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Titlebook: Integer Programming and Combinatorial Optimization; 11th International I Michael Jünger,Volker Kaibel Conference proceedings 2005 Springer-

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Disjoint Cycles: Integrality Gap, Hardness, and Approximation,ng vertex-disjoint cycles in . is defined similarly. The best approximation algorithms for edge-disjoint cycle packing are due to Krivelevich et al. [16], where they give an .-approximation for undirected graphs and an .-approximation for directed graphs. They also conjecture that the problem in dir
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Improved Approximation Schemes for Linear Programming Relaxations of Combinatorial Optimization Prouncapacitated facility location problem, the scheduling problem . ∥ . . and the set covering problem we substantially improve the running time dependence on . from the previously known .(1/. .) to .(1/.). All these algorithms are remarkably simple to implement. For the survivable network design prob
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On Approximating Complex Quadratic Optimization Problems via Semidefinite Programming Relaxations,mitian form. These problems capture a class of well–known combinatorial optimization problems, as well as problems in control theory. For instance, they include . where the Laplacian matrix is positive semidefinite (in particular, some of the edge weights can be negative). We present a generic algor
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,Approximation Algorithms for Semidefinite Packing Problems with Applications to , and Graph Coloring [17] are in this class of problems. We extend a method of Bienstock and Iyengar [5] which was based on ideas from Nesterov [25] to design an algorithm for computing .-approximate solutions for this class of semidefinite programs. Our algorithm is in the spirit of Klein and Lu [18], and decreases t
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