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» Bounding the Size of k-Tuple Covers
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ESA
2010
Springer
140views Algorithms» more  ESA 2010»
14 years 10 months ago
A Robust PTAS for Machine Covering and Packing
Abstract. Minimizing the makespan or maximizing the minimum machine load are two of the most important and fundamental parallel machine scheduling problems. In an online scenario, ...
Martin Skutella, José Verschae
SODA
2004
ACM
144views Algorithms» more  SODA 2004»
14 years 11 months ago
Covering minimum spanning trees of random subgraphs
We consider the problem of finding a sparse set of edges containing the minimum spanning tree (MST) of a random subgraph of G with high probability. The two random models that we ...
Michel X. Goemans, Jan Vondrák
DM
2007
78views more  DM 2007»
14 years 9 months ago
Properties of vertex cover obstructions
We study properties of the sets of minimal forbidden minors for the families of graphs having a vertex cover of size at most k. We denote this set by O(k-VERTEX COVER) and call it...
Michael J. Dinneen, Rongwei Lai
SODA
2012
ACM
253views Algorithms» more  SODA 2012»
13 years 6 days 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
COMPGEOM
2009
ACM
15 years 4 months ago
Epsilon nets and union complexity
We consider the following combinatorial problem: given a set of n objects (for example, disks in the plane, triangles), and an integer L ≥ 1, what is the size of the smallest su...
Kasturi R. Varadarajan