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Malyshev, Dmitriy Sergeevich

Professor
Doctor of physico-mathematical sciences (2014)
Speciality: 01.01.09 (Discrete mathematics and mathematical cybernetics)
Birth date: 29.10.1985
E-mail:
Keywords: graph problems, computational complexity, extremal classes.
UDC: 519.178, 519.7

Subject:

Graph theory, theory of computational complexity

   
Main publications:
  1. Alekseev V. E., Malyshev D. S., “Klassy planarnykh grafov s polinomialno razreshimoi zadachei o nezavisimom mnozhestve”, Diskretn. analiz i issled. oper., 15:1 (2008), 3–10  mathnet
  2. Alekseev V.E., Lozin V.V., Malyshev D.S., Millanic M., “The Maximum Independent Set Problem in Planar Graphs”, Lecture Notes in Computer Science, 5162 (2008), 96–107  crossref  zmath
  3. Alekseev V. E., Malyshev D. S., “Kriterii granichnosti i ego primeneniya”, Diskretnyi analiz i issledovanie operatsii, 15:6 (2008), 3–10  mathnet
  4. Malyshev D. S., “Kontinualnye mnozhestva granichnykh klassov grafov dlya zadach o raskraske”, Diskretnyi analiz i issledovanie operatsii, 16:5 (2009), 41–51  mathnet
  5. Malyshev D. S., “O minimalnykh slozhnykh klassakh grafov”, Diskretnyi analiz i issledovanie operatsii, 16:6 (2009), 43–51  mathnet

https://www.mathnet.ru/eng/person32724
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/877337
https://elibrary.ru/author_items.asp?spin=1987-3057
https://www.webofscience.com/wos/author/record/J-8088-2015
https://www.scopus.com/authid/detail.url?authorId=25522390800

Publications in Math-Net.Ru Citations
2024
1. K. Kaymakov, D. S. Malyshev, “Approximate search for the $k$th order distance in a system of unit square points”, Mat. Zametki, 116:4 (2024),  504–509  mathnet; Math. Notes, 116:4 (2024), 646–650
2. N. A. Kuz'min, D. S. Malyshev, “On 5- and 6-Leaved Trees with the Largest Number of Matchings”, Mat. Zametki, 115:3 (2024),  371–384  mathnet  mathscinet; Math. Notes, 115:3 (2024), 341–351  scopus
3. K. Kaymakov, D. S. Malyshev, “Effective calculation of all tolerances in the sparse maximin routing problem”, Uspekhi Mat. Nauk, 79:5(479) (2024),  185–186  mathnet
2023
4. D. S. Malyshev, O. I. Duginov, “A complete complexity dichotomy of the edge-coloring problem for all sets of 8-edge forbidden subgraphs”, Diskretn. Anal. Issled. Oper., 30:4 (2023),  91–109  mathnet; J. Appl. Industr. Math., 17:4 (2023), 791–801
5. G. S. Dakhno, D. S. Malyshev, “On a countable family of boundary graph classes for the dominating set problem”, Diskretn. Anal. Issled. Oper., 30:1 (2023),  28–39  mathnet  mathscinet; J. Appl. Industr. Math., 17:1 (2023), 25–31
6. N. A. Kuz'min, D. S. Malyshev, “On diameter $5$ trees with the maximum number of matchings”, Mat. Sb., 214:2 (2023),  143–154  mathnet  mathscinet  zmath; Sb. Math., 214:2 (2023), 273–284  isi  scopus 1
2022
7. D. S. Malyshev, O. I. Duginov, “Some cases of polynomial solvability for the edge colorability problem generated by forbidden $8$-edge subcubic forests”, Diskretn. Anal. Issled. Oper., 29:2 (2022),  38–61  mathnet  mathscinet 1
8. N. A. Kuz'min, D. S. Malyshev, “Enumeration of Matchings in Complete $q$-ary Trees”, Mat. Zametki, 111:3 (2022),  393–402  mathnet  mathscinet; Math. Notes, 111:3 (2022), 398–406  scopus
9. N. A. Kuz'min, D. S. Malyshev, “A New Proof of a Result Concerning a Complete Description of $ (n, n + 2) $-Graphs with Maximum Value of the Hosoya Index”, Mat. Zametki, 111:2 (2022),  258–276  mathnet; Math. Notes, 111:2 (2022), 258–272  isi  scopus 3
10. D. Gribanov, D. Malyshev, “A faster algorithm for counting the integer points number in $\Delta$-modular polyhedra”, Sib. Èlektron. Mat. Izv., 19:2 (2022),  613–626  mathnet  mathscinet
11. O. I. Duginov, B. M. Kuskova, D. S. Malyshev, N. A. Shur, “Structural and algorithmic properties of maximal dissociating sets in graphs”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:2 (2022),  114–142  mathnet  mathscinet  elib
2021
12. O. O. Razvenskaya, D. S. Malyshev, “Efficient solvability of the weighted vertex coloring problem for some two hereditary graph classes”, Diskretn. Anal. Issled. Oper., 28:1 (2021),  15–47  mathnet; J. Appl. Industr. Math., 15:1 (2021), 97–117  scopus 1
2020
13. D. S. Malyshev, “Complete complexity dichotomy for 7-edge forbidden subgraphs in the edge coloring problem”, Diskretn. Anal. Issled. Oper., 27:4 (2020),  104–130  mathnet; J. Appl. Industr. Math., 14:4 (2020), 706–721  scopus 2
14. D. V. Gribanov, D. S. Malyshev, D. B. Mokeev, “Efficient solvability of the weighted vertex coloring problem for some hereditary class of graphs with $5$-vertex prohibitions”, Diskretn. Anal. Issled. Oper., 27:3 (2020),  71–87  mathnet; J. Appl. Industr. Math., 14:3 (2020), 480–489  scopus 1
15. D. B. Mokeev, D. S. Malyshev, “On the König graphs for a 5-path and its spanning supergraphs”, Diskretn. Anal. Issled. Oper., 27:2 (2020),  90–116  mathnet; J. Appl. Industr. Math., 14:2 (2020), 367–382  scopus 1
16. D. V. Gribanov, D. S. Malyshev, “Minimization of even conic functions on the two-dimensional integral lattice”, Diskretn. Anal. Issled. Oper., 27:1 (2020),  17–42  mathnet; J. Appl. Industr. Math., 14:1 (2020), 56–72  scopus 3
17. D. S. Taletskii, D. S. Malyshev, “Trees with a given number of leaves and the maximal number of maximum independent sets”, Diskr. Mat., 32:2 (2020),  71–84  mathnet  mathscinet  elib; Discrete Math. Appl., 31:2 (2021), 135–144  isi  scopus
18. Vladislav E. Kruglov, Dmitry S. Malyshev, Olga V. Pochinka, Danila D. Shubin, “On Topological Classification of Gradient-like Flows on an $n$-sphere in the Sense of Topological Conjugacy”, Regul. Chaotic Dyn., 25:6 (2020),  716–728  mathnet  mathscinet  isi  scopus 3
19. D. S. Malyshev, “A complete classification of the complexity of the vertex 3-colourability problem for quadruples of induced 5-vertex prohibitions”, Zhurnal SVMO, 22:1 (2020),  38–47  mathnet 3
2019
20. D. S. Malyshev, D. B. Mokeev, “König graphs with respect to the 4-path and its spanning supergraphs”, Diskretn. Anal. Issled. Oper., 26:1 (2019),  74–88  mathnet; J. Appl. Industr. Math., 13:1 (2019), 85–92  scopus 3
21. D. V. Sirotkin, D. S. Malyshev, “A constructive existence theorem related to local transformations of graphs for the independent set problem”, Zhurnal SVMO, 21:2 (2019),  215–221  mathnet  elib
2018
22. D. V. Sirotkin, D. S. Malyshev, “On the complexity of the vertex $3$-coloring problem for the hereditary graph classes with forbidden subgraphs of small size”, Diskretn. Anal. Issled. Oper., 25:4 (2018),  112–130  mathnet  elib; J. Appl. Industr. Math., 12:4 (2018), 759–769  scopus 5
23. D. S. Taletskii, D. S. Malyshev, “On trees of bounded degree with maximal number of greatest independent sets”, Diskretn. Anal. Issled. Oper., 25:2 (2018),  101–123  mathnet  elib; J. Appl. Industr. Math., 12:2 (2018), 369–381  scopus 3
24. D. S. Taletskii, D. S. Malyshev, “Trees without twin-leaves with smallest number of maximal independent sets”, Diskr. Mat., 30:4 (2018),  115–133  mathnet  mathscinet  elib; Discrete Math. Appl., 30:1 (2020), 53–67  isi  scopus 3
25. V. E. Kruglov, D. S. Malyshev, O. V. Pochinka, “A multicolour graph as a complete topological invariant for $\Omega$-stable flows without periodic trajectories on surfaces”, Mat. Sb., 209:1 (2018),  100–126  mathnet  mathscinet  zmath  elib; Sb. Math., 209:1 (2018), 96–121  isi  scopus 8
2017
26. D. S. Malyshev, D. V. Sirotkin, “Polynomial-time solvability of the independent set problem in a certain class of subcubic planar graphs”, Diskretn. Anal. Issled. Oper., 24:3 (2017),  35–60  mathnet  elib; J. Appl. Industr. Math., 11:3 (2017), 400–414  scopus 3
27. D. S. Malyshev, “Critical elements in combinatorially closed families of graph classes”, Diskretn. Anal. Issled. Oper., 24:1 (2017),  81–96  mathnet  mathscinet  elib; J. Appl. Industr. Math., 11:1 (2017), 99–106  scopus 3
28. D. V. sirotkin, D. S. Malyshev, “A method of graph reduction and its applications”, Diskr. Mat., 29:3 (2017),  114–125  mathnet  elib; Discrete Math. Appl., 28:4 (2018), 249–258  isi  scopus 1
2016
29. D. S. Taletskii, D. S. Malyshev, “On the number of maximal independent sets in complete $q$-ary trees”, Diskr. Mat., 28:4 (2016),  139–149  mathnet  mathscinet  elib; Discrete Math. Appl., 27:5 (2017), 311–318  isi  scopus 3
30. D. S. Malyshev, “Complexity classification of the edge coloring problem for a family of graph classes”, Diskr. Mat., 28:2 (2016),  44–50  mathnet  mathscinet  elib; Discrete Math. Appl., 27:2 (2017), 97–101  isi  scopus 6
31. Vyacheslav Z. Grines, Dmitry S. Malyshev, Olga V. Pochinka, Svetlana Kh. Zinina, “Efficient Algorithms for the Recognition of Topologically Conjugate Gradient-like Diffeomorhisms”, Regul. Chaotic Dyn., 21:2 (2016),  189–203  mathnet  mathscinet  isi  scopus 7
32. E. Ya. Gurevich, D. S. Malyshev, “On the topological classification of Morse-Smale diffeomorphisms on the sphere $S^n$ via colored graphs”, Zhurnal SVMO, 18:4 (2016),  30–33  mathnet  elib
33. D. V. Gribanov, D. S. Malyshev, “The complexity of some graph problems with bounded minors of their constraint matrices”, Zhurnal SVMO, 18:3 (2016),  19–31  mathnet  elib
34. V. E. Kruglov, D. S. Malyshev, O. V. Pochinka, “The graph criterion for the topological equivalence of $\Omega $ – stable flows without periodic trajectories on surfaces and efficient algorithm for its application”, Zhurnal SVMO, 18:2 (2016),  47–58  mathnet  elib 1
2014
35. D. S. Malyshev, “The complexity of the edge 3-colorability problem for graphs without two induced fragments each on at most six vertices”, Sib. Èlektron. Mat. Izv., 11 (2014),  811–822  mathnet 6
2013
36. D. S. Malyshev, “Critical graph classes for the edge list-ranking problem”, Diskretn. Anal. Issled. Oper., 20:6 (2013),  59–76  mathnet  mathscinet; J. Appl. Industr. Math., 8:2 (2014), 245–255  scopus 19
37. D. S. Malyshev, “Сlasses of subcubic planar graphs for which the independent set problem is polynomial-time solvable”, Diskretn. Anal. Issled. Oper., 20:3 (2013),  26–44  mathnet  mathscinet; J. Appl. Industr. Math., 7:4 (2013), 537–548 12
38. D. S. Malyshev, “Extending operators for the independent set problem”, Diskretn. Anal. Issled. Oper., 20:2 (2013),  75–87  mathnet  mathscinet; J. Appl. Industr. Math., 7:3 (2013), 412–419
39. D. S. Malyshev, “The impact of the growth rate of the packing number of graphs on the computational complexity of the independent set problem”, Diskr. Mat., 25:2 (2013),  63–67  mathnet  mathscinet  elib; Discrete Math. Appl., 23:3-4 (2013), 245–249  elib  scopus 4
2012
40. D. S. Malyshev, “Study of boundary graph classes for colorability problems”, Diskretn. Anal. Issled. Oper., 19:6 (2012),  37–48  mathnet  mathscinet; J. Appl. Industr. Math., 7:2 (2013), 221–228 11
41. D. S. Malyshev, “Polynomial solvability of the independent set problem for one class of graphs with small diameter”, Diskretn. Anal. Issled. Oper., 19:4 (2012),  66–72  mathnet  mathscinet 1
42. D. S. Malyshev, “Effective solvability of the independent set problem in a class of graphs without induced path and cycle with five vertices and a big clique”, Diskretn. Anal. Issled. Oper., 19:3 (2012),  58–64  mathnet  mathscinet 1
43. D. S. Malyshev, “The complexity analysis of the edge-ranking problem for hereditary graph classes with at most three prohibitions”, Diskretn. Anal. Issled. Oper., 19:1 (2012),  74–96  mathnet  mathscinet 2
44. D. S. Malyshev, “Extremal sets of graphs in the problem of demarcation in the family of hereditary closed classes of graphs”, Diskr. Mat., 24:4 (2012),  91–103  mathnet  mathscinet  elib; Discrete Math. Appl., 22:5-6 (2012), 595–608
45. D. S. Malyshev, “On intersection and symmetric difference of families of boundary classes in the problems on colouring and on the chromatic number”, Diskr. Mat., 24:2 (2012),  75–78  mathnet  mathscinet  elib; Discrete Math. Appl., 21:5-6 (2011), 645–649 7
2011
46. D. S. Malyshev, V. E. Alekseev, “Boundary classes for the list-ranking problems in subclasses of forests”, Diskretn. Anal. Issled. Oper., 18:6 (2011),  61–70  mathnet  mathscinet  zmath 5
47. D. S. Malyshev, “Analysis of the number of the edges effect on the complexity of the independent set problem solvability”, Diskretn. Anal. Issled. Oper., 18:3 (2011),  84–88  mathnet  mathscinet  zmath; J. Appl. Industr. Math., 6:1 (2012), 97–99  scopus 2
48. D. S. Malyshev, “Minimal hard classes of graphs for the edge list-ranking problem”, Diskretn. Anal. Issled. Oper., 18:1 (2011),  70–76  mathnet  mathscinet  zmath 5
2009
49. D. S. Malyshev, “On minimal hard classes of graphs”, Diskretn. Anal. Issled. Oper., 16:6 (2009),  43–51  mathnet  mathscinet  zmath 11
50. D. S. Malyshev, “Continued sets of boundary classes of graphs for colorability problems”, Diskretn. Anal. Issled. Oper., 16:5 (2009),  41–51  mathnet  mathscinet  zmath 9
51. D. S. Malyshev, “Boundary classes of graphs for some recognition problems”, Diskretn. Anal. Issled. Oper., 16:2 (2009),  85–94  mathnet  mathscinet  zmath 2
52. D. S. Malyshev, “On infinity of the set of boundary classes for the 3-edge-colorability problem”, Diskretn. Anal. Issled. Oper., 16:1 (2009),  37–43  mathnet  mathscinet  zmath; J. Appl. Industr. Math., 4:2 (2010), 213–217  scopus 6
53. D. S. Malyshev, “On the number of boundary classes in the 3-colouring problem”, Diskr. Mat., 21:4 (2009),  129–134  mathnet  mathscinet  elib; Discrete Math. Appl., 19:6 (2009), 625–630  scopus 4
2008
54. V. E. Alekseev, D. S. Malyshev, “A criterion for a class of graphs to be a boundary class and applications”, Diskretn. Anal. Issled. Oper., 15:6 (2008),  3–10  mathnet  mathscinet  zmath 9
55. V. E. Alekseev, D. S. Malyshev, “Классы планарных графов с полиномиально разрешимой задачей о независимом множестве”, Diskretn. Anal. Issled. Oper., 15:1 (2008),  3–10  mathnet  mathscinet  zmath; J. Appl. Industr. Math., 3:1 (2009), 1–4  scopus 10

2021
56. O. V. Anashkin, P. M. Akhmet'ev, D. V. Balandin, M. K. Barinova, I. V. Boykov, A. N. Bezdenezhnyh, V. N. Belykh, P. A. Vel'misov, I. Yu. Vlasenko, O. E. Galkin, S. Yu. Galkina, V. K. Gorbunov, S. D. Glyzin, S. V. Gonchenko, A. S. Gorodetski, E. V. Gubina, E. Ya. Gurevich, A. A. Davydov, L. S. Efremova, R. V. Zhalnin, A. Yu. Zhirov, E. V. Zhuzhoma, N. I. Zhukova, S. Kh. Zinina, Yu. S. Ilyashenko, N. V. Isaenkova, A. O. Kazakov, A. V. Klimenko, S. A. Komech, Yu. A. Kordyukov, V. E. Kruglov, E. V. Kruglov, E. B. Kuznetsov, S. K. Lando, Yu. A. Levchenko, L. M. Lerman, S. I. Maksimenko, M. I. Malkin, D. S. Malyshev, V. K. Mamaev, T. Ph. Mamedova, V. S. Medvedev, T. V. Medvedev, D. I. Mints, T. M. Mitryakova, A. D. Morozov, A. I. Morozov, E. V. Nozdrinova, E. N. Pelinovsky, Ya. B. Pesin, A. S. Pikovsky, S. Yu. Pilyugin, G. M. Polotovsky, O. V. Pochinka, I. D. Remizov, P. E. Ryabov, A. S. Skripchenko, A. V. Slunyaev, S. V. Sokolov, L. A. Sukharev, E. A. Talanova, V. A. Timorin, S. B. Tikhomirov, V. F. Tishkin, D. V. Treschev, D. V. Turaev, N. G. Chebochko, E. E. Chilina, P. A. Shamanaev, D. D. Shubin, E. I. Yakovlev, “To the 75th anniversary of Vyacheslav Zigmundovich Grines”, Zhurnal SVMO, 23:4 (2021),  472–476  mathnet

Presentations in Math-Net.Ru
1. Critical hereditary classes of graphs
D. S. Malyshev

August 10, 2021 17:00
2. Критические наследственные классы графов
D. S. Malyshev
Colloquium of the Faculty of Computer Science
June 21, 2016 18:10   
3. Исследование «критических» наследственных классов в анализе вычислительной сложности задач на графах
D. S. Malyshev
MIPT Interdepartmental Seminar on Discrete Mathematics
September 25, 2013 18:30

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