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- Jakub Cerný, Jan Kyncl, Géza Tóth
- Graph Drawing
- 2007

We prove that the crossing number of a graph decays in a " continuous fashion " in the following sense. For any ε > 0 there is a δ > 0 such that for a sufficiently large n, every graph G with n vertices and m ≥ n 1+ε edges, has a subgraph G ′ of at most (1 − δ)m edges and crossing number at least (1 − ε)cr(G). This generalizes the result of J. Fox and Cs.… (More)

- Jakub Cerný
- Eur. J. Comb.
- 2008

Let X be a set of points in general position in the plane. General position means that no three points lie on a line and no two points have the same x-coordinate. Y ⊆ X is a cup, resp. cap, if the points of Y lie on the graph of a convex, resp. concave function. Denote the points of Y by p 1 , p 2 ,. .. , p m according to the increasing x-coordinate. The… (More)

- Jakub Cerný
- Discrete & Computational Geometry
- 2005

- Jakub Cerný, Zdenek Dvorak, Vít Jelínek, Jan Kára
- Graph Drawing
- 2003

- Henning Bruhn, Jakub Cerný, Alexander Hall, Petr Kolman
- SODA
- 2007

For an integer <i>h</i> ≥ 1, an <i>elementary h-route flow</i> is a flow along <i>h</i> edge disjoint paths between a source and a sink, each path carrying a unit of flow, and a single commodity <i>h-route flow</i> is a non-negative linear combination of elementary <i>h</i>-flows. An instance of a <i>single source multicommodity flow problem</i> for a… (More)

- Jakub Cerný
- Electronic Notes in Discrete Mathematics
- 2007

- Jakub Cerný, Daniel Král, Helena Nyklová, Ondrej Pangrác
- Graph Drawing
- 2001

- Zdeněk Szczyrba, Viktor Mravčík, David Fiedor, Jakub Černý, Irena Smolová
- Addiction
- 2015

AIM
To provide an overview of gambling and associated problems in the Czech Republic, including an overview of the historical context, legislation, prevalence, treatment and research base and agenda.
METHODS
A review of literature and relevant sources.
RESULTS
The trajectory of gambling patterns in the territory of the Czech Republic in the 20th century… (More)

For an integer h ≥ 1, an elementary h-route flow is a flow along h edge disjoint paths between a source and a sink, each path carrying a unit of flow, and a single commodity h-route flow is a non-negative linear combination of elementary h-route flows. An instance of a single source multicommodity flow problem for a In the single source multicommodity… (More)

- J. Černý
- 2005

For a vector field a = ∂J, where J is a convex, coercive and differentiable function on IR N without any growth conditions, we define generalized solution for the nonlinear elliptic equation −div a(∇u) = f in Ω, u = 0 on ∂Ω where Ω is a smooth bounded domain in IR N and f ∈ L 1 (Ω). We prove existence of a generalized solution and show that this solution is… (More)