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» The Complexity of Planar Counting Problems
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ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
14 years 1 months ago
Weighted Coloring on Planar, Bipartite and Split Graphs: Complexity and Improved Approximation
We study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-complete in planar graphs, even if they a...
Jérôme Monnot, Vangelis Th. Paschos, ...
ESA
2004
Springer
132views Algorithms» more  ESA 2004»
14 years 1 months ago
Seeking a Vertex of the Planar Matching Polytope in NC
For planar graphs, counting the number of perfect matchings (and hence determining whether there exists a perfect matching) can be done in NC [4, 10]. For planar bipartite graphs, ...
Raghav Kulkarni, Meena Mahajan
COCO
2006
Springer
113views Algorithms» more  COCO 2006»
13 years 11 months ago
On the Complexity of Numerical Analysis
We study two quite different approaches to understanding the complexity of fundamental problems in numerical analysis. We show that both hinge on the question of understanding the...
Eric Allender, Peter Bürgisser, Johan Kjeldga...
PAMI
2011
12 years 10 months ago
Decomposition of Complex Line Drawings with Hidden Lines for 3D Planar-Faced Manifold Object Reconstruction
—3D object reconstruction from a single 2D line drawing is an important problem in computer vision. Many methods have been presented to solve this problem, but they usually fail ...
Jianzhuang Liu, Yu Chen, Xiaoou Tang
GECCO
2006
Springer
157views Optimization» more  GECCO 2006»
13 years 11 months ago
How randomized search heuristics find maximum cliques in planar graphs
Surprisingly, general search heuristics often solve combinatorial problems quite sufficiently, although they do not outperform specialized algorithms. Here, the behavior of simple...
Tobias Storch