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» Approximation of the Quadratic Set Covering problem
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FCT
2003
Springer
14 years 1 months ago
Complexity of Approximating Closest Substring Problems
The closest substring problem, where a short string is sought that minimizes the number of mismatches between it and each of a given set of strings, is a minimization problem with ...
Patricia A. Evans, Andrew D. Smith
ALMOB
2006
97views more  ALMOB 2006»
13 years 8 months ago
The approximability of the String Barcoding problem
The String Barcoding (SBC) problem, introduced by Rash and Gusfield (RECOMB, 2002), consists in finding a minimum set of substrings that can be used to distinguish between all mem...
Giuseppe Lancia, Romeo Rizzi
ISAAC
2009
Springer
116views Algorithms» more  ISAAC 2009»
14 years 3 months ago
Practical Discrete Unit Disk Cover Using an Exact Line-Separable Algorithm
Given m unit disks and n points in the plane, the discrete unit disk cover problem is to select a minimum subset of the disks to cover the points. This problem is NP-hard [11] and ...
Francisco Claude, Reza Dorrigiv, Stephane Durocher...
ESA
2003
Springer
189views Algorithms» more  ESA 2003»
14 years 1 months ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz
CGF
2006
125views more  CGF 2006»
13 years 8 months ago
Translational Covering of Closed Planar Cubic B-Spline Curves
Spline curves are useful in a variety of geometric modeling and graphics applications and covering problems abound in practical settings. This work defines a class of covering dec...
Cristina Neacsu, Karen Daniels