Approximation of k-set cover by semi-local optimization

Abstract
We define a powerful new approximation technique called semi-local optimization. It provides very natural heuristics that are distinctly more powerful than those based on local optimization. With an appropriate metric, semi-local optimization can still be viewed as a local optimization, but it has the advantage of making global changes to an approximate solution. Semi-local optimization generalizes recent heuristics of Halldorsson for 3-Set Cover, Color Saving, and k-Set Cover. Greatly improved ...

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