Consider the minimum size k-edge-connected spanning subgraph problem: given a positive integer k and a k-edge-connected graph G, find a k-edge-connected spanning subgraph of G with the minimum number of edges. This problem is known to be NP-complete. Khuller and Raghavachari presented the first algo
A linear time 53-approximation for the minimum strongly-connected spanning subgraph problem
β Scribed by Liang Zhao; Hiroshi Nagamochi; Toshihide Ibaraki
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 134 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0020-0190
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β¦ Synopsis
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.
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