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Flum, J., Grohe, M.: Parameterized Complexity Theory. Texts in Theoretical Computer Science An EATCS Series. Springer, Berlin (2006)
Garey, M.R., Graham, R.L., Johnson, D.S.: Some NP-complete geometric problems. In: Proceedings of 8th Annual ACM Symposium on Theory of Computing (STOC '76), pp. 10–22. Association for Computing Machinery, New York (1976)
Grantson, M.: Fixed‐parameter algorithms and other results for optimal partitions. Lecentiate Thesis, Department of Computer Science, Lund University (2004)
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Grantson, M., Borgelt, C., Levcopoulos, C.: Minimum weight triangulation by cutting out triangles. In: Deng, X., Du, D.-Z. (eds.) Proceedings of the 16th Annual International Symposium on Algorithms and Computation (ISAAC). Lecture Notes in Computer Science, vol. 3827, pp. 984–994. Springer, New York (2005)
Grantson, M., Borgelt, C., Levcopoulos, C.: Fixed parameter algorithms for the minimum weight triangulation problem. Tech. Rep. 158, Department of Computer Science, Lund University (2006)
Grantson, M., Levcopoulos, C.: A fixed parameter algorithm for the minimum number convex partition problem. In: Akiyama, J., Kano, M., Tan, X. (eds.) Proceedings of Japanese Conference on Discrete and Computational Geometry (JCDCG 2004). Lecture Notes in Computer Science, vol. 3742, pp. 83–94. Springer, New York (2005)
Hoffmann, M., Okamoto, Y.: The minimum weight triangulation problem with few inner points. Comput. Geom. Theory Appl. 34, 149–158 (2006)
Jansen, K., Woeginger, G.J.: The complexity of detecting crossingfree configurations in the plane. BIT 33, 580–595 (1993)
Knauer, C., Spillner, A.: Fixed‐parameter algorithms for finding crossing‐free spanning trees in geometric graphs. Tech. Rep. 06–07, Department of Computer Science, Friedrich‐Schiller‐Universität Jena (2006)
Knauer, C., Spillner, A.: A fixed‐parameter algorithm for the minimum weight triangulation problem based on small graph separators. In: Proceedings of the 32nd International Workshop on Graph‐Theoretic Concepts in Computer Science (WG). Lecture Notes in Computer Science, vol. 4271, pp. 49–57. Springer, New York (2006)
Lawler, E., Lenstra, J., Rinnooy Kan, A., Shmoys, D. (eds.): The Traveling Salesman Problem: A Guided Tour of Combinatorial Optimization. Wiley, Chichester (1985)
Mulzer, W., Rote, G.: Minimum Weight Triangulation is NP-hard. In: Proceedings of the 22nd Annual ACM Symposium on Computational Geometry (SoCG), Association for Computing Machinery, New York 2006, pp. 1–10
Niedermeier, R.: Invitation to Fixed‐Parameter Algorithms. Oxford Lecture Series in Mathematics and Its Applications, vol. 31. Oxford University Press, Oxford (2006)
Papadimitriou, C.H.: The Euclidean travelling salesman problem is NP‑complete. Theor. Comput. Sci. 4, 237–244 (1977)
Spillner, A.: A faster algorithm for the minimum weight triangulation problem with few inner points. In: Broersma, H., Johnson, H., Szeider, S. (eds.) Proceedings of the 1st ACiD Workshop. Texts in Algorithmics, vol. 4, pp. 135–146. King's College, London (2005)
Spillner, A.: Optimal convex partitions of point sets with few inner points. In: Proceedings of the 17th Canadian Conference on Computational Geometry (CCCG), 2005, pp. 34–37
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Okamoto, Y. (2008). Traveling Sales Person with Few Inner Points. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-30162-4_426
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DOI: https://doi.org/10.1007/978-0-387-30162-4_426
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