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EOR
2008
93views more  EOR 2008»
13 years 7 months ago
Approximate methods for convex minimization problems with series-parallel structure
Consider a problem of minimizing a separable, strictly convex, monotone and differentiable function on a convex polyhedron generated by a system of m linear inequalities. The probl...
Adi Ben-Israel, Genrikh Levin, Yuri Levin, Boris R...
MP
1998
109views more  MP 1998»
13 years 7 months ago
Rounding algorithms for covering problems
In the last 25 years approximation algorithms for discrete optimization problems have been in the center of research in the fields of mathematical programming and computer science...
Dimitris Bertsimas, Rakesh V. Vohra
DISOPT
2010
129views more  DISOPT 2010»
13 years 7 months ago
Labeled Traveling Salesman Problems: Complexity and approximation
We consider labeled Traveling Salesman Problems, defined upon a complete graph of n vertices with colored edges. The objective is to find a tour of maximum or minimum number of co...
Basile Couëtoux, Laurent Gourvès, J&ea...
COCO
2008
Springer
88views Algorithms» more  COCO 2008»
13 years 9 months ago
Approximation of Natural W[P]-Complete Minimisation Problems Is Hard
We prove that the weighted monotone circuit satisfiability problem has no fixed-parameter tractable approximation algorithm with constant or polylogarithmic approximation ratio un...
Kord Eickmeyer, Martin Grohe, Magdalena Grübe...
FOCS
2004
IEEE
13 years 11 months ago
Hardness of Approximating the Shortest Vector Problem in Lattices
Let p > 1 be any fixed real. We show that assuming NP RP, there is no polynomial time algorithm that approximates the Shortest Vector Problem (SVP) in p norm within a constant ...
Subhash Khot