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» Crossing Numbers and Parameterized Complexity
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GD
2007
Springer
15 years 3 months ago
Crossing Numbers and Parameterized Complexity
The odd crossing number of G is the smallest number of pairs of edges that cross an odd number of times in any drawing of G. We show that there always is a drawing realizing the o...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
ESA
2001
Springer
105views Algorithms» more  ESA 2001»
15 years 2 months ago
On the Parameterized Complexity of Layered Graph Drawing
We consider graph drawings in which vertices are assigned to layers and edges are drawn as straight line-segments between vertices on adjacent layers. We prove that graphs admittin...
Vida Dujmovic, Michael R. Fellows, Michael T. Hall...
CORR
2010
Springer
162views Education» more  CORR 2010»
14 years 6 months ago
Cross-Composition: A New Technique for Kernelization Lower Bounds
We introduce a new technique for proving kernelization lower bounds, called cross-composition. A classical problem L cross-composes into a parameterized problem Q if an instance o...
Hans L. Bodlaender, Bart M. P. Jansen, Stefan Krat...
ISAAC
2007
Springer
183views Algorithms» more  ISAAC 2007»
15 years 3 months ago
The Complexity of Finding Subgraphs Whose Matching Number Equals the Vertex Cover Number
The class of graphs where the size of a minimum vertex cover equals that of a maximum matching is known as K¨onig-Egerv´ary graphs. K¨onig-Egerv´ary graphs have been studied ex...
Sounaka Mishra, Venkatesh Raman, Saket Saurabh, So...
CAGD
2008
143views more  CAGD 2008»
14 years 9 months ago
A genus oblivious approach to cross parameterization
In this paper we present a robust approach to construct a map between two triangulated meshes, M and M' of arbitrary and possibly unequal genus. We introduce a novel initial ...
Janine Bennett, Valerio Pascucci, Kenneth I. Joy