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» The Shortcut Problem - Complexity and Approximation
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FCT
2007
Springer
15 years 4 months ago
Analysis of Approximation Algorithms for k-Set Cover Using Factor-Revealing Linear Programs
We present new combinatorial approximation algorithms for k-set cover. Previous approaches are based on extending the greedy algorithm by efficiently handling small sets. The new a...
Stavros Athanassopoulos, Ioannis Caragiannis, Chri...
ADCM
2005
79views more  ADCM 2005»
14 years 10 months ago
Flexible piecewise approximations based on partition of unity
In this paper, we study a flexible piecewise approximation technique based on the use of the idea of the partition of unity. The approximations are piecewisely defined, globally sm...
Weimin Han, Wing Kam Liu
TSP
2008
118views more  TSP 2008»
14 years 10 months ago
Approximating Functions From Sampled Fourier Data Using Spline Pseudofilters
Recently, new polynomial approximation formulas were proposed for the reconstruction of compactly supported piecewise smooth functions from Fourier data. Formulas for zero and firs...
Ana Gabriela Martínez, Alvaro R. De Pierro
92
Voted
DAM
1999
169views more  DAM 1999»
14 years 10 months ago
Approximating the Weight of Shallow Steiner Trees
This paper deals with the problem of constructing Steiner trees of minimum weight with diameter bounded by d, spanning a given set of vertices in a graph. Exact solutions or logar...
Guy Kortsarz, David Peleg
90
Voted
SIAMCOMP
1998
137views more  SIAMCOMP 1998»
14 years 10 months ago
Primal-Dual RNC Approximation Algorithms for Set Cover and Covering Integer Programs
We build on the classical greedy sequential set cover algorithm, in the spirit of the primal-dual schema, to obtain simple parallel approximation algorithms for the set cover probl...
Sridhar Rajagopalan, Vijay V. Vazirani