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» Packing d-degenerate graphs
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SODA
2012
ACM
253views Algorithms» more  SODA 2012»
11 years 9 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
ICALP
2010
Springer
13 years 9 months ago
Covering and Packing in Linear Space
Abstract. Given a family of subsets of an n-element universe, the kcover problem asks whether there are k sets in the family whose union contains the universe; in the k-packing pro...
Andreas Björklund, Thore Husfeldt, Petteri Ka...
ICALP
2001
Springer
13 years 12 months ago
Improved Lower Bounds on the Randomized Complexity of Graph Properties
We prove a lower bound of (n4/3 log1/3 n) on the randomized decision tree complexity of any nontrivial monotone n-vertex graph property, and of any nontrivial monotone bipartite g...
Amit Chakrabarti, Subhash Khot
CORR
2008
Springer
95views Education» more  CORR 2008»
13 years 7 months ago
The Plane-Width of Graphs
Map vertices of a graph to (not necessarily distinct) points of the plane so that two adjacent vertices are mapped at least a unit distance apart. The plane-width of a graph is th...
Marcin Kaminski, Paul Medvedev, Martin Milanic
DC
2011
12 years 7 months ago
Distributed algorithms for covering, packing and maximum weighted matching
Abstract This paper gives poly-logarithmic-round, distributed δ-approximation algorithms for covering problems with submodular cost and monotone covering constraints (Submodular-c...
Christos Koufogiannakis, Neal E. Young