Multiway cuts in node weighted graphs

  • Authors:
  • Naveen Garg;Vijay V. Vazirani;Mihalis Yannakakis

  • Affiliations:
  • Computer Science and Engineering, Indian Institute of Technology, Delhi, India;Georgia Institute of Technology, Atlanta, GA;Computer Science Department, Stanford University, Stanford, CA

  • Venue:
  • Journal of Algorithms
  • Year:
  • 2004

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Abstract

A (2 - 2/k) approximation algorithm is presented for the node multiway cut problem, thus matching the result of Dahlhaus et al. (SIAM J. Comput. 23 (4) (1994) 864-894) for the edge version of this problem. This is done by showing that the associated LP-relaxation always has a half-integral optimal solution.