Minimum Manhattan Network is NP-Complete

Author:

Chin Francis Y. L.,Guo Zeyu,Sun He

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Reference12 articles.

1. Benkert, M., Wolff, A., Widmann, F.: The minimum Manhattan network problem: a fast factor-3 approximation. In: Proceedings of the 8th Japanese Conference on Discrete and Computational Geometry, pp. 16–28 (2005)

2. Benkert, M., Wolff, A., Widmann, F., Shirabe, T.: The minimum Manhattan network problem: approximations and exact solutions. Comput. Geom., Theory Appl. 35, 188–208 (2006)

3. Chepoi, V., Nouioua, K., Vaxès, Y.: A rounding algorithm for approximating minimum Manhattan networks. Theor. Comput. Sci. 390, 56–69 (2008)

4. Gudmundsson, J., Klein, O., Knauer, C., Smid, M.: Small Manhattan networks and algorithmic applications for the Earth mover’s distance. In: Proceedings of the 23rd European Workshop on Computational Geometry, pp. 174–177 (2007)

5. Gudmundsson, J., Levcopoulos, C., Narasimhan, G.: Approximating a minimum Manhattan network. Nord. J. Comput. 8, 219–232 (2001)

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