A linear time 5/3-approximation for the minimum strongly-connected spanning subgraph problem

  • Authors:
  • Liang Zhao;Hiroshi Nagamochi;Toshihide Ibaraki

  • Affiliations:
  • Department of Information Science, Faculty of Engineering, Utsunomiya University, Utsunomiya, 321-8585, Japan;Department of Information and Computer Sciences, Toyohashi University of Technology, Toyohashi, Aichi, 441-8580, Japan;Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto, 606-8501, Japan

  • Venue:
  • Information Processing Letters
  • Year:
  • 2003

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Abstract

A linear time 5/3-approximation algorithm is presented for the NP-hard problem of finding a minimum strongly-connected spanning subgraph. It is based on cycle contraction that was first introduced by Khuller, Raghavachari and Young [SIAM J. Comput. 24 (1995) 859-872]. We improve their result by contracting special cycles and utilizing a more efficient data structure.