Combinatorica

, Volume 21, Issue 1, pp 39–60

A Factor 2 Approximation Algorithm for the Generalized Steiner Network Problem

  • Kamal Jain
Original Paper

DOI: 10.1007/s004930170004

Cite this article as:
Jain, K. Combinatorica (2001) 21: 39. doi:10.1007/s004930170004

We present a factor 2 approximation algorithm for finding a minimum-cost subgraph having at least a specified number of edges in each cut. This class of problems includes, among others, the generalized Steiner network problem, which is also known as the survivable network design problem. Our algorithm first solves the linear relaxation of this problem, and then iteratively rounds off the solution. The key idea in rounding off is that in a basic solution of the LP relaxation, at least one edge gets included at least to the extent of half. We include this edge into our integral solution and solve the residual problem.

AMS Subject Classification (2000) Classes:  68W25, 90C57 

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Copyright information

© János Bolyai Mathematical Society, 2001

Authors and Affiliations

  • Kamal Jain
    • 1
  1. 1.College of Computing, Georgia Institute of Technology; USA; E-mail: kjain@cc.gatech.eduUS

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