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» Crossing Numbers and Parameterized Complexity
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GD
2007
Springer
13 years 11 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»
13 years 9 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»
13 years 1 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»
13 years 11 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»
13 years 4 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