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» On the Topology of Discrete Strategies
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COMPGEOM
2004
ACM
14 years 2 months ago
Time-varying reeb graphs for continuous space-time data
The Reeb graph is a useful tool in visualizing real-valued data obtained from computational simulations of physical processes. We characterize the evolution of the Reeb graph of a...
Herbert Edelsbrunner, John Harer, Ajith Mascarenha...
COMPGEOM
2003
ACM
14 years 2 months ago
Morse-smale complexes for piecewise linear 3-manifolds
We define the Morse-Smale complex of a Morse function over a 3-manifold as the overlay of the descending and ascending manifolds of all critical points. In the generic case, its ...
Herbert Edelsbrunner, John Harer, Vijay Natarajan,...
FORMATS
2010
Springer
13 years 7 months ago
Combining Symbolic Representations for Solving Timed Games
We present a general approach to combine symbolic state space representations for the discrete and continuous parts in the synthesis of winning strategies for timed reachability ga...
Rüdiger Ehlers, Robert Mattmüller, Hans-...
COMPGEOM
2010
ACM
14 years 1 months ago
The complexity of the normal surface solution space
Normal surface theory is a central tool in algorithmic threedimensional topology, and the enumeration of vertex normal surfaces is the computational bottleneck in many important a...
Benjamin A. Burton
IWANN
2009
Springer
14 years 3 months ago
On the Bond Graphs in the Delaunay-Tetrahedra of the Simplicial Decomposition of Spatial Protein Structures
The examination of straightforwardly definable discrete structures in nucleic acids and proteins turned out to be perhaps the most important development in our present knowledge a...
Rafael Ördög, Vince Grolmusz