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» Crown Structures for Vertex Cover Kernelization
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MST
2007
154views more  MST 2007»
13 years 4 months ago
Crown Structures for Vertex Cover Kernelization
Crown structures in a graph are defined and shown to be useful in kernelization algorithms for the classic vertex cover problem. Two vertex cover kernelization methods are discus...
Faisal N. Abu-Khzam, Michael R. Fellows, Michael A...
ANTSW
2006
Springer
13 years 8 months ago
Kernelization as Heuristic Structure for the Vertex Cover Problem
Abstract. For solving combinatorial optimisation problems, exact methods accurately exploit the structure of the problem but are tractable only up to a certain size; approximation ...
Stephen Gilmour, Mark Dras
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...
TAMC
2007
Springer
13 years 11 months ago
Kernelizations for Parameterized Counting Problems
Abstract. Kernelizations are an important tool in designing fixed parameter algorithms for parameterized decision problems. We introduce an analogous notion for counting problems,...
Marc Thurley
SODA
2012
ACM
243views Algorithms» more  SODA 2012»
11 years 7 months ago
Bidimensionality and geometric graphs
Bidimensionality theory was introduced by Demaine et al. [JACM 2005 ] as a framework to obtain algorithmic results for hard problems on minor closed graph classes. The theory has ...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh