Approximate k-MSTs and k-Steiner Trees via the Primal-Dual Method and Lagrangean Relaxation

@inproceedings{Chudak2001ApproximateKA,
  title={Approximate k-MSTs and k-Steiner Trees via the Primal-Dual Method and Lagrangean Relaxation},
  author={Fabi{\'a}n A. Chudak and Tim Roughgarden and David P. Williamson},
  booktitle={IPCO},
  year={2001}
}
Garg [10] gives two approximation algorithms for the minimum-cost tree spanning k vertices in an undirected graph. Recently Jain and Vazirani [15] discovered primal-dual approximation algorithms for the metric uncapacitated facility location and k-median problems. In this paper we show how Garg’s algorithms can be explained simply with ideas introduced by Jain and Vazirani, in particular via a Lagrangean relaxation technique together with the primal-dual method for approximation algorithms. We… CONTINUE READING

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