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COCO
2001
Springer
142views Algorithms» more  COCO 2001»
15 years 2 months ago
On the Complexity of Approximating the VC Dimension
We study the complexity of approximating the VC dimension of a collection of sets, when the sets are encoded succinctly by a small circuit. We show that this problem is • Σp 3-...
Elchanan Mossel, Christopher Umans
WADS
2007
Springer
140views Algorithms» more  WADS 2007»
15 years 3 months ago
A Stab at Approximating Minimum Subadditive Join
Let (L, ∗) be a semilattice, and let c : L → [0, ∞) be monotone and increasing on L. We state the Minimum Join problem as: given size n sub-collection X of L and integer k w...
Staal A. Vinterbo
ICC
2008
IEEE
130views Communications» more  ICC 2008»
15 years 4 months ago
A Polynomial-Time Approximation Algorithm for Weighted Sum-Rate Maximization in UWB Networks
— Scheduling in an ad hoc wireless network suffers from the non-convexity of the cost function, caused by the interference between communication links. In previous optimization t...
Gyouhwan Kim, Qiao Li, Rohit Negi
FOCS
2003
IEEE
15 years 3 months ago
Approximation Algorithms for Orienteering and Discounted-Reward TSP
In this paper, we give the rst constant-factor approximationalgorithmfor the rooted Orienteering problem, as well as a new problem that we call the Discounted-Reward TSP, motivate...
Avrim Blum, Shuchi Chawla, David R. Karger, Terran...
MST
2007
167views more  MST 2007»
14 years 9 months ago
The Complexity of Polynomial-Time Approximation
In 1996, Khanna and Motwani [KM96] proposed three logic-based optimization problems constrained by planar structure, and offered the hypothesis that these putatively fundamental ...
Liming Cai, Michael R. Fellows, David W. Juedes, F...