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  1. Article

    Open Access

    Science with a Small Two-Band UV-Photometry Mission II: Observations of Stars and Stellar Systems

    We outline the impact of a small two-band UV-photometry satellite mission on the field of stellar physics, magnetospheres of stars, binaries, stellar clusters, interstellar matter, and exoplanets. On specific ...

    Jiří Krtička, Jan Benáček, Jan Budaj, Daniela Korčáková in Space Science Reviews (2024)

  2. No Access

    Article

    The Complexity of Equality Constraint Languages

    We classify the computational complexity of all constraint satisfaction problems where the constraint language is preserved by all permutations of the domain. A constraint language is preserved by all permuta...

    Manuel Bodirsky, Jan Kára in Theory of Computing Systems (2008)

  3. Chapter and Conference Paper

    Clustered Planarity: Small Clusters in Eulerian Graphs

    We present several polynomial-time algorithms for c-planarity testing for clustered graphs with clusters of size at most three. The most general result concerns a special class of Eulerian graphs, namely graph...

    Eva Jelínková, Jan Kára, Jan Kratochvíl, Martin Pergel, Ondřej Suchý in Graph Drawing (2008)

  4. No Access

    Chapter and Conference Paper

    Maximal Infinite-Valued Constraint Languages

    We systematically investigate the computational complexity of constraint satisfaction problems for constraint languages over an infinite domain. In particular, we study a generalization of the wellestablished ...

    Manuel Bodirsky, Hubie Chen, Jan Kára in Automata, Languages and Programming (2007)

  5. No Access

    Article

    Free binary decision diagrams for the computation of EAR n

    Free binary decision diagrams (FBDDs) are graph-based data structures representing Boolean functions with the constraint (additional to binary decision diagram) that each variable is tested at most once during...

    Jan Kára, Daniel Král’ in computational complexity (2006)

  6. No Access

    Chapter and Conference Paper

    Fixed Parameter Tractability of Independent Set in Segment Intersection Graphs

    We present a fixed parameter tractable algorithm for the Independent Set problem in 2-dir graphs and also its generalization to d -dir graphs. A graph belongs to the class of d ...

    Jan Kára, Jan Kratochvíl in Parameterized and Exact Computation (2006)

  7. No Access

    Chapter and Conference Paper

    The Complexity of Equality Constraint Languages

    We apply the algebraic approach to infinite-valued constraint satisfaction to classify the computational complexity of all constraint satisfaction problems with templates that have a highly transitive automorp...

    Manuel Bodirsky, Jan Kára in Computer Science – Theory and Applications (2006)

  8. Article

    On the Chromatic Number of the Visibility Graph of a Set of Points in the Plane

    The visibility graph V(P) of a point set P \subseteq R2 has vertex set P, such that two points v,w ∈ P are adjacent whenever there is no other point in P on the line segment between v and w. We study the chromati...

    Jan Kára, Attila Pór, David R. Wood in Discrete & Computational Geometry (2005)

  9. No Access

    Chapter and Conference Paper

    On the Complexity of the Balanced Vertex Ordering Problem

    We consider the problem of finding a balanced ordering of the vertices of a graph. More precisely, we want to minimise the sum, taken over all vertices v, of the difference between the number of neighbours to the...

    Jan Kára, Jan Kratochvíl, David R. Wood in Computing and Combinatorics (2005)

  10. No Access

    Chapter and Conference Paper

    An Algorithm for Cyclic Edge Connectivity of Cubic Graphs

    The cyclic edge connectivity is the size of a smallest edge cut in a graph such that at least two of the connected components contain cycles. We present an algorithm running in time O(n 2l...

    Zdeněk Dvořák, Jan Kára, Daniel Král’, Ondřej Pangrác in Algorithm Theory - SWAT 2004 (2004)

  11. Chapter and Conference Paper

    Noncrossing Hamiltonian Paths in Geometric Graphs

    A geometric graph is a graph embedded in the plane in such a way that vertices correspond to points in general position and edges correspond to segments connecting the appropriate points. A noncrossing Hamilto...

    Jakub Černý, Zdeněk Dvořák, Vít Jelínek, Jan Kára in Graph Drawing (2004)

  12. No Access

    Chapter and Conference Paper

    Optimal Free Binary Decision Diagrams for Computation of EARn

    Free binary decision diagrams (FBDDs) are graph-based data structures representing Boolean functions with a constraint (additional to binary decision diagrams) that each variable is tested during the computati...

    Jan Kára, Daniel Král’ in Mathematical Foundations of Computer Science 2002 (2002)

  13. No Access

    Chapter and Conference Paper

    Complexity of Pattern Coloring of Cycle Systems

    A k-cycle system is a system of cyclically ordered k-tuples of a finite set. A pattern is a sequence of letters. A coloring of a k-cycle system with respect to a set of patterns of length k is proper iff each cyc...

    Zdeněk Dvořák, Jan Kára, Daniel Král' in Graph-Theoretic Concepts in Computer Scien… (2002)