A constant factor approximation for the single sink edge installation problems

  • Authors:
  • Sudipto Guha;Adam Meyerson;Kamesh Munagala

  • Affiliations:
  • AT&T Research, Department of Computer Science, Stanford University, CA;Department of Computer Science, Stanford University, CA;Department of Computer Science, Stanford University, CA

  • Venue:
  • STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
  • Year:
  • 2001

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Abstract

We present the first constant approximation to the single sink buy-at-bulk network design problem, where we have to design a network by buying pipes of different costs and capacities per unit length to route demands at a set of sources to a single sink. The distances in the underlying network form a metric. This result improves the previous bound of O(\log |R|), where R is the set of sources. Our algorithms are combinatorial and can be derandomized easily at the cost of a constant factor loss in the approximation ratio.