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Minimum Weight Triangulation

1998; Levcopoulos, Krznaric

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  1. Beirouti, R., Snoeyink, J.: Implementations of the LMT Heuristic for Minimum Weight Triangulation. Symposium on Computational Geometry, pp. 96–105, Minneapolis, Minnesota, June 7–10, 1998

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  2. Borgelt, C., Grantson, M., Levcopoulos, C.: Fixed-Parameter Algorithms for the Minimum Weight Triangulation Problem. Technical Report LU-CS-TR:2006-238, ISSN 1650-1276 Report 158. Lund University, Lund (An extended version has been submitted to IJCGA) (2006)

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  3. de Berg, M., van Kreveld, M., Overmars, M., Schwarzkopf, O.: Computational Geometry – Algorithms and Applications, 2nd edn. Springer, Heidelberg (2000)

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  4. Grantson, M., Borgelt, C., Levcopoulos, C.: Minimum Weight Triangulation by Cutting Out Triangles. In: Proceedings 16th Annual International Symposium on Algorithms and Computation, ISAAC 2005, Sanya, China, pp. 984–994. Lecture Notes in Computer Science, vol. 3827. Springer, Heidelberg (2005)

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  5. Gudmundsson, J., Levcopoulos, C.: A Parallel Approximation Algorithm for Minimum Weight Triangulation. Nordic J. Comput. 7(1), 32–57 (2000)

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  6. Hjelle, Ø., Dæhlen, M.: Triangulations and Applications. In: Mathematics and Visualization, vol. IX. Springer, Heidelberg (2006). ISBN 978-3-540-33260-2

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  7. Levcopoulos, C., Krznaric, D.: Quasi-Greedy Triangulations Approximating the Minimum Weight Triangulation. J. Algorithms 27(2), 303–338 (1998)

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  8. Levcopoulos, C., Krznaric, D.: The Greedy Griangulation can be Computed from the Delaunay Triangulation in Linear Time. Comput. Geom. 14(4), 197–220 (1999)

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  9. Levcopoulos, C., Lingas, A.: On Approximation Behavior of the Greedy Triangulation for Convex Polygons. Algorithmica 2, 15–193 (1987)

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  10. Lingas, A.: Subexponential-time algorithms for minimum weight triangulations and related problems. In: Proceedings 10th Canadian Conference on Computational Geometry (CCCG), McGill University, Montreal, Quebec, 10–12 August 1998

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  11. Mulzer, W., Rote, G.: Minimum-weight triangulation is NP-hard. In: Proceedings 22nd Annual ACM Symposium on Computational Geometry, SoCG'06, Sedona, AZ, USA. ACM Press, New York, NY, USA (2006)

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  12. Remy, J., Steger, A.: A Quasi-Polynomial Time Approximation Scheme for Minimum Weight Triangulation. In: Proceedings 38th ACM Symposium on Theory of Computing (STOC'06). ACM Press, New York, NY, USA (2006)

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© 2008 Springer-Verlag

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Levcopoulos, C. (2008). Minimum Weight Triangulation. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-30162-4_241

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