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» Crossing Numbers and Parameterized Complexity
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PG
2007
IEEE
13 years 11 months ago
Genus Oblivious Cross Parameterization: Robust Topological Management of Inter-Surface Maps
We consider the problem of generating a map between two triangulated meshes, M and M’, with arbitrary and possibly differing genus. This problem has rarely been tackled in its g...
Janine Bennett, Valerio Pascucci, Kenneth I. Joy
ESA
2008
Springer
127views Algorithms» more  ESA 2008»
13 years 7 months ago
The Alcuin Number of a Graph
We consider a planning problem that generalizes Alcuin's river crossing problem (also known as: The wolf, goat, and cabbage puzzle) to scenarios with arbitrary conflict graph...
Péter Csorba, Cor A. J. Hurkens, Gerhard J....
COLT
1993
Springer
13 years 9 months ago
Bounding the Vapnik-Chervonenkis Dimension of Concept Classes Parameterized by Real Numbers
The Vapnik-Chervonenkis (V-C) dimension is an important combinatorial tool in the analysis of learning problems in the PAC framework. For polynomial learnability, we seek upper bou...
Paul W. Goldberg, Mark Jerrum
CIE
2007
Springer
13 years 11 months ago
The Complexity Ecology of Parameters: An Illustration Using Bounded Max Leaf Number
In the framework of parameterized complexity, exploring how one parameter affects the complexity of a different parameterized (or unparameterized problem) is of general interest....
Michael R. Fellows, Frances A. Rosamond
ISAAC
2007
Springer
141views Algorithms» more  ISAAC 2007»
13 years 11 months ago
Algorithms for the Hypergraph and the Minor Crossing Number Problems
Abstract. We consider the problems of hypergraph and minor crossing minimization, and point out a relation between these two problems which has not been exploited before. We presen...
Markus Chimani, Carsten Gutwenger