permanents, multidimensional matrices, graphs and hypergraphs, transversals, latin squares and hypercubes, perfect colorings
Subject:
discrete mathematics and combinatorics, linear algebra, multidimensional matrices and tensors
Main publications:
Taranenko A. A., “Multidimensional Permanents and an Upper Bound on the Number of Transversals in Latin Squares”, J. Combin. Designs, 23 (2015), 305-320
A. A. Taranenko, “Permanenty mnogomernykh matrits: svoistva i prilozheniya”, Diskretn. analiz i issled. oper., 23:4 (2016), 35–101; J. Appl. Industr. Math., 10:4 (2016), 567–604
Taranenko A. A., “Transversals, near transversals, and diagonals in iterated groups and quasigroups”, Electronic J. Combin., 28:3 (2021), #P3.48
S. O. Borodin, A. A. Taranenko, “Perfect colorings of submatrix hypergraphs”, Diskretn. Anal. Issled. Oper., 31:3 (2024), 54–78; J. Appl. Industr. Math., 18:3 (2024), 424–440
2.
A. A. Taranenko, “Products of multidimensional matrices, stochastic matrices, and permanents”, Sib. Èlektron. Mat. Izv., 21:1 (2024), 228–246
2023
3.
A. A. Taranenko, “Multidimensional threshold matrices and extremal matrices of order $2$”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 1052–1063
2022
4.
A. E. Guterman, I. M. Evseev, A. A. Taranenko, “Values of the permanent function on multidimensional $(0,1)$-matrices”, Sibirsk. Mat. Zh., 63:2 (2022), 316–333; Siberian Math. J., 63:2 (2022), 262–276
A. A. Taranenko, “On a metric property of perfect colorings”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 640–646
2017
6.
A. A. Taranenko, “On the Number of Transversals in $n$-Ary Quasigroups of Order 4”, Mat. Zametki, 101:5 (2017), 798–800; Math. Notes, 101:5 (2017), 919–921
2016
7.
A. A. Taranenko, “Permanents of multidimensional matrices: properties and applications”, Diskretn. Anal. Issled. Oper., 23:4 (2016), 35–101; J. Appl. Industr. Math., 10:4 (2016), 567–604
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