Recent publications
Article
Engel, G & Sergeev, S 2023, 'Bounding the row sum arithmetic mean by Perron roots of row-permuted matrices', Linear Algebra and its Applications, vol. 673, pp. 220-232. https://doi.org/10.1016/j.laa.2023.05.014
Sergeev, S & Kennedy-Cochran-Patrick, A 2023, 'Extending CSR decomposition to tropical inhomogenous matrix products', Electronic Journal of Linear Algebra, vol. 38, pp. 820-851. <https://journals.uwyo.edu/index.php/ela/article/view/7169/6095>
Sergeev, S & Krivulin, N 2023, 'Minimizing maximum lateness in two-stage projects by tropical optimization', Kybernetika, vol. 58, no. 5, pp. 816-841. <https://www.kybernetika.cz/content/2022/5/816/paper.pdf>
Sergeev, S & Wang, H 2022, 'Extremality criteria for the supereigenvector space in max-plus algebra', Linear Algebra and its Applications, vol. 653, pp. 116-134. https://doi.org/10.1016/j.laa.2022.08.005
Muanalifah, A & Sergeev, S 2022, 'On the tropical discrete logarithm problem and security of a protocol based on tropical semidirect product', Communications in Algebra, vol. 50, no. 2, pp. 861-879. https://doi.org/10.1080/00927872.2021.1975125
Parsons, J, Sergeev, S & Wang, H 2022, 'Tropical pseudolinear and pseudoquadratic optimization as parametric mean-payoff games', Optimization. https://doi.org/10.1080/02331934.2022.2085100
Gavalec, M, Němcová, Z & Sergeev, S 2021, '(K,L) eigenvectors in max-min algebra', Fuzzy Sets and Systems, vol. 410, pp. 75-89. https://doi.org/10.1016/j.fss.2020.07.008
Kennedy-Cochran-Patrick, A, Merlet, G, Nowak, T & Sergeev, S 2021, 'New bounds on the periodicity transient of the powers of a tropical matrix: using cyclicity and factor rank', Linear Algebra and its Applications, vol. 611, pp. 279-309. https://doi.org/10.1016/j.laa.2020.10.032
Merlet, G, Nowak, T & Sergeev, S 2021, 'On the tightness of bounds for transients of weak CSR expansions and periodicity transients of critical rows and columns of tropical matrix powers', Linear and Multilinear Algebra. https://doi.org/10.1080/03081087.2021.1878995
Muanalifah, A & Sergeev, S 2020, 'Modifying the tropical version of Stickel's key exchange protocol', Applications of Mathematics, vol. 65, no. 6, pp. 727-753. https://doi.org/10.21136/AM.2020.0325-19
Niv, A, Maccaig, M & Sergeev, S 2020, 'Optimal assignments with supervisions', Linear Algebra and its Applications, vol. 595, pp. 72-100. https://doi.org/10.1016/j.laa.2020.02.032
Kennedy-Cochran-Patrick, A, Sergeev, S & Berezny, S 2019, 'A bound for the rank-one transient of inhomogeneous matrix products in special case', Kybernetika, vol. 55, no. 1, pp. 12-23. https://doi.org/10.14736/kyb-2019-1-0012
Krivulin, N & Sergeev, S 2019, 'Tropical implementation of the Analytical Hierarchy Process decision method', Fuzzy Sets and Systems, vol. 377, pp. 31-51. https://doi.org/10.1016/j.fss.2018.10.013
Plavka, J & Sergeev, S 2018, 'Reachability of eigenspaces for interval circulant matrices in max-algebra', Linear Algebra and its Applications, vol. 550, pp. 59-86. https://doi.org/10.1016/j.laa.2018.03.041
Chapter (peer-reviewed)
Sergeev, S & Liu, Z 2019, Tropical analogues of a Dempe-Franke bilevel optimization problem. in HA Le Thi, HM Le & TP Dinh (eds), Optimization of Complex Systems: Theory, Models, Algorithms: Proceedings of the World Congress on global Optimization 2019. Advances in intelligent systems and computing, vol. 991, Springer, pp. 691-701. https://doi.org/10.1007/978-3-030-21803-4_69
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