Understanding Set Cover: Sub-exponential Time Approximations and Lift-and-Project Methods
@article{Chlamtc2012UnderstandingSC, title={Understanding Set Cover: Sub-exponential Time Approximations and Lift-and-Project Methods}, author={E. Chlamt{\'a}c and Zachary Friggstad and Konstantinos Georgiou}, journal={ArXiv}, year={2012}, volume={abs/1204.5489} }
Recently, Cygan, Kowalik, and Wykurz [IPL 2009] gave sub-exponential-time approximation algorithms for the Set-Cover problem with approximation ratios better than ln(n). In light of this result, it is natural to ask whether such improvements can be achieved using lift-and-project methods. We present a simpler combinatorial algorithm which has nearly the same time-approximation tradeoff as the algorithm of Cygan et al., and which lends itself naturally to a lift-and-project based approach.
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