures. Mathematical Physics and Modelling, vol. 10, no. 1, pp. 49–75 ISTINA record
  73. 2014 Geometry of broken lines and polypeptides Ivanov A.O., Mishchenko A.S., Tuzhilin A.A. In: Nanostructures. Mathematical Physics and Modelling, vol. 10, no. 1, pp. 39–48 ISTINA record
  74. 2014 Minimal Spanning Trees on Infinite Sets Ivanov A.O., Tuzhilin A.A. In: ArXiv e-prints, no. 1403.3831 ISTINA record
  75. 2014 Stabilization of a locally minimal forest Ivanov A.O., Melnikova A.E., Tuzhilin A.A. In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 205, no. 3, pp. 1–32 ISTINA record doi
  76. 2014 Stabilization of a locally minimal forest Ivanov A.O., Melnikova A.E., Tuzhilin A.A. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 205, no. 3, pp. 83–118 ISTINA record doi
  77. 2013 Gromov minimal fillings for finite metric spaces Ivanov A.O., Alexey Tuzhilin In: PUBLICATIONS DE L’INSTITUT MATHÉMATIQUE Nouvelle série, vol. 94, pp. 3–15 ISTINA record doi
  78. 2013 International Conference ``Geometry, Topology, and Applications'' Edelsbrunner H., Garber A., Ivanov A.O., Musin O., Nevskii M. In: Modeling and Analysis of Information Systems, published by Yaroslavl State University (Yaroslavl), vol. 20, no. 6, pp. 95–102 ISTINA record
  79. 2012 Current Open Problems in Discrete and Computational Geometry Edelsbrunner H., Ivanov A.O., Karasev R.N. In: Modeling and Analysis of Information Systems, published by Yaroslavl State University (Yaroslavl), vol. 19, no. 5, pp. 5–17 ISTINA record
  80. 2012 Geometry of internal spanning trees for planar polygons Ivanov A.O., Tuzhilin A.A. In: Izvestiya: Mathematics, vol. 76, no. 2, pp. 3–36 ISTINA record doi
  81. 2012 Gromov's one-dimensional minimum filling problem Ivanov A.O., Tuzhilin A.A. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 203, no. 5, pp. 65–118 ISTINA record doi
  82. 2012 One-dimensional Gromov minimal filling problem Ivanov A.O., Tuzhilin A.A. In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 203, no. 5, pp. 677–726 ISTINA record doi
  83. 2012 One-dimensional minimal fillings with negative edge weights Ivanov A.O., Ovsyannikov Z.N., Strelkova N.P., Tuzhilin A.A. In: Moscow University Mathematics Bulletin, published by Allerton Press Inc. (United States), vol. 67, no. 5-6, pp. 189–194 ISTINA record doi
  84. 2012 One-dimensional minimal fillings with negative weight edges Ivanov A.O., Ovsyannikov Z.N., Strelkova N.P., Tuzhilin A.A. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 5, pp. 3–8 ISTINA record
  85. 2012 Structure of minimal Steiner trees in the vicinity of holes of their edges Ivanov A.O., Sedina O.A., Tuzhilin A.A. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 91, no. 3, pp. 353–370 ISTINA record doi
  86. 2012 The First Yaroslavl Summer School on Discrete and Computational Geometry Edelsbrunner H., Dolbilin N., Ivanov A.O., Musin O. In: Modeling and Analysis of Information Systems, published by Yaroslavl State University (Yaroslavl), vol. 19, no. 4, pp. 168–173 ISTINA record
  87. 2012 The geometry of inner spanning trees for planar polygons Ivanov A.O., Tuzhilin A.A. In: Izvestiya. Mathematics, published by American Mathematical Society (United States), vol. 76, no. 2, pp. 215–244 ISTINA record doi
  88. 2012 The Steiner ratio Gilbert-Pollak conjecture is still open Ivanov A.O., Tuzhilin A.A. In: Algorithmica (New York), published by Springer Verlag (Germany), vol. 62, no. 1-2, pp. 630–632 ISTINA record doi
  89. 2012 The structure of minimal Steiner trees in the neighborhoods of the lunes of their edges Ivanov A.O., S″edina O.A., Tuzhilin A.A. In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 91, no. 3, pp. 339–353 ISTINA record doi
  90. 2012 Yaroslavl International Conference on Discrete Geometry (dedicated to the centenary of A.D. Alexandrov) Edelsbrunner H., Dolbilin N.P., Ivanov A.O., Musin O.R., Nevskii M.V. In: Modeling and Analysis of Information Systems, published by Yaroslavl State University (Yaroslavl), vol. 19, no. 6, pp. 92–100 ISTINA record
  91. 2011 Computer modeling of curves and surfaces Ivanov A.O., Tuzhilin A.A., Fomenko A.T. In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 172, no. 5, pp. 663–689 ISTINA record doi
  92. 2011 One-dimensional Gromov minimal filling Ivanov A.O., Tuzhilin A.A. In: Electronic arXiv http://arxiv.org/abs/arXiv:1101.0106v2 ISTINA record
  93. 2011 One-dimensional minimal fillings with negative edge weights Ivanov A.O., Ovsyannikov Z.N., Strelkova N.P., Tuzhilin A.A. In: Electronic arXiv http://arxiv.org/abs/arXiv:1101.3014v1 ISTINA record
  94. 2011 Steiner Ratio for Manifolds Cieslik D., Ivanov A.O., Tuzhilin A.A. In: Electronic arXiv http://arxiv.org/abs/1101.3144 DOI ISTINA record doi
  95. 2011 The Length of a Minimal Tree With a Given Topology: generalization of Maxwell Formula Ivanov A.O., Tuzhilin A.A. In: Electronic arXiv http://arxiv.org/abs/1101.2117 DOI ISTINA record doi
  96. 2010 Generalized Maxwell formula for the length of a minimal tree with a given topology Ivanov A.O., Tuzhilin A.A. In: Moscow University Mathematics Bulletin, published by Allerton Press Inc. (United States), vol. 65, no. 3, pp. 100–106 ISTINA record doi
  97. 2010 Length of the minimum tree of a given topology: generalized Maxwell's formula Ivanov A.O., Tuzhilin A.A. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 3, pp. 7–14 ISTINA record
  98. 2009 Computer modeling of curves and surfaces Ivanov A.O., Tuzhilin A.A., Fomenko A.T. In: Fundamental and Applied Mathematics, published by KnoRus Publishing House (Moscow), vol. 15, no. 5, pp. 63–94 ISTINA record
  99. 2009 Geometric models in biology: how and what can be modeled, Bozhenko V.K., Ivanov A.O., Mishchenko A.S., Tuzhilin A.A., Shishkin A.M. In: Scientific Visualization, published by National Research Nuclear University MEPhI (Moscow), vol. 1, no. 1, pp. 66–99 ISTINA record
  100. 2009 Stabilization of locally minimal trees Ivanov A.O., Tuzhilin A.A. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 86, no. 4, pp. 512–524 ISTINA record doi
  101. 2009 Stabilization of locally minimal trees Ivanov A.O., Tuzhilin A.A. In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 86, no. 4, pp. 483–492 ISTINA record doi
  102. 2008 Immersed polygons and their diagonal triangulations Ivanov A.O., Tuzhilin A.A. In: Izvestiya: Mathematics, vol. 72, no. 1, pp. 67–98 ISTINA record doi
  103. 2008 Immersed polygons and their diagonal triangulations Ivanov A.O., Tuzhilin A.A. In: Izvestiya. Mathematics, published by American Mathematical Society (United States), vol. 72, no. 1, pp. 63–90 ISTINA record doi
  104. 2007 Geometry of space curves and applications to polymers conformations investigation Ivanov A.O., Mishchenko A.S., Tuzhilin A.A. In: Educational Internet-Journal "Computer Graphics & Geometry, vol. 9, no. 2, pp. 43–63 ISTINA record
  105. 2006 Uniqueness of a minimal Steiner tree for generic boundaries Ivanov A.O., Tuzhilin A.A. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 197, no. 9, pp. 55–90 ISTINA record doi
  106. 2006 Uniqueness of Steiner minimal trees on boundaries in general position Ivanov A.O., Tuzhilin A.A. In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 197, no. 9, pp. 1309–1340 ISTINA record doi
  107. 2005 Modeling the processes of cell proliferation control as a stage in the search for effective antitumor agents Ivanov A.O., Tuzhilin A.A., Bozhenko V.K., Shishkin A.M., Belle T.S. In: Vestnik RNTsRR, no. 4 ISTINA record
  108. 2005 Sets admitting connection by graphs of finite length Ivanov A.O., Nikonov I.M., Tuzhilin A.A. In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 196, no. 6, pp. 845–884 ISTINA record doi
  109. 2005 Sets that can be connected by graphs of finite length Ivanov A.O., Nikonov I.M., Tuzhilin A.A. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 196, no. 6, pp. 71–110 ISTINA record doi
  110. 2004 Non-trivial example of a boundary set in Generalized Steiner Problem constructed with the help of Computer Geometry and Visualization Ivanov A.O., Tuzhilin A.A. In: Educational Internet-Journal "Computer Graphics & Geometry, vol. 6, no. 1, pp. 75–99 ISTINA record
  111. 2003 Steiner Ratio for Manifolds Ivanov A.O., Tuzhilin A.A., Cieslik D. In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 74, no. 3, pp. 367–374 ISTINA record doi
  112. 2003 Steiner relation for manifolds Ivanov A.O., Tuzhilin A.A., Cislik D. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 74, no. 3, pp. 387–395 ISTINA record doi
  113. 2002 Branched geodesics in normed spaces Ivanov A.O., Tuzhilin A.A. In: Izvestiya: Mathematics, vol. 66, no. 5, pp. 33–82 ISTINA record doi
  114. 2002 Branching geodesics in normed spaces Ivanov A.O., Tuzhilin A.A. In: Izvestiya. Mathematics, published by American Mathematical Society (United States), vol. 66, no. 5, pp. 905–948 ISTINA record doi
  115. 2002 Melzack's algorithm in phylogenetic spaces Ivanov A.O., Tuzhilin A.A., Cislik D. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 3, pp. 22–28 ISTINA record
  116. 2001 Differential calculus on the space of minimal Steiner trees in Riemannian manifolds Ivanov A.O., Tuzhilin A.A. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 192, no. 6, pp. 31–50 ISTINA record doi
  117. 2001 Differential calculus on the space of Steiner minimal trees in Riemannian manifolds Ivanov A.O., Tuzhilin A.A. In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 192, no. 6, pp. 823–841 ISTINA record doi
  118. 2001 Extremal networks Ivanov Alexandr O., Tuzhilin Alexey A. In: Acta Applicandae Mathematicae, published by Springer Nature (Switzerland), vol. 66, no. 3, pp. 251–317 ISTINA record doi
  119. 2001 Extreme Networks Ivanov A.O., Tuzhilin A.A. In: Acta Applicandae Mathematicae, published by Springer Nature (Switzerland), vol. 66, no. 3, pp. 251–317 ISTINA record doi
  120. 2001 Linear networks and convex polyhedra Ivanov A.O., Tuzhilin A.A. In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 104, no. 4, pp. 1283–1288 ISTINA record doi
  121. 2001 Low Dimensional Geometrical Variational Problems in Large Fomenko A.T., Ivanov A.O., Tuzhilin A.A. In: Educational Internet-Journal "Computer Graphics & Geometry, vol. 3, no. 2, pp. 1–24 ISTINA record
  122. 2001 Nontrivial critical networks. Singularities of Lagrangians and a criterion for criticality Ivanov A.O., Hong Van Le, Tuzhilin A.A. In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 69, no. 4, pp. 514–526 ISTINA record doi
  123. 2001 Nontrivial critical networks. Singularities of Lagrangians and criticality criterion Ivanov A.O., Hong Van Le, Tuzhilin A.A. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 69, no. 4, pp. 566–580 ISTINA record doi
  124. 2000 Steiner ratio for Riemannian manifolds Ivanov A.O., Tuzhilin A.A., Cieslik D. In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 55, no. 6, pp. 1150–1151 ISTINA record doi
  125. 2000 Steiner relation for Riemannian manifolds Ivanov A.O., Tuzhilin A.A., Cislik D. In: Russian Mathematical Surveys, published by Nauka Publishing House (Moscow), vol. 55, no. 6, pp. 139–140 ISTINA record doi
  126. 1999 Geometry of convex polygons and locally minimal binary trees enclosing them Ivanov A.O., Tuzhilin A.A. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 190, no. 1, pp. 69–108 ISTINA record doi
  127. 1999 Geometry of convex polygons and locally minimal binary trees spanning these polygons Ivanov A.O., Tuzhilin A.A. In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 190, no. 1, pp. 71–110 ISTINA record doi
  128. 1999 Planar Manhattan Local Minimal And Critical Networks Ivanov A.O., Hong Van Le, Tuzhilin A.A. In: Educational Internet-Journal "Computer Graphics & Geometry, vol. 1, no. 1, pp. 25–49 ISTINA record
  129. 1999 Space of mutually parallel linear networks with a fixed boundary Ivanov A.O., Tuzhilin A.A. In: Izvestiya: Mathematics, vol. 63, no. 5, pp. 83–126 ISTINA record doi
  130. 1999 The space of parallel linear networks with a fixed boundary Ivanov A.O., Tuzhilin A.A. In: Izvestiya. Mathematics, published by American Mathematical Society (United States), vol. 63, no. 5, pp. 923–962 ISTINA record doi
  131. 1998 Geometry of plane trees with straight edges Ivanov A.O., Tuzhilin A.A. In: Moscow University Bulletin, published by Editorial Board of the Journal (Moscow) ISTINA record
  132. 1997 Geometry and topology of local minimal 2-trees Ivanov A.O., Tuzhilin A.A. In: Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society, vol. 28, no. 1, pp. 103–139 ISTINA record doi
  133. 1997 Geometry of a set of minimal networks of a given topology with a fixed boundary Ivanov A.O., Tuzhilin A.A. In: Izvestiya: Mathematics, vol. 61, no. 6, pp. 119–152 ISTINA record doi
  134. 1997 The geometry of minimal networks with a given topology and a fixed boundary Ivanov A.O., Tuzhilin A.A. In: Izvestiya. Mathematics, published by American Mathematical Society (United States), vol. 61, no. 6, pp. 1231–1263 ISTINA record doi
  135. 1996 Classification of minimal skeletons with regular boundary Ivanov A.O., Tuzhilin A.A. In: Russian Mathematical Surveys, published by Nauka Publishing House (Moscow), vol. 51, no. 4, pp. 157–158 ISTINA record doi
  136. 1996 Flat weighted minimal binary trees Ivanov A.O. In: Fundamental and Applied Mathematics, published by KnoRus Publishing House (Moscow), vol. 2, no. 2, pp. 375–409 ISTINA record
  137. 1996 Geometry of plane linear trees Ivanov A.O., Tuzhilin A.A. In: Russian Mathematical Surveys, published by Nauka Publishing House (Moscow), vol. 51, no. 2, pp. 161–162 ISTINA record doi
  138. 1996 Minimal weighted planar binary trees Ivanov A.O. In: Fundam. Prikl. Mat, vol. 2, no. 2, pp. 375–409 ISTINA record
  139. 1996 On minimal binary trees with a regular boundary Ivanov A.O., Tuzhilin A.A. In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 51, no. 1, pp. 144–145 ISTINA record doi
  140. 1996 On minimal binary trees with regular boundary Ivanov A.O., Tuzhilin A.A. In: Russian Mathematical Surveys, published by Nauka Publishing House (Moscow), vol. 51, no. 1, pp. 139–140 ISTINA record doi
  141. 1996 Rotation number of plane linear trees Ivanov A.O., Tuzhilin A.A. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 187, no. 8, pp. 41–92 ISTINA record doi
  142. 1996 Structure of a set of flat minimal networks with given topology and boundary Ivanov A.O., Tuzhilin A.A. In: Russian Mathematical Surveys, published by Nauka Publishing House (Moscow), vol. 51, no. 3, pp. 201–202 ISTINA record doi
  143. 1996 Structure of the set of planar minimal networks with given topology and boundary Ivanov A.O., Tuzhilin A.A. In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 51, no. 3, pp. 553–554 ISTINA record doi
  144. 1996 The classification of minimal skeletons with a regular boundary Ivanov A.O., Tuzhilin A.A. In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 51, no. 4, pp. 734–735 ISTINA record doi
  145. 1996 The geometry of plane linear trees Ivanov A.O., Tuzhilin A.A. In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 51, no. 2, pp. 329–330 ISTINA record doi
  146. 1996 The twist number of planar linear trees Ivanov A.O., Tuzhilin A.A. In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 187, no. 8, pp. 1149–1195 ISTINA record doi
  147. 1995 Geometry of flat locally minimal binary trees Ivanov A.O. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 186, no. 9, pp. 45–76 ISTINA record
  148. 1995 The geometry of plane locally minimal binary trees Ivanov A.O. In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 186, no. 9, pp. 1271–1301 ISTINA record doi
  149. 1995 Weighted minimal binary trees Ivanov A.O., Tuzhilin A.A. In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 50, no. 3, pp. 623–624 ISTINA record doi
  150. 1995 Weighted minimal binary trees Ivanov A.O., Tuzhilin A.A. In: Russian Mathematical Surveys, published by Nauka Publishing House (Moscow), vol. 50, no. 3, pp. 155–156 ISTINA record
  151. 1994 Classification of closed minimal networks on flat two-dimensional tori Ivanov A.O., Ptitsyna I.V., Tuzhilin A.A. In: Russian Academy of Sciences. Sbornik. Mathematics, vol. 77, no. 2, pp. 391–425 ISTINA record doi
  152. 1994 Some problems concerning minimal networks Ivanov A.O., Tuzhilin A.A. In: International Journal of Shape Modeling, published by World Scientific Publishing Co (Singapore), vol. 1, no. 1, pp. 81–107 ISTINA record
  153. 1994 Topologies of locally minimal flat binary trees Ivanov A.O., Tuzhilin A.A. In: Russian Mathematical Surveys, published by Nauka Publishing House (Moscow), vol. 49, no. 6, pp. 191–192 ISTINA record
  154. 1994 Topologies of locally minimal planar binary trees Ivanov A.O., Tuzhilin A.A. In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 49, no. 6, pp. 201–202 ISTINA record doi
  155. 1993 Minimal networks on regular polygons: implementation of linear parquets Ivanov A.O., Iskhakov I.V., Tuzhilin A.A. In: Moscow University Bulletin, published by Editorial Board of the Journal (Moscow), no. 6, pp. 77–81 ISTINA record
  156. 1993 The Steiner problem in the plane or in plane minimal nets Ivanov A.O., Tuzhilin A.A. In: Mathematics of the USSR - Izvestiya, vol. 74, no. 2, pp. 555–582 ISTINA record doi
  157. 1992 Calibration forms and new examples of stable and globally minimal surfaces Ivanov A.O. In: Mathematics of the USSR - Izvestiya, vol. 71, no. 2, pp. 289–308 ISTINA record doi
  158. 1992 Classification of closed minimal networks on flat two-dimensional tori Ivanov A.O., Ptitsyna I.V., Tuzhilin A.A. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 183, no. 12, pp. 3–44 ISTINA record
  159. 1992 Geometry of minimal networks and the one-dimensional Plateau problem Ivanov A.O., Tuzhilin A.A. In: Russian Mathematical Surveys, published by Nauka Publishing House (Moscow), vol. 47, no. 2, pp. 53–115 ISTINA record
  160. 1992 Geometry of minimal networks and the one-dimensional Plateau problem Ivanov A.O., Tuzhilin A.A. In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 47, no. 2, pp. 59–131 ISTINA record doi
  161. 1991 Steiner problem on the plane or planar minimal networks Ivanov A.O., Tuzhilin A.A. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 182, no. 12, pp. 1813–1844 ISTINA record
  162. 1990 Computer calculations in geometric CAD problems Ivanov A.O., Trofimov V.V., Tuzhilin A.A., Fomenko A.T. In: Proceedings of the Seminar on Vector and Tensor Analysis, vol. 24, pp. 70–80 ISTINA record
  163. 1990 Forms of gauge and new examples of stable and globally minimal surfaces Ivanov A.O. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 181, no. 11, pp. 1443–1463 ISTINA record
  164. 1990 Solution of the Steiner problem for convex boundaries Ivanov A.O., Tuzhilin A.A. In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 45, no. 2, pp. 214–215 ISTINA record doi
  165. 1990 Solution of the Steiner problem for convex boundaries Ivanov A.O., Tuzhilin A.A. In: Russian Mathematical Surveys, published by Nauka Publishing House (Moscow), vol. 45, no. 2, pp. 207–208 ISTINA record
  166. 1989 On the deformation of a manifold, reducing the volume with maximum speed Ivanov A.O., Tuzhilin A.A. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 3, pp. 14–18 ISTINA record

Book chapters and collected papers

21 records

  1. 2021 Dual Linear Programming Problem and One-Dimensional Gromov Minimal Fillings of Finite Metric Spaces Ivanov A.O., Tuzhilin A.A. In Trends in Mathematics, Springer International Publishing AG (Cham, Switzerland), p. 165-182 ISTINA record doi
  2. 2016 Minimal Networks: A Review Ivanov A.O., Tuzhilin A.A. In Advances in Dynamical Systems and Control, Studies in Systems, Decision and Control series, Springer Switzerland, vol. 69, p. 43-80 ISTINA record doi
  3. 2015 Critical Analysis of Amino Acids and Polypeptides Geometry Ivanov Alexander O., Mishchenko Alexander S., Tuzhilin Alexey A. In Continuous and Distributed Systems: Theory and Applications, Springer, vol. 2, p. 29-74 ISTINA record
  4. 2014 Minimal fillings of finite metric spaces: The state of the art Ivanov A.O., Tuzhilin A.A. In Discrete Geometry and Algebraic Combinatorics, Contemporary Mathematics Series, AMS Press (United States), vol. 625, p. 9-35 ISTINA record doi
  5. 2014 Minimal networks. Review of results Ivanov A.O., Tuzhilin A.A. In: A.A. Tuzhilin, A.T. Fomenko, “Elements of geometry and topology of minimal surfaces”, Edition 2e, series Classic textbook of Moscow State University, published in LENAND Moscow, p. 172-240 ISTINA record
  6. 2013 Optimal networks Ivanov A.O., Tuzhilin A.A. In: First Yaroslavl Summer School on Discrete and Computational Geometry, series Delaunay Library, published in: Yaroslavl State University named after Demidov Yaroslavl, vol. 1, p. 60-110 ISTINA record
  7. 2011 Determination of Different Biological Factors on the Base of Dried Blood Spot Technology Bozhenko V.K., Ivanov A.O., Mishchenko A.S., Tuzhilin A.A., Shishkin A.M. In arXiv.1112.3899v2[hep-th], Series arxive "math", publication Cornell University, Ithaca N.Y., United States Ithaca N.Y., USA, vol. 1112 ISTINA record
  8. 2011 Minimal fillings of pseudometric spaces Ivanov A.O., Tuzhilin A.A., Eremin A.Yu., Erokhovets E.S., Ovsyannikov Z.N., Pakhomova A.S., Rubleva O.V., Strelkova N.P., Filonenko E.I. In: Proceedings of the Seminar on Vector and Tensor Analysis with their applications to geometry, mechanics and physics, published in: Faculty of Mechanics and Mathematics, Moscow State University Moscow, vol. 27, p. 83-105 ISTINA record
  9. 2009 Geometric modeling in biology: search for possible approaches Bozhenko V.K., Ivanov A.O., Mishchenko A.S., Tuzhilin A.A., Shishkin A.M. In: Collection of articles for the anniversary of V.A. Sadovnichy ISTINA record
  10. 2009 Optimal connection problem Ivanov A.O., Tuzhilin A.A. In: Collection of articles for the anniversary of V.A. Sadovnichy ISTINA record
  11. 2005 Geometry of trees of finite length in metric spaces Ivanov A.O., Nikonov I.M., Tuzhilin A.A. In: Proceedings of the Seminar on Vector and Tensor Analysis, published in of Moscow State University Moscow, vol. 26, p. 178-200 ISTINA record
  12. 2003 Visual Topology and Variational Problems on Two-Dimensional Surfaces Fomenko A.T., Ivanov A.O., Tuzhilin A.A. In: Mathematics and Culture. II. Visual Parfection: Mathematics and Creativity, Springer Verlag (Germany), p. 99-123 ISTINA record
  13. 2002 Steiner's relation. Current state Ivanov A.O., Tuzhilin A.A. In: Mathematical issues of cybernetics, series Mathematical issues of cybernetics, published in M.: Fizmatlit, vol. 11, p. 27-48 ISTINA record
  14. 1998 A sufficient condition for the stability of symmetric cones of any codimension in Euclidean space $\bf R^N$ Ivanov A.O. In Tensor and vector analysis, Gordon and Breach Amsterdam, p. 87-100 ISTINA record
  15. 1998 Linear networks and convex polyhedra Ivanov A.O., Tuzhilin A.A. In: Geometry and Topology. 3, series Zap. scientific family POMI, published in POMI St. Petersburg, vol. 252, p. 52-61 ISTINA record
  16. 1993 Calibration forms and new examples of globally minimal surfaces Ivanov A.O. In: Minimal surfaces, series Adv. Soviet Math, published in Amer. Math. Soc Providence, RI, vol. 15, p. 235-267 ISTINA record
  17. 1993 The Steiner problem for convex boundaries, general case Ivanov A.O., Tuzhilin A.A. In: Minimal surfaces, series Advances in Soviet Mathematics, publishing place Amer. Math. Soc Providence, RI, vol. 15, p. 15-92 ISTINA record
  18. 1993 The Steiner problem for convex boundaries. II. The regular case Ivanov A.O., Tuzhilin A.A. In: Minimal surfaces, series Advances in Soviet Mathematics, publishing place Amer. Math. Soc Providence, RI, vol. 15, p. 93-131 ISTINA record
  19. 1992 Algorithmic problems of the calculus of variations. Steiner's problem and minimal networks on planes and surfaces Ivanov A.O., Tuzhilin A.A. In: Handbook of Discrete Mathematics ISTINA record
  20. 1992 Classification of closed minimal networks on flat two-dimensional tori Ivanov A.O., Ptitsyna I.V., Tuzhilin A.A. In: Selected questions of algebra, geometry and discrete mathematics, published in of Moscow State University Moscow, p. 47-53 ISTINA record
  21. 1985 Globally minimal symmetric surfaces in a Euclidean space Ivanov A.O. In: Geometry, differential equations and mechanics, published in Moskov. Gos. Univ. Mekh.-Mat. Fak Moscow, p. 69-71 ISTINA record

Books, textbooks and preprints

13 records

  1. 2024 Computer Geometry: Practical Course. Edition 2, revised and expanded Ivanov A.O., Ilyutko D.P., Nosovsky G.V., Tuzhilin A.A., Fomenko A.T. URSS, LENNAND Moscow, ISBN 978-5-9519-4804-5, 384 pp. ISTINA record
  2. 2023 Computer Geometry: Practical Course Ivanov A.O., Ilyutko D.P., Nosovsky G.V., Tuzhilin A.A., Fomenko A.T. URSS Moscow, ISBN 978-5-9710-9647-4, 376 pp. ISTINA record
  3. 2021 Introduction to Computer Geometry Emelyanov D.Yu., Ivanov A.O., Popelensky F.Yu. Publishing house of the Board of Trustees of the Faculty of Mechanics and Mathematics of Moscow State University Moscow, ISBN 978-5-9500628-6-5, 170 pp. ISTINA record
  4. 2018 Geometric measure theory, part 1 Ivanov A.O., Tuzhilin A.A. Publishing house of the Board of Trustees of the Faculty of Mechanics and Mathematics of Moscow State University Moscow, ISBN 978-5-9500628-0-3, 165 pp. ISTINA record
  5. 2018 Steiner's problem: a geometric measure theory approach Ivanov A.O., Tuzhilin A.A. Publishing house of the Board of Trustees of the Faculty of Mechanics and Mathematics of Moscow State University Moscow, ISBN 978-5-9500628-2-7, 116 pp. ISTINA record
  6. 2017 Geometry of Hausdorff and Gromov-Hausdorff distances: the case of compacta Ivanov Alexander Olegovich, Tuzhilin A.A. Publishing house of the Board of Trustees of the Faculty of Mechanics and Mathematics of Moscow State University Moscow, ISBN 978-5-9500628-1-0, 111 pp. ISTINA record
  7. 2010 Computer Geometry. Practical Course Ivanov A.O., Ilyutko D.P., Nosovsky G.V., Tuzhilin A.A., Fomenko A.T. Internet University of Information Technology Moscow, ISBN 978-5-9556-0117-5, 391 pp. ISTINA record
  8. 2009 Lectures on classical differential geometry Ivanov A.O., Tuzhilin A.A. University book, Logos Moscow, ISBN 978-5-98704-301-8, 224 pp. ISTINA record
  9. 2003 Extreme Network Theory Ivanov A.O., Tuzhilin A.A. Regular and chaotic dynamics Moscow-Izhevsk: Institute for Computer Research, ISBN 5-93972-292-X, 424 pp. ISTINA record
  10. 2001 Branching solutions to one-dimensional variational problems Ivanov A.O., Tuzhilin A.A. World Scientific Publishing Co. Inc River Edge, NJ, ISBN 981-02-4060-0, 364 p. ISTINA record doi
  11. 1999 Branched geodesics. Geometric theory of locally minimal networks Ivanov A.O., Tuzhilin A.A. Lewiston, Queenston, Lampeter: The Edwin Mellen Press ISTINA record
  12. 1997 Planar Local Minimal Binary Trees with Convex, Quasiregular, and Regular Boundaries (Preprint) Ivanov A.O., Tuzhilin A.A. Sonderforschungsbereich 256 Rheinische Friedrich-Wilhelms-Universität Bonn, 73 p. ISTINA record
  13. 1994 Minimal networks: The Steiner problem and its generalizations Ivanov Alexandr O., Tuzhilin Alexei A. CRC Press Boca Raton, FL, ISBN 0-8493-8642-X, 442 pp. ISTINA record

Conference abstracts

6 records

  1. 2016 Fermat-Steiner Problem in the Metric Space of Compact Sets Ivanov A.O. In: 4th International Workshop ``Analysis, Geometry, and Probability'', Book of Abstracts, published by Lomonosov Moscow State University Press/Publishing House of Moscow State University (Russian Federation), abstracts, p. 8-9 ISTINA record
  2. 2010 Minimal fillings in the sense of M.Gromov for finite metric spaces Ivanov A.O., Tuzhilin A.A. In: International Conference “Metric Geometry of surfaces and polyhedra” dedicated to the 100th anniversary of N.V.Efimov, abstracts ISTINA record
  3. 2010 One-dimensional branched minimal fillings of finite metric spaces Ivanov A.O., Tuzhilin A.A. In: 2010 International conference on topology and its applications, June 26-30, published in Nafpaktos, Greece, abstracts ISTINA record
  4. 2004 Using adaptive discrete dynamic maps of gene-protein networks to search for critical factors controlling cell proliferation Ivanov A.O., Tuzhilin A.A., Bozhenko V.K., Shishkin A.M., Belle T.S. In: of the 3rd Congress of CIS Oncologists, abstracts ISTINA record
  5. 2002 Minimal trees in phylogenetic spaces Ivanov A.O., Tuzhilin A.A. In: Proceedings of the Third International Conference on Bioinformatics of Genome Regulation and Structure, published in Novosibirsk, abstracts ISTINA record
  6. 1987 On the deformation of a manifold, reducing the volume with maximum speed, and its application in the theory of gravity Ivanov A.O., Tuzhilin A.A. In: All-Union Conference on Geometry “in General”, abstracts, p. 50-50 ISTINA record

Conference talks

23 records

  1. 2026 Convex polyhedron of minimal fillings of a finite metric space Ivanov A.O. Homogeneous spaces, topology and mathematics education. Conference dedicated to the 90th anniversary of the birth of O. V. Manturov, Russia, July 1-5, 2026
  2. 2026 Minimal fillings of finite metric spaces Ivanov A.O. XXIII Geometrical Seminar, Zlatibor, Serbia, Serbia, August 30 - September 5, 2026
  3. 2026 Minimal fillings of finite metric spaces and convex polyhedra Ivanov Alexander Olegovich Sirius 2026. 067w: Asymptotic, geometric and qualitative methods in application to mechanics and mathematical physics, Sirius University, Sochi, Russia, April 13-17, 2026
  4. 2025 Isometric Embeddings into Rectilinear Space and Gromov-Hausdorff Distances Ivanov A.O. International scientific conference "Infinite-dimensional analysis and mathematical physics" 2025 (IDAMPh 2025), Porkhov, Pskov region, Russia, January 25-31, 2025
  5. 2025 Mathematics Development and International Cooperation and Exchange Ivanov A.O. The 23rd Conference on International Exchange of Professionals, Shanghai, Beijing, China, October 20-24, 2025
  6. 2025 Minimal fillings of finite metric spaces Ivanov A.O. IX International Youth Scientific School-Conference “Current directions of mathematical analysis and related issues”, Voronezh, Russia, November 10-11, 2025
  7. 2024 Minimal fillings of finite metric spaces and convex polyhedra Ivanov A.O., Shcherbakov O.S. International Conference on Differential Equations and Dynamical Systems 2024, Suzdal, Vladimir region, Russia, June 28 - July 4, 2024
  8. 2021 Action of a similarity group on a family of clouds of its own Gromov-Hausdorff class Tuzhilin A.A., Bogaty S.A., Ivanov A.O. December readings in Tomsk - 2021, Tomsk State University, Russia, December 6-11, 2021
  9. 2021 Extendability of Metric Segments in Gromov--Hausdorff Distance Ivanov A.O., Tuzhilin A.A. International conference on topology and its applications, dedicated to the 100th anniversary of the birth of Yu.M. Smirnova, Faculty of Mechanics and Mathematics of Moscow State University, Russia, September 20-22, 2021
  10. 2020 Geometrical and Statistical Methods for Dimension Estimate in Data Analysis Ivanov Alexander Olegovich, Nosovsky G.V., Fedoseev D.A. Aleksandrovich, Kibkalo V.A., Chekunov A.Yu., Nikulin Mikhail, Popelensky F.Yu. “Lake Baikal” Online Summit 2020, Fundamental Research of Future Information, Moscow, Huawei Russian Research Institute, Russia, December 21-22, 2020
  11. 2020 Geometrical approach to Manifold Conjecture Ivanov A.O., Popelensky F.Yu., Nikulin Mikhail "Industrial Video Intelligence Summit & Machine Learning Workshop 2020" Huawei Moscow Research Center, Russia, November 17-19, 2020
  12. 2019 Optimal Connections Problems and Geometry of Hausdorff and Gromov-Hausdorff Distances Ivanov Alexander Olegovich The 2nd International Undergraduate Mathematics Summer School, Tokyo, 07.29-08.07.2019, Tokyo, Japan, July 29 - August 7, 2019
  13. 2016 Computer models in geometry and dynamics Fomenko A.T., Ivanov A.O. XI International Conference "Intelligent Systems and Computer Science", Faculty of Mechanics and Mathematics of M.V. Lomonosov Moscow State University, Russia, November 28 - December 2, 2016
  14. 2016 Fermat-Sreiner Problem in Metric Specs of Compact Sets Ivanov A.O. 4th International Workshop on Analysis, Probability and Geometry, Moscow, Russia, September 26 - October 1, 2016
  15. 2015 Mathematics and Visualization Ivanov Alexander Olegovich International conference "Mathematics in the life of society: achievements, problems, prospects", Moscow State University named after M.V. Lomonosov, Lomonosov building, Russia, April 23-25, 2015
  16. 2014 Minimal filings of finite metric spaces Ivanov A.O. International Workshop "Probability, Analysis and Geometry", Moscow State University, Moscow, Russia, 2014
  17. 2014 Networks and Distances (Networks of Extreme Length) Ivanov Alexander Olegovich Many Faces of Distances Workshop, UNICAMP, Campinas - SP, Brazil, UNICAMP, Campinas - SP, Brazil, Brazil, 2014
  18. 2014 Optimal Networks: applications to different networks models Tuzhilin A.A., Ivanov A.O. Application of mathematical methods in Earth sciences, Moscow State University, Faculty of Mechanics and Mathematics, Russia, November 17-19, 2014
  19. 2013 Probabilities of Optimal Networks Structures Ivanov A.O. Conference on Discrete Geometry and Algebraic Combinatorics, University of Texas at Brownsville, Texas, USA, 2013
  20. 2012 Inner Spanning Trees Geometry for Planar Polygons Ivanov A.O. Conference on Discrete Geometry and Algebraic Combinatorics, Brownswille, TX, USA, 2012
  21. 2012 Minimal fillings of finite metric spaces Ivanov A.O., Tuzhilin A.A. International topological conference "Alexandroff readings", Moscow, Russia, 2012
  22. 2010 Minimal fillings in the sense of M.Gromov for finite metric spaces Tuzhilin A.A., Ivanov A.O. International Conference “Metric Geometry of surfaces and polyhedra” dedicated to 100th anniversary of N.V.Efimov, Moscow, Russia, 2010
  23. 2010 One-dimensional branched minimal fillings of finite metric spaces Tuzhilin A.A., Ivanov A.O. 2010 International Conference on Topology and its Applications, June 26-30, Nafpaktos, Greece, Greece, 2010