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» Kernelization of packing problems
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SODA
2012
ACM
253views Algorithms» more  SODA 2012»
11 years 8 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
ESA
2004
Springer
103views Algorithms» more  ESA 2004»
13 years 11 months ago
Faster Fixed-Parameter Tractable Algorithms for Matching and Packing Problems
Abstract. We obtain faster algorithms for problems such as rdimensional matching, r-set packing, graph packing, and graph edge packing when the size k of the solution is considered...
Michael R. Fellows, Christian Knauer, Naomi Nishim...
ICALP
2007
Springer
13 years 11 months ago
Linear Problem Kernels for NP-Hard Problems on Planar Graphs
Abstract. We develop a generic framework for deriving linear-size problem kernels for NP-hard problems on planar graphs. We demonstrate the usefulness of our framework in several c...
Jiong Guo, Rolf Niedermeier
APPROX
2009
Springer
177views Algorithms» more  APPROX 2009»
14 years 2 days ago
Improved Absolute Approximation Ratios for Two-Dimensional Packing Problems
Abstract. We consider the two-dimensional bin packing and strip packing problem, where a list of rectangles has to be packed into a minimal number of rectangular bins or a strip of...
Rolf Harren, Rob van Stee