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Denis P. Ilyutko

Full list of publications: department page and ISTINA profile (IRID 1488078)

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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 125 bibliographic records: 50 journal articles, 12 book chapters and collected papers, 15 books, textbooks and preprints, 13 conference abstracts, 35 conference talks.

Journal articles

50 records

  1. 2026 Khovanov homology, uncoupling operation and some classification of oriented graph-links Ilyutko D.P., Nikonov I.M. In: Proceedings of the Institute of Mathematics and Mechanics, vol. 52, no. 1, pp. 137–156 ISTINA record doi
  2. 2025 Linking number for graph-links and some classification of graph-links Ilyutko D.P., Maslennikova Vasilisa A. In: Journal of Knot Theory and its Ramifications, published by World Scientific Publishing Co (Singapore), vol. 34, no. 14, pp. 2540001–1-2540001-23 ISTINA record doi
  3. 2025 The Cycle Space of the Graph of Circles for a Resolution of a Generalized Cross Graph Ilyutko D.P., Protasov E.A. In: Lobachevskii Journal of Mathematics, published by Kazanskii Gosudarstvennyi Universitet/Kazan State University (Russian Federation), vol. 46, no. 3, pp. 1076–1086 ISTINA record doi
  4. 2022 A criterion for the cyclicity of a generalized cross graph using minimal forbidden minors Ilyutko V.P., Ilyutko D.P. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 213, no. 12, pp. 3–17 ISTINA record doi
  5. 2022 On the local and boundary behavior of inverse mappings on Riemannian manifolds Ilyutko D.P., Sevostyanov E.A. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 213, no. 1, pp. 46–68 ISTINA record doi
  6. 2022 On the local and boundary behaviour of inverse maps on Riemannian manifolds Ilyutko D.P., Sevost’yanov E.A. In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 213, no. 1, pp. 42–62 ISTINA record doi
  7. 2022 Weight Systems of Framed Chord Diagrams Corresponding to Lie Algebras Ilyutko D.P., Nikonov I.M. In: Moscow University Mathematics Bulletin, published by Allerton Press Inc. (United States), vol. 77, no. 6, pp. 290–295 ISTINA record doi
  8. 2022 Weighted systems of framed chord diagrams corresponding to Lie algebras Ilyutko D.P., Nikonov I.M. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 6, pp. 60–64 ISTINA record
  9. 2021 Behavior of a graph's binary rank when adding vertices and edges Bezgodova S.Yu., Ilyutko D.P. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 6, pp. 21–26 ISTINA record
  10. 2020 An invariant of graph-links valued in graphs and an almost classification of graph-links Ilyutko D.P., Manturov V.O. In: Journal of Knot Theory and its Ramifications, published by World Scientific Publishing Co (Singapore), vol. 29, no. 9, pp. 2050063–1-2050063-32 ISTINA record doi
  11. 2020 Boundary behaviour of open discrete mappings on Riemannian manifolds. II Ilyutko D.P., Sevost’yanov E.A. In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 211, no. 4, pp. 539–582 ISTINA record doi
  12. 2020 On the boundary behavior of open discrete mappings on Riemannian manifolds. II Ilyutko D.P., Sevostyanov E.A. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 211, no. 4, pp. 63–111 ISTINA record doi
  13. 2020 On the Equicontinuity of Families of Inverse Mappings of Riemannian Manifolds Ilyutko D.P., Sevost’yanov E.A. In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 246, no. 5, pp. 664–670 ISTINA record doi
  14. 2020 Picture-valued parity-biquandle bracket Ilyutko D.P., Manturov V.O. In: Journal of Knot Theory and its Ramifications, published by World Scientific Publishing Co (Singapore), vol. 29, no. 2, pp. 2040004–1-2040004-22 ISTINA record doi
  15. 2020 Removal of Isolated Singularities of Generalized Quasiisometries on Riemannian Manifolds Ilyutko D.P., Sevostyanov E.A. In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 250, pp. 611–621 ISTINA record doi
  16. 2019 On equicontinuity of families of inverse mappings of Riemannian manifolds Ilyutko D.P., Sevostyanov E.A. In: Ukrainian Mathematical Bulletin, vol. 16, no. 4, pp. 557–566 ISTINA record
  17. 2019 On prime ends on Riemannian manifolds Ilyutko D.P., Sevost’yanov Evgeny A. In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 241, no. 47, pp. 1–17 ISTINA record doi
  18. 2018 Boundary behaviour of open discrete mappings on Riemannian manifolds Ilyutko D.P., Sevost'yanov E.A. In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 209, no. 5, pp. 605–651 ISTINA record doi
  19. 2018 Diagrammatic approach in knot theory and its applications in graph theory Ilyutko D.P., Nikonov I.M. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 3, pp. 65–71 ISTINA record
  20. 2018 On simple ends on Riemannian manifolds Ilyutko D.P., Sevostyanov E.A. In: Ukrainian Mathematical Bulletin, vol. 15, no. 3, pp. 358–382 ISTINA record
  21. 2018 On the boundary behavior of open discrete mappings on Riemannian manifolds Ilyutko D.P., Sevostyanov E.A. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 209, no. 5, pp. 3–53 ISTINA record doi
  22. 2018 The Diagram Approach in Knot Theory and Applications to Graph Theory Ilyutko D.P., Nikonov I.M. In: Moscow University Mathematics Bulletin, published by Allerton Press Inc. (United States), vol. 73, no. 3, pp. 124–130 ISTINA record doi
  23. 2017 2-colored diagrams of knots Ilyutko D.P., Trofimova Anastasia Dmitrievna In: Lobachevskii Journal of Mathematics, published by Kazanskii Gosudarstvennyi Universitet/Kazan State University (Russian Federation), vol. 38, no. 6, pp. 987–997 ISTINA record
  24. 2017 2-coloured diagrams of knots Ilyutko D.P., Trofimova A.D. In: Lobachevskii Journal of Mathematics, vol. 38, no. 6, pp. 987–997
  25. 2017 Elimination of isolated singularities of generalized quasi-isometries on Riemannian manifolds Ilyutko D.P., Sevostyanov E.A. In: Contemporary Mathematics. Fundamental Directions, published by RUDN University (Peoples' Friendship University of Russia) (Moscow), vol. 63, no. 2, pp. 266–277 ISTINA record
  26. 2017 Extremal networks in λ-geometry, where λ=3,4,6 Ilyutko D.P., Nikonov I.M. In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 208, no. 4, pp. 479–509 ISTINA record doi
  27. 2017 Extremal networks on the λ-normed plane, where λ=3,4,6 Ilyutko D.P., Nikonov I.M. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 208, no. 4, pp. 17–50 ISTINA record doi
  28. 2016 Graph-Links: Nonrealizability, Orientation, and Jones Polynomial Ilyutko D.P., Safina V.S. In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 214, no. 5, pp. 632–664 ISTINA record doi
  29. 2016 On open discrete mappings with unbounded characteristic on Riemannian manifolds Ilyutko D.P., Sevostyanov E.A. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 207, no. 4, pp. 65–112 ISTINA record doi
  30. 2016 Open discrete mappings with unbounded coefficient of quasi-conformality on Riemannian manifolds Il'yutko D.P., Sevost'yanov E.A. In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 207, no. 4, pp. 537–580 ISTINA record doi
  31. 2016 The Length of an Extremal Network in a Normed Space: Maxwell Formula Bannikova A.G., Ilyutko D.P., Nikonov I.M. In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 214, no. 5, pp. 593–608 ISTINA record doi
  32. 2015 A parity map of framed chord diagrams Denis Petrovich Ilyutko, Vassily Olegovich Manturov In: Journal of Knot Theory and its Ramifications, published by World Scientific Publishing Co (Singapore), vol. 24, no. 13 ISTINA record doi
  33. 2015 On local properties of one class of mappings on Riemannian manifolds Ilyutko D.P., Sevost’yanov Evgenii A. In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 211, no. 5, pp. 660–667 ISTINA record doi
  34. 2015 On local properties of one class of mappings on Riemannian manifolds Ilyutko D.P., Sevostyanov E.A. In: Ukrainian Mathematical Bulletin, vol. 12, no. 2, pp. 210–221 ISTINA record
  35. 2015 Preface Manturov V.O., Ilyutko D.P., Nikonov I.M. In: Journal of Knot Theory and its Ramifications, published by World Scientific Publishing Co (Singapore), vol. 24, no. 13, pp. 1–6 ISTINA record doi
  36. 2013 Length of an extremal network in a normed space: Maxwell's formula Bannikova A.G., Ilyutko D.P., Nikonov I.M. In: Contemporary Mathematics. Fundamental Directions, published by RUDN University (Peoples' Friendship University of Russia) (Moscow), vol. 51, pp. 5–20 ISTINA record
  37. 2013 Link graph: non-realizability, orientation and Jones polynomial Ilyutko D.P., Safina V.S. In: Contemporary Mathematics. Fundamental Directions, published by RUDN University (Peoples' Friendship University of Russia) (Moscow), vol. 51, pp. 33–63 ISTINA record
  38. 2012 An Equivalence between the Set of Graph-knots and the Set of Homotopy Classes of Looped Graphs Ilyutko D.P. In: Journal of Knot Theory and its Ramifications, published by World Scientific Publishing Co (Singapore), vol. 21, no. 1 ISTINA record doi
  39. 2011 Framed 4-graphs: Euler tours, Gauss circuits and rotating circuits Ilyutko D.P. In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 202, no. 9, pp. 1303–1326 ISTINA record doi
  40. 2011 Framed 4-graphs: Eulerian cycles, Gaussian cycles and turning tours Ilyutko D.P. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 202, no. 9, pp. 53–76 ISTINA record doi
  41. 2009 Cobordisms of free knots Il'yutko D.P., Manturov V.O. In: Doklady Mathematics, published by Maik Nauka/Interperiodica Publishing (Russian Federation), vol. 80, no. 3, pp. 844–846 ISTINA record doi
  42. 2009 Cobordisms of free knots Ilyutko D.P., Manturov V.O. In: Doklady Mathematics, published by Nauka Publishing House (Moscow), vol. 429, no. 4, pp. 439–441 ISTINA record doi
  43. 2009 Graph-links Il'yutko D.P., Manturov V.O. In: Doklady Mathematics, published by Maik Nauka/Interperiodica Publishing (Russian Federation), vol. 80, no. 2, pp. 739–742 ISTINA record doi
  44. 2009 Introduction to graph-link theory Ilyutko D.P., Manturov V.O. In: Journal of Knot Theory and its Ramifications, published by World Scientific Publishing Co (Singapore), vol. 18, no. 6, pp. 791–823 ISTINA record doi
  45. 2009 Link graph Ilyutko D.P., Manturov V.O. In: Doklady Mathematics, published by Nauka Publishing House (Moscow), vol. 428, no. 5, pp. 591–594 ISTINA record doi
  46. 2006 Branched extremals of a functional of λ-normalized length Ilyutko D.P. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 197, no. 5, pp. 75–98 ISTINA record doi
  47. 2006 Branching extremals of the functional of $ \lambda$-normed length Il'yutko D.P. In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 197, no. 5, pp. 705–726 ISTINA record doi
  48. 2005 Geometry of extremal networks on λ-normed planes Ilyutko D.P. In: Moscow University Bulletin, published by Editorial Board of the Journal (Moscow), vol. 4, pp. 52–54 ISTINA record
  49. 2003 Locally minimal networks in N-normed spaces Ilyutko Denis Petrovich In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 74, no. 5, pp. 656–668 ISTINA record doi
  50. 2003 Locally Minimal Trees in N-Normed Spaces Il'yutko D.P. In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 74, no. 5,6, pp. 619–629 ISTINA record doi

Book chapters and collected papers

12 records

  1. 2024 SESC MSU - boarding school named after Kolmogorov: academic and extracurricular life Ilyutko D.P., Naralenkova I.I., Shivrinskaya E.V. In: Materials of the XXIV International Scientific Conference of Schoolchildren “Kolmogorov Readings” May 2-5, 2024, published by MAKS Press (Moscow), pp. 194–196 ISTINA record doi
  2. 2023 Examples of weight systems of framed chord diagrams Ilyutko D.P., Nikonov I.M. In: Algebra, number theory, discrete geometry and multiscale modeling: modern problems, applications and problems of history. Proceedings of the XXII International Conference (Tula, September 26-29, 2023), published in Tula: Tul. state ped. University named after L. N. Tolstoy, pp. 224–226 ISTINA record
  3. 2023 Examples of weight systems of framed chord diagrams Ilyutko D.P., Nikonov I.M. In: Materials of the All-Russian scientific and practical conference “Scientist, teacher, mentor”, dedicated to the 85th anniversary of the birth of Professor Albert Rubenovich Yesayan Tula, April 20–21, 2023, published in Tula State Pedagogical University. L. N. Tolstoy Tula, pp. 224–226 ISTINA record
  4. 2021 Embedding of cross graphs into two-dimensional surfaces and the theory of minors Ilyutko D.P. In: Classical and modern geometry. Proceedings of the International Conference dedicated to the 100th anniversary of the birth of L.S. Atanasyan, November 1-4, 2021, published in MPGU Moscow, pp. 77–78 ISTINA record
  5. 2021 Generalization of Bouchet's criterion for cyclicity of a graph to the case of frameworked graphs Ilyutko V.P., Ilyutko D.P. In: XIII Belarusian Mathematical Conference: Proceedings of the International Scientific Conference, Minsk, November 22–25, 2021: at 2 o'clock, published by Belaruskaya Navuka (Minsk), vol. 2, pp. 5–6 ISTINA record
  6. 2015 Graph-Links: The State of the Art Ilyutko D.P., Manturov V.O., Nikonov I.M. In New Ideas in Low Dimensional Topology, Series of Knots and Everything, World Scientific Publishing Co (Singapore), vol. 56, pp. 189–236 ISTINA record doi
  7. 2014 Unsolved problems in virtual knot theory and combinatorial knot theory Fenn Roger, Ilyutko D.P., Kauffman Louis H., Manturov V.O. In Knots in Poland III, Part III, series Banach Center Publications, published in Institute of Mathematics, Polish Academy of Sciences Warsaw, vol. 103, pp. 9–61 ISTINA record
  8. 2014 Virtual Knot Invariants Arising From Parities Ilyutko D.P., Manturov V.O., Nikonov I.M. In Knots in Poland III, Part I, series Banach Center Publications, published in Institute of Mathematics, Polish Academy of Sciences Warsaw, vol. 100, pp. 99–130 ISTINA record
  9. 2012 Graph-links and Bouchet graphs Ilyutko D.P. In Oberwolfach Reports, European Mathematical Society Publishing House (Switzerland), vol. 9, pp. 1748–1751 ISTINA record
  10. 2012 Intersection matrices of Euler circuits of 4-valent graphs with a cross structure Ilyutko D.P. In: Matematicheskoe Prosveshchenie, ser. 3, vol. 16, pp. 105–131
  11. 2011 Graph-Links Ilyutko D.P., Manturov V.O. In: Introductory Lectures On Knot Theory. Selected Lectures Presented at the Advanced School and Conference on Knot Theory and Its Applications to Physics and Biology, Series of Knots and Everything, World Scientific Publishing Co (Singapore), vol. 46, pp. 135–161 ISTINA record doi
  12. 2003 N-normed planes Ilyutko D.P. In: A.O. Ivanov, A.A. Tuzhilin, Theory of Extremal Networks, Moscow–Izhevsk, pp. 319–341

Books, textbooks and preprints

15 records

  1. 2026 Combinatorics and geometry in problems and exercises Ilyutko D.P., Manturov V.O., Nikonov I.M. MAKS Press (Moscow), ISBN 978-5-317-07571-2, 149 pp. ISTINA record
  2. 2026 LOW-DIMENSIONAL TOPOLOGY AND COMBINATORICS: nodes, braids and graphs Ilyutko D.P., Manturov V.O., Nikonov I.M. MAKS Press (Moscow), ISBN 978-5-317-07678-8, 113 pp. ISTINA record
  3. 2024 Computer Geometry: Fundamentals of differential geometry and topology. Basic concepts of computer geometry. Geometric modeling / 2nd ed., revised Golovanov N.N., Ilyutko D.P., Nosovsky G.V., Fomenko A.T. URSS Moscow, ISBN 978-5-9710-9511-8, 504 pp. ISTINA record
  4. 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
  5. 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
  6. 2022 Lectures on the course of differential geometry and topology Ilyutko D.P., Oshemkov A.A. Branch of Moscow State University named after M.V. Lomonosov in the city of Baku Baku, Azerbaijan, ISBN 978-9952-8354-7-2, 120 pp. ISTINA record
  7. 2021 Matrices and cross graphs Ilyutko D.P., Nikonov I.M. Polytope Kaluga, ISBN 978-5-93821-296-1, 160 pp. ISTINA record
  8. 2015 Parity and Patterns in Low-Dimensional Topology Ilyutko D.P., Manturov V.O., Nikonov I.M. Cambridge Scientific Publishers England, ISBN 978-1908106476, 182 pp. ISTINA record
  9. 2013 Combinatorial topology and graph theory in problems and exercises Ilyutko D.P., Manturov V.O., Nikonov I.M. Yaroslavl State University named after P.G.Demidova Yaroslavl, ISBN 978-5-8397-0980-5, 150 pp. ISTINA record
  10. 2013 Low-dimensional topology and combinatorics in original problems Ilyutko D.P., Manturov V.O., Nikonov I.M. Publishing house of the Board of Trustees at the Faculty of Mechanics and Mathematics of Moscow University Moscow, Russia, ISBN 978-5-211-05652-7, 110 pp. ISTINA record
  11. 2013 Parity in knot theory and graph-links Ilyutko D.P., Manturov V.O., Nikonov I.M. Plenum Publishers (United States), 157 pp. DOI ISTINA record doi
  12. 2013 Virtual Knots. The State of the Art Manturov V.O., Ilyutko D.P. World Scientific Publishing Co (Singapore), ISBN 978-981-4401-12-8, 521 pp. ISTINA record
  13. 2011 Parity in knot theory and graph linking Ilyutko D.P., Manturov V.O., Nikonov I.M. Contemporary Mathematics. Fundamental Directions Moscow, 163 pp. ISTINA record
  14. 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
  15. 2006 Computer Geometry: a textbook for university students Golovanov N.N., Ilyutko D.P., Nosovsky G.V., Fomenko A.T. Publishing center "ACADEMY" Moscow, ISBN 5-7695-2822-2, 512 pp. ISTINA record

Conference abstracts

13 records

  1. 2024 Finding pairs of intersecting triangles to perform Boolean operations on body shells in facet representation KIRKOV D.I., FARKHUTDINOV V.F., ILYUTKO D.P. In: MATHEMATICS AND MATHEMATICAL MODELING Collection of materials of the XVIII All-Russian Youth Scientific and Innovation School, published in Interkontakt LLC Sarov, abstracts, pp. 476–477 ISTINA record
  2. 2024 Weight systems of framed chord diagrams: the Circuit-Nullity formula and Lie algebras Ilyutko D.P. In: XXII Geometrical Seminar, May 26-31, 2024, Vrnjacka Banja, Serbia, Editor Mica Stankovic, University of Nis (Serbia), abstracts, pp. 29–29 ISTINA record
  3. 2017 2-Colored diagrams of knots: moves, realizability and invariants Ilyutko D., Trofimova A. In: of 4th Russian-Chinese Conference "Knot Theory and Related Topics", Moscow, 3-7 July, 2017, Abstracts, published in Bauman Moscow State Technical University Moscow, abstracts, pp. 11–11 ISTINA record
  4. 2017 Diagrammatic approach in knot theory and its applications in graph theory Ilyutko D.P., Nikonov I.M. In: Candidates for awards 2017. Abstracts of works, published by Moscow University Press (M.), abstracts, pp. 35–36 ISTINA record
  5. 2016 Chord diagrams: framings, operations and maps Denis Ilyutko In: XIX Geometrical Seminar, Zlatibor, August 28 - September 4 2016, Book of abstracts, published in University of Belgrade Belgrade, Serbia, abstracts, pp. 34–34 ISTINA record
  6. 2016 Connected sums of framed chord diagrams Ilyutko D.P. 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, pp. 42–43 ISTINA record
  7. 2014 Graph-links: polynomial and quantum invariants Ilyutko D.P. In: Oberwolfach Reports, series 26, published in the Mathematisches Forschungsinstitut Oberwolfach Oberwolfach, Germany, abstracts, pp. 27–29 ISTINA record doi
  8. 2013 Directed graph links, invariants and unrealizable graphs Ilyutko Denis Petrovich In: Abstracts of reports of the IV International Conference in Memory of L.D. Kudryavtsev, published in Moscow, Moscow, abstracts, pp. 344–345 ISTINA record
  9. 2005 Branching extremals in λ-geometry Ilyutko D.P. International Conference “Contemporary Geometry and Related Topics”, Belgrade, p. 32
  10. 2005 λ-realization of a network and convergence of λ-extremal networks as λ → ∞ Ilyutko D.P. International Conference “Problems of Theoretical Cybernetics”, Penza, p. 55
  11. 2004 A geometric criterion of extremality of an arbitrary tree on a λ-normed plane Ilyutko D.P. International Conference on Analysis and Geometry, Novosibirsk, pp. 108–111; Novorossiysk, pp. 27–29
  12. 2004 Extremal networks on Minkowski planes Ilyutko D.P. VIII International Seminar “Discrete Mathematics and Its Applications”, Moscow, pp. 392–395
  13. 2004 Locally minimal and extremal networks on N-normed planes Ilyutko D.P. Voronezh Winter Mathematical School, Voronezh, pp. 82–88

Conference talks

35 records

  1. 2026 Oriented graph-links: invariants and classification Ilyutko D.P., Nikonov I.M. 12th Russian-Chinese Conference on Knot Theory and Related Issues, Federal Territory "Sirius", Russia, June 22-26, 2026
  2. 2025 Closing of the XXV Kolmogorov Readings Ilyutko D.P. XXV international scientific conference for schoolchildren “Kolmogorov Readings”, Moscow, Russia, May 2-5, 2025
  3. 2025 Opening of the XXV Kolmogorov Readings Ilyutko D.P. XXV international scientific conference for schoolchildren “Kolmogorov Readings”, Moscow, Russia, May 2-5, 2025
  4. 2024 Closing of the XXIV Kolmogorov Readings Ilyutko D.P. XXIV International Scientific Conference for Schoolchildren “Kolmogorov Readings”, Moscow, Russia, May 2-5, 2024
  5. 2024 Opening of the XXIV Kolmogorov Readings Ilyutko D.P. XXIV International Scientific Conference for Schoolchildren “Kolmogorov Readings”, Moscow, Russia, May 2-5, 2024
  6. 2024 Weight systems of framed chord diagrams: the Circuit-Nullity formula and Lie algebras Ilyutko D.P. XXII GEOMETRICAL SEMINAR Vrnjačka Banja, Serbia, May 26-31, 2024 , Vrnjačka Banja, Serbia, May 26-31, 2024, Serbia, May 26-31, 2024
  7. 2023 Closing of the XXIII Kolmogorov Readings Ilyutko D.P. International scientific school conference-competition “XXIII Kolmogorov Readings”, dedicated to the 120th anniversary of A.N. Kolmogorov, Moscow, Russia, May 3-6, 2023
  8. 2023 Examples of weight systems of framed chord diagrams Ilyutko D.P., Nikonov I.M. Algebra, number theory, discrete geometry and multiscale modeling: modern problems, applications and problems of history XXII International Conference, Tula, Russia, September 26-29, 2023
  9. 2023 Opening of the XXIII Kolmogorov Readings Ilyutko D.P. International scientific school conference-competition “XXIII Kolmogorov Readings”, dedicated to the 120th anniversary of A.N. Kolmogorov, Moscow, Russia, May 3-6, 2023
  10. 2022 Cross graphs: checkerboard embeddings, intersection graphs and minor theory Ilyutko D.P. XXI geometrical seminar, Belgrade, Serbia, June 26 - July 2, 2022
  11. 2022 Forbidden minors on the embeddability of 4-graphs with a cross structure in two-dimensional surfaces Ilyutko D.P. Lomonosov readings, 2022, Moscow, Russia, April 15-22, 2022
  12. 2021 Cyclicity of a generalized 4-graph with a cross structure and minimal forbidden minors Ilyutko V.P., Ilyutko D.P. Lomonosov readings 2021, Moscow, Russia, April 20-29, 2021
  13. 2021 Cyclicity of a generalized cross graph Ilyutko D.P., Ilyutko V.P. XX International Conference "Algebra, number theory, discrete geometry and multiscale modeling: modern problems, applications and problems of history", Tula, Russia, September 21-24, 2021
  14. 2021 Embedding of cross graphs in two-dimensional surfaces and the theory of minors Ilyutko D.P. International conference “Classical and modern geometry”, dedicated to the 100th anniversary of the birth of Levon Sergeevich Atanasyan, Faculty of Mathematics, Moscow State University, Russia, November 1-4, 2021
  15. 2021 Generalization of Boucher's criterion for the cyclicity of a graph to the case of framed graphs Ilyutko V.P., Ilyutko D.P. International scientific conference “XIII Belarusian Mathematical Conference”, Belarusian State University, Minsk, Belarus, November 22-25, 2021
  16. 2020 Binary graph rank and embeddability of 4-graphs with a cross structure in a surface Ilyutko D.P., Bezgodova S.Yu. Lomonosov Readings 2020. Section of Mathematics, Moscow State University named after M.V. Lomonosov, Russia, October 21-28, 2020
  17. 2020 Embeddings of 4-graphs with a cross structure into 2-surfaces and minimal forbidden minors Bezgodova S., Ilyutko D. First Korea-Russia Conference on Knot theory and Related Topics, Remote conference, Russia, November 3-6, 2020
  18. 2020 Equipped linear chord diagrams for 2T and 4T relations Ilyutko D.P., Alekseeva A.S. Lomonosov readings 2020. Section Mathematics, Moscow, Russia, October 7-30, 2020
  19. 2017 2-Colored diagrams of knots: moves, realizability and invariant Denis Ilyutko, Anastasia TROFIMOVA 4th Russian-Chinese Conference "Knot Theory and Related Topics", Moscow, July 3-7, 2017. , Moscow, MSTU. N.E. Bauman, Russia, July 3-7, 2017
  20. 2017 Diagrammatic approach in knot theory and its applications in graph theory Ilyutko D.P., Nikonov I.M. Reports of candidates for the 2017 awards, Moscow, Russia, December 7-8, 2017
  21. 2016 Chord diagrams: framings, operations and maps Ilyutko D.P. XIX Geometrical seminar, Zlatibor (Serbia), August 28 - September 4 2016. , Zlatibor, Serbia., Serbia, August 28 - September 4, 2016
  22. 2016 Connected sums of framed chord diagrams Ilyutko D.P. 4th International Workshop on Analysis, Probability and Geometry, Moscow, Russia, September 26 - October 1, 2016
  23. 2015 Graph-links: introduction, polynomial invariants and realization Ilyutko D.P. 2015 TAPU Workshop on Knot Theory and Related Topics, Jeju National University International Center, Korea, Republic of, September 21-24, 2015
  24. 2015 Picture valued invariants of graph-links and classification Ilyutko D.P. 2015 TAPU Workshop on Knot Theory and Related Topics, Jeju National University International Center, Korea, Republic of, September 21-24, 2015
  25. 2014 Graph-links: polynomial and quantum invariants Ilyutko D.P. Algebraic Structures in Low-Dimensional Topology, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany, Germany, 2014
  26. 2013 Oriented graph-links, invariants and non-realizable graphs Ilyutko D.P. 4th international conference “Functional spaces. Differential operators. General topology. Problems of mathematical education”, dedicated to the 90th anniversary of the birth of corresponding member. RAS, Academician of the European Academy of Sciences L.D. Kudryavtseva, Moscow, Russia, 2013
  27. 2012 Branching extremals in normed spaces and length formula Nikonov I.M., Ilyutko D.P. Yaroslavl international conference “Discrete Geometry” dedicated to centenary of A.D.Alexandrov, Yaroslavl', Russia, 2012
  28. 2012 Extremal Networks and Maxwell Formula Ilyutko D.P., Nikonov I.M. International topological conference "Alexandrovsky readings", Moscow, Russia, 2012
  29. 2012 Extremal networks in normed planes and Maxwell formula Nikonov I.M., Ilyutko D.P. XVII geometrical seminar, Zlatibor, Serbia, Serbia, 2012
  30. 2012 Graph-links and Bouchet graphs Ilyutko D.P. Invariants in Low-Dimensional Topology and Knot Theory, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany, Germany, 2012
  31. 2011 An equivalence between two theories of `non-realizable’ links Ilyutko D.P. Knots and Links: From Form to Function, Pisa, Italy, Italy, 2011
  32. 2011 Lectures on Combinatorics of Knots Manturov V.O., Ilyutko D.P. Knots and Links: From Theory to Applications, Pisa, Italy, Italy, 2011
  33. 2010 Framed 4-Valent Graphs: Euler Tours, Gauss Circuits and Rotating Circuits Ilyutko D.P. Topology, geometry and dynamics: To the 90th anniversary of V.A. Rokhlin, St. Petersburg, Russia, 2010
  34. 2010 Graph-links and Homotopy Classes of Looped Graphs Ilyutko D.P. KNOTS in Poland III, Warsaw-Bedlewo, Poland, 2010
  35. 2010 Virtual Knots, Chord Diagrams and Intersection Graphs Ilyutko D.P. Third Texas Southmost Geometry and Topology Conference, Brownsville, USA, 2010