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» Parametric Duality and Kernelization: Lower Bounds and Upper...
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TAPAS
2011
255views Algorithms» more  TAPAS 2011»
12 years 11 months ago
3-hitting set on Bounded Degree Hypergraphs: Upper and Lower Bounds on the Kernel Size
We study upper and lower bounds on the kernel size for the 3-hitting set problem on hypergraphs of degree at most 3, denoted 33-hs. We first show that, unless P=NP, 3-3-hs on 3-un...
Iyad A. Kanj, Fenghui Zhang
IWPEC
2009
Springer
13 years 11 months ago
A Probabilistic Approach to Problems Parameterized above or below Tight Bounds
We introduce a new approach for establishing fixed-parameter tractability of problems parameterized above tight lower bounds or below tight upper bounds. To illustrate the approac...
Gregory Gutin, Eun Jung Kim, Stefan Szeider, Ander...
SODA
2012
ACM
253views Algorithms» more  SODA 2012»
11 years 7 months ago
Kernelization of packing problems
Kernelization algorithms are polynomial-time reductions from a problem to itself that guarantee their output to have a size not exceeding some bound. For example, d-Set Matching f...
Holger Dell, Dániel Marx