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  1. 2024

  2. On semi-transitive orientability of split graphs

    Kitaev, S. & Pyatkin, A., Feb 2024, In: Information Processing Letters. 184, 4 p., 106435.

    Research output: Contribution to journal › Article › peer-review

  3. 2023

  4. 1-mean and 1-medoid 2-clustering problem with arbitrary cluster sizes: Complexity and approximation

    Pyatkin, A. V., 2023, In: Yugoslav Journal of Operations Research. 33, 1, p. 59-69 11 p.

    Research output: Contribution to journal › Article › peer-review

  5. 2022

  6. On the Maximum Number of Open Triangles in Graphs with the Same Number of Vertices and Edges

    Pyatkin, A. V. & Chernykh, O. I., Feb 2022, In: Journal of Applied and Industrial Mathematics. 16, 1, p. 116-121 6 p.

    Research output: Contribution to journal › Article › peer-review

  7. 2021

  8. Irreducible bin packing and normality in routing open shop

    Chernykh, I. & Pyatkin, A., Sept 2021, In: Annals of Mathematics and Artificial Intelligence. 89, 8-9, p. 899-918 20 p.

    Research output: Contribution to journal › Article › peer-review

  9. NP-Hardness of 1-Mean and 1-Medoid 2-Clustering Problem with Arbitrary Clusters Sizes

    Pyatkin, A. V., 2021, Mathematical Optimization Theory and Operations Research: Recent Trends - 20th International Conference, MOTOR 2021, Revised Selected Papers. Strekalovsky, A., Kochetov, Y., Gruzdeva, T. & Orlov, A. (eds.). Springer, p. 248-256 9 p. (Communications in Computer and Information Science; vol. 1476 CCIS).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  10. On Semi-Transitive Orientability of Triangle-Free Graphs

    Kitaev, S. & Pyatkin, A., 2021, In: Discussiones Mathematicae - Graph Theory.

    Research output: Contribution to journal › Article › peer-review

  11. 2020

  12. On a Routing Open Shop Problem on Two Nodes with Unit Processing Times

    Golovachev, M. O. & Pyatkin, A. V., 1 Aug 2020, In: Journal of Applied and Industrial Mathematics. 14, 3, p. 470-479 10 p.

    Research output: Contribution to journal › Article › peer-review

  13. On the Complexity of SomeMax-Min Clustering Problems

    Kel'manov, A. V., Pyatkin, A. V. & Khandeev, V. I., Aug 2020, In: Proceedings of the Steklov Institute of Mathematics. 309, SUPPL 1, p. S65-S73 9 p.

    Research output: Contribution to journal › Article › peer-review

  14. On finding minimum cardinality subset of vectors with a constraint on the sum of squared euclidean pairwise distances

    Eremeev, A. V., Kovalyov, M. Y. & Pyatkin, A. V., 1 Jul 2020, Learning and Intelligent Optimization - 14th International Conference, LION 14, 2020, Revised Selected Papers. Kotsireas, I. S. & Pardalos, P. M. (eds.). Springer Gabler, p. 40-45 6 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 12096 LNCS).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  15. Easy NP-hardness Proofs of Some Subset Choice Problems

    Pyatkin, A. V., Jul 2020, Mathematical Optimization Theory and Operations Research - 19th International Conference, MOTOR 2020, Revised Selected Papers. Kochetov, Y., Bykadorov, I. & Gruzdeva, T. (eds.). Springer, p. 70-79 10 p. (Communications in Computer and Information Science; vol. 1275 CCIS).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  16. Exact algorithms for two integer-valued problems of searching for the largest subset and longest subsequence

    Kel’manov, A., Khamidullin, S., Khandeev, V. & Pyatkin, A., 1 Mar 2020, In: Annals of Mathematics and Artificial Intelligence. 88, 1-3, p. 157-168 12 p.

    Research output: Contribution to journal › Article › peer-review

  17. Preface

    Kononov, A., Strekalovsky, A., Posypkin, M. & Pyatkin, A., 1 Mar 2020, In: Journal of Global Optimization. 76, 3, p. 453-454 2 p.

    Research output: Contribution to journal › Article › peer-review

  18. Irreducible Bin Packing: Complexity, Solvability and Application to the Routing Open Shop

    Chernykh, I. & Pyatkin, A., 22 Jan 2020, Learning and Intelligent Optimization - 13th International Conference, LION 13, Revised Selected Papers. Matsatsinis, N. F., Marinakis, Y. & Pardalos, P. (eds.). Springer Gabler, p. 106-120 15 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 11968 LNCS).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  19. On the Complexity of Some Quadratic Euclidean Partition Problems into Balanced Clusters

    Kel’manov, A., Khandeev, V. & Pyatkin, A., 1 Jan 2020, Optimization and Applications - 10th International Conference, OPTIMA 2019, Revised Selected Papers. Jaćimović, M., Khachay, M., Malkova, V. & Posypkin, M. (eds.). Springer Gabler, p. 127-136 10 p. (Communications in Computer and Information Science; vol. 1145 CCIS).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  20. Complexity of Some Problems of Quadratic Partitioning of a Finite Set of Points in Euclidean Space into Balanced Clusters

    Kel’manov, A. V., Pyatkin, A. V. & Khandeev, V. I., Jan 2020, In: Computational Mathematics and Mathematical Physics. 60, 1, p. 163-170 8 p.

    Research output: Contribution to journal › Article › peer-review

  21. 2019

  22. The maximum number of induced open triangles in graphs of a given order

    Pyatkin, A., Lykhovyd, E. & Butenko, S., 1 Nov 2019, In: Optimization Letters. 13, 8, p. 1927-1935 9 p.

    Research output: Contribution to journal › Article › peer-review

  23. NP-hardness of quadratic euclidean 1-mean and 1-median 2-clustering problem with constraints on the cluster sizes

    Kel’manov, A. V., Pyatkin, A. V. & Khandeev, V. I., Nov 2019, In: Doklady Mathematics. 100, 3, p. 545-548 4 p.

    Research output: Contribution to journal › Article › peer-review

  24. NP-Completeness of Some Problems of Partitioning a Finite Set of Points in Euclidean Space into Balanced Clusters

    Kel’manov, A. V., Pyatkin, A. V. & Khandeev, V. I., 1 Sept 2019, In: Doklady Mathematics. 100, 2, p. 416-419 4 p.

    Research output: Contribution to journal › Article › peer-review

  25. On a list (k, l)-coloring of incidentors in multigraphs of even degree for some values of k and l

    Pyatkin, A. V. E., 20 May 2019, In: Trudy Instituta Matematiki i Mekhaniki UrO RAN. 25, 2, p. 177-184 8 p.

    Research output: Contribution to journal › Article › peer-review

  26. An algorithm with parameterized complexity of constructing the optimal schedule for the routing open shop problem with unit execution times

    van Bevern, R. A., Pyatkin, A. V. & Sevastyanov, S., 1 Jan 2019, In: Сибирские электронные математические известия. 16, p. 42-84 43 p.

    Research output: Contribution to journal › Article › peer-review

  27. An Exact algorithm of searching for the largest size cluster in an integer sequence 2-clustering problem

    Kel’manov, A., Khamidullin, S., Khandeev, V. & Pyatkin, A., 1 Jan 2019, Optimization and Applications - 9th International Conference, OPTIMA 2018, Revised Selected Papers. Kochetov, Y., Khachay, M., Evtushenko, Y., Malkova, V., Posypkin, M. & Jacimovic, M. (eds.). Springer, p. 131-143 13 p. (Communications in Computer and Information Science; vol. 974).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  28. Exact algorithms for two quadratic euclidean problems of searching for the largest subset and longest subsequence

    Kel’manov, A., Khamidullin, S., Khandeev, V. & Pyatkin, A., 1 Jan 2019, Learning and Intelligent Optimization - 12th International Conference, LION 12, Revised Selected Papers. Springer, p. 326-336 11 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 11353 LNCS).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  29. Maximum diversity problem with squared euclidean distance

    Eremeev, A. V., Kel’manov, A. V., Kovalyov, M. Y. & Pyatkin, A. V., 1 Jan 2019, Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings. Khachay, M., Pardalos, P. & Kochetov, Y. (eds.). Springer, p. 541-551 11 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 11548 LNCS).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  30. NP-hardness of some max-min clustering problems

    Kel’manov, A., Khandeev, V. & Pyatkin, A., 1 Jan 2019, Optimization and Applications - 9th International Conference, OPTIMA 2018, Revised Selected Papers. Kochetov, Y., Khachay, M., Evtushenko, Y., Malkova, V., Posypkin, M. & Jacimovic, M. (eds.). Springer, p. 144-154 11 p. (Communications in Computer and Information Science; vol. 974).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  31. On the Complexity of Some Problems of Searching for a Family of Disjoint Clusters

    Kel’manov, A. V., Pyatkin, A. V. & Khandeev, V. I., 1 Jan 2019, In: Doklady Mathematics. 99, 1, p. 52-56 5 p.

    Research output: Contribution to journal › Article › peer-review

  32. Quadratic Euclidean 1-Mean and 1-Median 2-Clustering Problem with constraints on the size of the clusters: Complexity and approximability

    Kel'manov, A. V. E., Pyatkin, A. V. E. & Khandeev, V. I. I., 1 Jan 2019, In: Trudy Instituta Matematiki i Mekhaniki UrO RAN. 25, 4, p. 69-78 10 p.

    Research output: Contribution to journal › Article › peer-review

  33. Routing open shop with two nodes, unit processing times and equal number of jobs and machines

    Golovachev, M. & Pyatkin, A. V., 1 Jan 2019, Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings. Khachay, M., Pardalos, P. & Kochetov, Y. (eds.). Springer, p. 264-276 13 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 11548 LNCS).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  34. 2018

  35. An Exact Algorithm of Searching for the Largest Cluster in an Integer-Valued Problem of 2-Partitioning a Sequence

    Kel’manov, A. V., Khamidullin, S. A., Khandeev, V. I. & Pyatkin, A. V., 1 Oct 2018, In: Pattern Recognition and Image Analysis. 28, 4, p. 703-711 9 p.

    Research output: Contribution to journal › Article › peer-review

  36. On the representation number of a crown graph

    Glen, M., Kitaev, S. & Pyatkin, A., 31 Jul 2018, In: Discrete Applied Mathematics. 244, p. 89-93 5 p.

    Research output: Contribution to journal › Article › peer-review

  37. A Polynomial-Time Approximation Algorithm for One Problem Simulating the Search in a Time Series for the Largest Subsequence of Similar Elements

    Kel’manov, A. V., Khamidullin, S. A., Khandeev, V. I., Pyatkin, A. V., Shamardin, Y. V. & Shenmaier, V. V., 1 Jul 2018, In: Pattern Recognition and Image Analysis. 28, 3, p. 363-370 8 p.

    Research output: Contribution to journal › Article › peer-review

  38. NP-Hardness of Some Euclidean Problems of Partitioning a Finite Set of Points

    Kel’manov, A. V. & Pyatkin, A. V., 1 May 2018, In: Computational Mathematics and Mathematical Physics. 58, 5, p. 822-826 5 p.

    Research output: Contribution to journal › Article › peer-review

  39. Word-Representable Graphs: a Survey

    Kitaev, S. V. & Pyatkin, A. V., 1 Apr 2018, In: Journal of Applied and Industrial Mathematics. 12, 2, p. 278-296 19 p.

    Research output: Contribution to journal › Article › peer-review

  40. An approximation polynomial algorithm for a problem of searching for the longest subsequence in a finite sequence of points in euclidean space

    Kel’manov, A., Pyatkin, A., Khamidullin, S., Khandeev, V., Shamardin, Y. V. & Shenmaier, V., 1 Jan 2018, Optimization Problems and Their Applications - 7th International Conference, OPTA 2018, Revised Selected Papers. Springer, p. 120-130 11 p. (Communications in Computer and Information Science; vol. 871).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  41. On finding maximum cardinality subset of vectors with a constraint on normalized squared length of vectors sum

    Eremeev, A. V., Kelmanov, A. V., Pyatkin, A. V. & Ziegler, I. A., 1 Jan 2018, Analysis of Images, Social Networks and Texts - 6th International Conference, AIST 2017, Revised Selected Papers. VanDerAalst, WMP., Ignatov, DI., Khachay, M., Kuznetsov, SO., Lempitsky, Lomazova, IA., Loukachevitch, N., Napoli, A., Panchenko, A., Pardalos, PM., Savchenko, AV. & Wasserman, S. (eds.). Springer, p. 142-151 10 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 10716 LNCS).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  42. 2017

  43. 1/2-Approximation polynomial-time algorithm for a problem of searching a subset

    Ageev, A., Kel'Manov, A., Pyatkin, A., Khamidullin, S. & Shenmaier, V., 14 Nov 2017, Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017. Institute of Electrical and Electronics Engineers Inc., p. 8-12 5 p. 8109827

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  44. NP-Hardness of balanced minimum sum-of-squares clustering

    Pyatkin, A., Aloise, D. & Mladenović, N., 1 Oct 2017, In: Pattern Recognition Letters. 97, p. 44-45 2 p.

    Research output: Contribution to journal › Article › peer-review

  45. On (1,l)-coloring of incidentors of multigraphs

    Golovachev, M. O. & Pyatkin, A. V., 1 Oct 2017, In: Journal of Applied and Industrial Mathematics. 11, 4, p. 514-520 7 p.

    Research output: Contribution to journal › Article › peer-review

  46. Approximation polynomial algorithm for the data editing and data cleaning problem

    Ageeva, A. A., Kel’manov, A. V., Pyatkin, A. V., Khamidullin, S. A. & Shenmaier, V. V., 1 Jul 2017, In: Pattern Recognition and Image Analysis. 27, 3, p. 365-370 6 p.

    Research output: Contribution to journal › Article › peer-review

  47. Approximation algorithm for a quadratic euclidean problem of searching a subset with the largest cardinality

    Ageev, A. A., Kel'Manov, A. V., Pyatkin, A. V., Khamidullin, S. A. & Shenmaier, V. V., 1 Jan 2017, In: CEUR Workshop Proceedings. 1987, p. 19-23 5 p.

    Research output: Contribution to journal › Conference article › peer-review

  48. On complexity of searching a subset of vectors with shortest average under a cardinality restriction

    Eremeev, A. V., Kel’Manov, A. V. & Pyatkin, A. V., 1 Jan 2017, Analysis of Images, Social Networks and Texts - 5th International Conference, AIST 2016, Revised Selected Papers. Ignatov, DI., Khachay, MY., Labunets, VG., Loukachevitch, N., Nikolenko, SI., Panchenko, A., Savchenko, AV. & Vorontsov, K. (eds.). Springer, p. 51-57 7 p. (Communications in Computer and Information Science; vol. 661).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  49. On list incidentor (k, l)-coloring

    Vasil’eva, E. I. & Pyatkin, A. V., 1 Jan 2017, In: Journal of Applied and Industrial Mathematics. 11, 1, p. 125-129 5 p.

    Research output: Contribution to journal › Article › peer-review

  50. On some finite set clustering problems in euclidean space

    Kel'Manov, A. & Pyatkin, A., 1 Jan 2017, In: CEUR Workshop Proceedings. 1987, p. 310-315 6 p.

    Research output: Contribution to journal › Conference article › peer-review

  51. 2016

  52. Completing partial schedules for open shop with unit processing times and routing

    Van Bevern, R. & Pyatkin, A. V., 1 Jan 2016, Computer Science - Theory and Applications - 11th International Computer Science Symposium in Russia, CSR 2016, Proceedings. Woeginger, G. J. & Kulikov, A. S. (eds.). Springer, p. 73-87 15 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 9691).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

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