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ICALP
2004
Springer
15 years 5 months ago
The Minimum-Entropy Set Cover Problem
We study graph orientations that minimize the entropy of the in-degree sequence. The problem of finding such an orientation is an interesting special case of the minimum entropy ...
Eran Halperin, Richard M. Karp
COCOON
2005
Springer
15 years 5 months ago
A PTAS for a Disc Covering Problem Using Width-Bounded Separators
In this paper, we study the following disc covering problem: Given a set of discs of various radii on the plane, find a subset of discs to maximize the area covered by exactly on...
Zhixiang Chen, Bin Fu, Yong Tang, Binhai Zhu
CEC
2008
IEEE
15 years 6 months ago
Analysis of population-based evolutionary algorithms for the vertex cover problem
— Recently it has been proved that the (1+1)-EA produces poor worst-case approximations for the vertex cover problem. In this paper the result is extended to the (1+λ)-EA by pro...
Pietro Simone Oliveto, Jun He, Xin Yao
COMBINATORICS
2006
147views more  COMBINATORICS 2006»
14 years 11 months ago
A Survey on Packing and Covering Problems in the Hamming Permutation Space
Consider the symmetric group Sn equipped with the Hamming metric dH . Packing and covering problems in the finite metric space (Sn, dH ) are surveyed, including a combination of b...
Jörn Quistorff
ICALP
2010
Springer
15 years 4 months ago
Inapproximability of Hypergraph Vertex Cover and Applications to Scheduling Problems
Assuming the Unique Games Conjecture (UGC), we show optimal inapproximability results for two classic scheduling problems. We obtain a hardness of 2 − ε for the problem of mini...
Nikhil Bansal, Subhash Khot