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arXiv · 0807.0644

Greedy D-Approximation Algorithm for Covering with Arbitrary Constraints and Submodular Cost

Christos Koufogiannakis·Neal E. Young
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Abstract

This paper describes a simple greedy D-approximation algorithm for any covering problem whose objective function is submodular and non-decreasing, and whose feasible region can be expressed as the intersection of arbitrary (closed upwards) covering constraints, each of which constrains at most D variables of the problem. (A simple example is Vertex Cover, with D = 2.) The algorithm generalizes previous approximation algorithms for fundamental covering problems and online paging and caching problems.

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BibTeXRIS

Christos Koufogiannakis, Neal E. Young. 2011-12-30. Greedy D-Approximation Algorithm for Covering with Arbitrary Constraints and Submodular Cost. https://doi.org/10.1007/978-3-642-02927-1_53

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