21
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Chernykh I.
, Pyatkin A.
Irreducible bin packing and normality in routing open shop
Annals of Mathematics and Artificial Intelligence. 2021.
V.89. N8-9. P.899-918. DOI: 10.1007/s10472-021-09759-x
WOS
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22
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Kel’manov A.V.
, Pyatkin A.V.
, Khandeev V.I.
Quadratic Euclidean 1-Mean and 1-Median 2-Clustering Problem with Constraints on the Size of the Clusters: Complexity and Approximability
Proceedings of the Steklov Institute of Mathematics. 2021.
V.313. NS1. P.S117-S124. DOI: 10.1134/s0081543821030123
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23
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Pyatkin A.V.
NP-Hardness of 1-Mean and 1-Medoid 2-Clustering Problem with Arbitrary Clusters Sizes
Communications in Computer and Information Science. 2021.
P.248-256. DOI: 10.1007/978-3-030-86433-0_17
Scopus
OpenAlex
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24
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Chernykh I.
, Pyatkin A.
Irreducible Bin Packing: Complexity, Solvability and Application to the Routing Open Shop
Lecture Notes in Computer Science. 2020.
P.106-120. DOI: 10.1007/978-3-030-38629-0_9
Scopus
OpenAlex
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25
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Kel’manov A.V.
, Pyatkin A.V.
, Khandeev V.I.
On the Complexity of SomeMax–Min Clustering Problems
Proceedings of the Steklov Institute of Mathematics. 2020.
V.309. NS1. P.S65-S73. DOI: 10.1134/s0081543820040082
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Scopus
OpenAlex
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26
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Kel’manov A.V.
, Pyatkin A.V.
, Khandeev V.I.
NP-Hardness of Quadratic Euclidean 1-Mean and 1-Median 2-Clustering Problem with Constraints on the Cluster Sizes
Doklady Mathematics. 2020.
V.100. N3. P.545-548. DOI: 10.1134/s1064562419060127
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OpenAlex
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27
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Kel’manov A.V.
, Pyatkin A.V.
, Khandeev V.I.
Complexity of Some Problems of Quadratic Partitioning of a Finite Set of Points in Euclidean Space into Balanced Clusters
Computational Mathematics and Mathematical Physics. 2020.
V.60. N1. P.163-170. DOI: 10.1134/s096554251911006x
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28
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Eremeev A.V.
, Kovalyov M.Y.
, Pyatkin A.V.
On Finding Minimum Cardinality Subset of Vectors with a Constraint on the Sum of Squared Euclidean Pairwise Distances
Lecture Notes in Computer Science. 2020.
P.40-45. DOI: 10.1007/978-3-030-53552-0_6
Scopus
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29
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Kel’manov A.
, Khandeev V.
, Pyatkin A.
On the Complexity of Some Quadratic Euclidean Partition Problems into Balanced Clusters
Communications in Computer and Information Science. 2020.
P.127-136. DOI: 10.1007/978-3-030-38603-0_10
Scopus
OpenAlex
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30
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Kononov A.
, Strekalovsky A.
, Posypkin M.
, Pyatkin A.
Preface
Journal of Global Optimization. 2020.
V.76. N3. P.453-454. DOI: 10.1007/s10898-020-00887-y
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31
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Golovachev M.O.
, Pyatkin A.V.
On a Routing Open Shop Problem on Two Nodes with Unit Processing Times
Journal of Applied and Industrial Mathematics. 2020.
V.14. N3. P.470-479. DOI: 10.1134/s1990478920030060
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32
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Pyatkin A.V.
Easy NP-hardness Proofs of Some Subset Choice Problems
Communications in Computer and Information Science. 2020.
P.70-79. DOI: 10.1007/978-3-030-58657-7_8
Scopus
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33
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Bevern R.A.v.
, Pyatkin A.V.
, Sevastyanov S.V.
An algorithm with parameterized complexity of constructing the optimal schedule for the routing open shop problem with unit execution times
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2019.
V.16. P.42-84. DOI: 10.33048/semi.2019.16.003
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34
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Kel’manov A.V.
, Pyatkin A.V.
, Khandeev V.I.
On the Complexity of Some Problems of Searching for a Family of Disjoint Clusters
Doklady Mathematics. 2019.
V.99. N1. P.52-56. DOI: 10.1134/s1064562419010162
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35
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Kel’manov A.
, Khamidullin S.
, Khandeev V.
, Pyatkin A.
An Exact Algorithm of Searching for the Largest Size Cluster in an Integer Sequence 2-Clustering Problem
Communications in Computer and Information Science. 2019.
P.131-143. DOI: 10.1007/978-3-030-10934-9_10
Scopus
OpenAlex
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36
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Eremeev A.V.
, Kel’manov A.V.
, Kovalyov M.Y.
, Pyatkin A.V.
Maximum Diversity Problem with Squared Euclidean Distance
Lecture Notes in Computer Science. 2019.
P.541-551. DOI: 10.1007/978-3-030-22629-9_38
Scopus
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37
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Пяткин А.В.
О предписанной (k, l)-раскраске инциденторов мультиграфов четной степени при некоторых значениях k и l
Труды Института математики и механики УрО РАН (Trudy Instituta Matematiki i Mekhaniki UrO RAN). 2019.
Т.25. №2. С.177-184. DOI: 10.21538/0134-4889-2019-25-2-177-184
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38
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Kel’manov A.V.
, Pyatkin A.V.
, Khandeev V.I.
NP-Completeness of Some Problems of Partitioning a Finite Set of Points in Euclidean Space into Balanced Clusters
Doklady Mathematics. 2019.
V.100. N2. P.416-419. DOI: 10.1134/s1064562419050028
WOS
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OpenAlex
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39
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Kel’manov A.
, Khandeev V.
, Pyatkin A.
NP-hardness of Some Max-Min Clustering Problems
Communications in Computer and Information Science. 2019.
P.144-154. DOI: 10.1007/978-3-030-10934-9_11
Scopus
OpenAlex
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40
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Kel’manov A.
, Khamidullin S.
, Khandeev V.
, Pyatkin A.
Exact algorithms for two integer-valued problems of searching for the largest subset and longest subsequence
Annals of Mathematics and Artificial Intelligence. 2019.
V.88. N1-3. P.157-168. DOI: 10.1007/s10472-019-09623-z
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