Saving an epsilon: a 2-approximation for the k-MST problem in graphs

  • Authors:
  • Naveen Garg

  • Affiliations:
  • Indian Institute of Technology, Hauz Khas, New Delhi

  • Venue:
  • Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
  • Year:
  • 2005

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Abstract

We present a polynomial time 2-approximation algorithm for the problem of finding the minimum tree that spans at least k vertices. Our result also leads to a 2-approximation algorithm for finding the minimum tour that visits k vertices and to a 3-approximation algorithm for the problem of finding the maximum number of vertices that can be spanned by a tree of length at most a given bound.