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Pyatkin Artem Valir'evich

Publications in Math-Net.Ru

  1. On the maximum number of open triangles in graphs with few edges

    Diskretn. Anal. Issled. Oper., 31:3 (2024),  144–152
  2. On the complexity of the problem of choice of large clusters

    Diskretn. Anal. Issled. Oper., 31:2 (2024),  136–143
  3. Ptas for problems of vector choice and clustering with different centers

    Diskretn. Anal. Issled. Oper., 30:3 (2023),  96–110
  4. On the maximum number of open triangles in graphs with the same number of vertices and edges

    Diskretn. Anal. Issled. Oper., 29:1 (2022),  46–55
  5. On complexity of two-machine routing propotionate open shop

    Sib. Èlektron. Mat. Izv., 19:2 (2022),  528–539
  6. On a routing Open Shop Problem on two nodes with unit processing times

    Diskretn. Anal. Issled. Oper., 27:3 (2020),  53–70
  7. Complexity of some problems of quadratic partitioning of a finite set of points in Euclidean space into balanced clusters

    Zh. Vychisl. Mat. Mat. Fiz., 60:1 (2020),  151–158
  8. An algorithm with parameterized complexity of constructing the optimal schedule for the routing open shop problem with unit execution times

    Sib. Èlektron. Mat. Izv., 16 (2019),  42–84
  9. Quadratic Euclidean 1-Mean and 1-Median 2-Clustering Problem with Constraints on the Size of the Clusters: Complexity and Approximability

    Trudy Inst. Mat. i Mekh. UrO RAN, 25:4 (2019),  69–78
  10. On a list $(k,l)$-coloring of incidentors in multigraphs of even degree for some values of $k$ and $l$

    Trudy Inst. Mat. i Mekh. UrO RAN, 25:2 (2019),  177–184
  11. Word-representable graphs: a survey

    Diskretn. Anal. Issled. Oper., 25:2 (2018),  19–53
  12. On the Complexity of Some Max–Min Clustering Problems

    Trudy Inst. Mat. i Mekh. UrO RAN, 24:4 (2018),  189–198
  13. Np-hardness of some Euclidean problems of partitioning a finite set of points

    Zh. Vychisl. Mat. Mat. Fiz., 58:5 (2018),  852–856
  14. On $(1,l)$-coloring of incidentors of multigraphs

    Diskretn. Anal. Issled. Oper., 24:4 (2017),  34–46
  15. On list incidentor $(k,l)$-colorings

    Diskretn. Anal. Issled. Oper., 24:1 (2017),  21–30
  16. On the complexity and approximability of some Euclidean optimal summing problems

    Zh. Vychisl. Mat. Mat. Fiz., 56:10 (2016),  1831–1836
  17. On the complexity of some quadratic Euclidean 2-clustering problems

    Zh. Vychisl. Mat. Mat. Fiz., 56:3 (2016),  498–504
  18. On interval $(1,1)$-coloring of incidentors of interval colorable graphs

    Diskretn. Anal. Issled. Oper., 22:2 (2015),  63–72
  19. Complexity of the Euclidean max cut problem

    Diskretn. Anal. Issled. Oper., 21:4 (2014),  3–11
  20. On edge muticoloring of unicyclic graphs

    Diskretn. Anal. Issled. Oper., 21:3 (2014),  76–81
  21. Efficient algorithms with performance estimates for some problems of finding several cliques in a complete undirected weighted graph

    Trudy Inst. Mat. i Mekh. UrO RAN, 20:2 (2014),  99–112
  22. On the complexity of some vector sequence clustering problems

    Diskretn. Anal. Issled. Oper., 20:2 (2013),  47–57
  23. $2$-approximate algorithm for finding a clique with minimum weight of vertices and edges

    Trudy Inst. Mat. i Mekh. UrO RAN, 19:2 (2013),  134–143
  24. Preemptive routing open shop on a link

    Diskretn. Anal. Issled. Oper., 19:3 (2012),  65–78
  25. О сложности некоторых задач выбора подпоследовательности векторов

    Zh. Vychisl. Mat. Mat. Fiz., 52:12 (2012),  2284–2291
  26. NP-completeness of some problems of a vectors subset choice

    Diskretn. Anal. Issled. Oper., 17:5 (2010),  37–45
  27. On the complexity of the maximum sum length vectors subset choice problem

    Diskretn. Anal. Issled. Oper., 16:6 (2009),  68–73
  28. A 2-approximation algorithm for the metric 2-peripatetic salesman problem

    Diskretn. Anal. Issled. Oper., 16:4 (2009),  3–20
  29. Complexity of certain problems of searching for subsets of vectors and cluster analysis

    Zh. Vychisl. Mat. Mat. Fiz., 49:11 (2009),  2059–2065
  30. On polynomial solvability of some vector subset problems in Euclidean space with fixed dimension

    Diskretn. Anal. Issled. Oper., 15:6 (2008),  11–19
  31. On one variant of the vectors subset choice problem

    Diskretn. Anal. Issled. Oper., 15:5 (2008),  20–34
  32. On decentralized transportation problem

    Diskretn. Anal. Issled. Oper., 15:3 (2008),  22–30
  33. О предписанной раскраске инциденторов в мультиграфе степени 3

    Diskretn. Anal. Issled. Oper., Ser. 1, 14:3 (2007),  80–89
  34. Унициклические целочисленно несуммируемые графы

    Diskretn. Anal. Issled. Oper., Ser. 1, 14:2 (2007),  16–24
  35. Об оценках инциденторного хроматического числа взвешенного неориентированного мультиграфа

    Diskretn. Anal. Issled. Oper., Ser. 1, 14:2 (2007),  3–15
  36. The problem of finding a subset of vectors with the maximum total weight

    Diskretn. Anal. Issled. Oper., Ser. 2, 14:1 (2007),  32–42
  37. Polynomial algorithms for solving the vector sum problem

    Diskretn. Anal. Issled. Oper., Ser. 1, 13:2 (2006),  3–10
  38. On the coloring of incidentors in an oriented weighted multigraph

    Diskretn. Anal. Issled. Oper., Ser. 1, 13:1 (2006),  33–44
  39. On the $(1,1)$-coloring of incidentors of multigraphs of degree 4

    Diskretn. Anal. Issled. Oper., Ser. 1, 11:3 (2004),  59–62
  40. Upper and lower bounds for an incidentor $(k,l)$-chromatic number

    Diskretn. Anal. Issled. Oper., Ser. 1, 11:1 (2004),  93–102
  41. Critical Erdős and Dirac graphs of even degree

    Diskretn. Anal. Issled. Oper., Ser. 1, 10:3 (2003),  12–22
  42. Some upper bounds for the incidentor $(k,l)$-chromatic number

    Diskretn. Anal. Issled. Oper., Ser. 1, 10:2 (2003),  66–78
  43. Transmission of messages in a local network with two central computers

    Diskretn. Anal. Issled. Oper., Ser. 1, 9:2 (2002),  91–99
  44. $(k,l)$-coloring of incidentors of cubic multigraphs

    Diskretn. Anal. Issled. Oper., Ser. 1, 9:1 (2002),  49–53
  45. A two-level assignment problem

    Diskretn. Anal. Issled. Oper., Ser. 2, 8:2 (2001),  42–51
  46. On the $(k,l)$-coloring of incidentors

    Diskretn. Anal. Issled. Oper., Ser. 1, 7:4 (2000),  29–37
  47. A two-level bimatrix game with payoff regulation

    Diskretn. Anal. Issled. Oper., Ser. 2, 7:2 (2000),  54–59
  48. On the accuracy of a set-partition algorithm

    Diskretn. Anal. Issled. Oper., Ser. 1, 4:1 (1997),  79–87
  49. Some problems for optimizing the routing of messages in a local communication network

    Diskretn. Anal. Issled. Oper., 2:4 (1995),  74–79


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