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» Rounding algorithms for covering problems
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FOCM
2002
83views more  FOCM 2002»
14 years 9 months ago
A Rigorous ODE Solver and Smale's 14th Problem
We present an algorithm for computing rigorous solutions to a large class of ordinary differential equations. The main algorithm is based on a partitioning process and the use of i...
Warwick Tucker
WADS
2007
Springer
130views Algorithms» more  WADS 2007»
15 years 3 months ago
Approximating the Maximum Sharing Problem
In the maximum sharing problem (MS), we want to compute a set of (non-simple) paths in an undirected bipartite graph covering as many nodes as possible of the first layer of the ...
Amitabh Chaudhary, Danny Z. Chen, Rudolf Fleischer...
FAW
2008
Springer
104views Algorithms» more  FAW 2008»
14 years 11 months ago
The Parameterized Complexity of the Rectangle Stabbing Problem and Its Variants
We study the parameterized complexity of an NP-complete geometric covering problem called d-dimensional Rectangle Stabbing where we are given a set of axis-parallel d-dimensional h...
Michael Dom, Somnath Sikdar
SODA
2003
ACM
107views Algorithms» more  SODA 2003»
14 years 11 months ago
Fault-tolerant facility location
We consider a fault-tolerant generalization of the classical uncapacitated facility location problem, where each client j has a requirement that rj distinct facilities serve it, i...
Chaitanya Swamy, David B. Shmoys
FCT
2009
Springer
15 years 4 months ago
Competitive Group Testing and Learning Hidden Vertex Covers with Minimum Adaptivity
Suppose that we are given a set of n elements d of which are “defective”. A group test can check for any subset, called a pool, whether it contains a defective. It is well know...
Peter Damaschke, Azam Sheikh Muhammad