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pro vyhledávání: '"Dmitry S. Malyshev"'
Publikováno v:
Optimization Letters.
Autor:
D. B. Mokeev, Dmitry S. Malyshev
Publikováno v:
Optimization Letters. 16:481-496
We consider graphs, which and all induced subgraphs of which possess the following property: the maximum number of disjoint paths on k vertices equals the minimum cardinality of vertex sets, covering all paths on k vertices. We call such graphs Konig
Publikováno v:
Regular and Chaotic Dynamics. 25:716-728
In this paper, we study gradient-like flows without heteroclinic intersections on an $$n$$ -sphere up to topological conjugacy. We prove that such a flow is completely defined by a bicolor tree corresponding to a skeleton formed by codimension one se
Publikováno v:
Arnold Mathematical Journal. 4:483-504
In the present paper we survey existing graph invariants for gradient-like flows on surfaces up to the topological equivalence and develop effective algorithms for their distinction (let us recall that a flow given on a surface is called a gradient-l
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 38:4305-4327
Structurally stable (rough) flows on surfaces have only finitely many singularities and finitely many closed orbits, all of which are hyperbolic, and they have no trajectories joining saddle points. The violation of the last property leads to \begin{
Publikováno v:
Turkensteen, M, Malyshec, D, Goldengorin, B & Pardalos, P M 2017, ' The reduction of computation times of upper and lower tolerances for selected combinatorial optimization problems ', Journal of Global Optimization, vol. 68, no. 3, pp. 601-622 . https://doi.org/10.1007/s10898-016-0486-5
The tolerance of an element of a combinatorial optimization problem with respect to its optimal solution is the maximum change of the cost of the element while preserving the optimality of the given optimal solution and keeping all other input data u