We will introduce the technique of LP-rounding by using it to design two approximation algorithms for the set cover problem, Problem 2.1. The first is a simple rounding algorithm achieving a guarantee of f, where f is the frequency of the most frequent element. The second algorithm, achieving an approximation guarantee of O(log n), illustrates the use of randomization in rounding.
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- 252.A. Srinivasan. Improved approximations of packing and covering problems. In Proc. 27th ACM Symposium on the Theory of Computing,pages 268–276, 1995. (Cited on p. 123)Google Scholar