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» Kernelization of packing problems
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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
ESA
2004
Springer
103views Algorithms» more  ESA 2004»
13 years 10 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»
13 years 11 months 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