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COLOGNETWENTE
2010
13 years 4 months ago
Approximating Independent Set in Semi-Random Graphs
We present an algorithm for the independent set problem on semi-random graphs, which are generated as follows: An adversary chooses an n-vertex graph, and then each edge is flipp...
Bodo Manthey, Kai Plociennik
MFCS
2005
Springer
13 years 11 months ago
Coloring Sparse Random k-Colorable Graphs in Polynomial Expected Time
Abstract. Feige and Kilian [5] showed that finding reasonable approximative solutions to the coloring problem on graphs is hard. This motivates the quest for algorithms that eithe...
Julia Böttcher
SODA
2010
ACM
234views Algorithms» more  SODA 2010»
14 years 3 months ago
PTAS for maximum weight independent set problem with random weights in bounded degree graphs
Finding the largest independent set in a graph is a notoriously difficult NP-complete combinatorial optimization problem. Moreover, even for graphs with largest degree 3, no polyn...
David Gamarnik, David Goldberg, Theophane Weber
GECCO
2007
Springer
193views Optimization» more  GECCO 2007»
13 years 12 months ago
Approximating covering problems by randomized search heuristics using multi-objective models
The main aim of randomized search heuristics is to produce good approximations of optimal solutions within a small amount of time. In contrast to numerous experimental results, th...
Tobias Friedrich, Nils Hebbinghaus, Frank Neumann,...
FOCS
1999
IEEE
13 years 10 months ago
Hardness of Approximating the Minimum Distance of a Linear Code
We show that the minimum distance of a linear code is not approximable to within any constant factor in random polynomial time (RP), unless nondeterministic polynomial time (NP) eq...
Ilya Dumer, Daniele Micciancio, Madhu Sudan