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A chain decomposition algorithm for the proof of a property on minimum weight triangulations

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Algorithms and Computation (ISAAC 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 834))

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Abstract

In this paper, a chain decomposition algorithm is proposed and studied. Using this algorithm, we prove a property on minimum weight triangulations of points in the Euclidean plane, which shows that a special kind of line segments must be in the minimum weight triangulations and in the greedy triangulation of a given point set.

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References

  1. L. S. Heath and S. V. Pemmaraju, New results for the minimum weight triangulation problem, TR 90-65, Virginia Polytechnic Institute and state University, 1990.

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  2. A. Lingas, A new heuristic for the minimum weight triangulation, SIAM Journal of Algebraic and Discrete Methods 8, 646–658. 1987.

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  3. Y. F. Xu, Minimum Weight trianuglation problem of a planar point set, ph. D. thesis, Institute of Applied Mathematics, Academia Sinica, Beiing, 1992.

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  4. F. Preparata and M. I. Shamos. Computational Geometry, Springer-Verlag, 1985.

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Ding-Zhu Du Xiang-Sun Zhang

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© 1994 Springer-Verlag Berlin Heidelberg

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Bo-Ting, Y., Yin-Feng, X., Zhao-Yong, Y. (1994). A chain decomposition algorithm for the proof of a property on minimum weight triangulations. In: Du, DZ., Zhang, XS. (eds) Algorithms and Computation. ISAAC 1994. Lecture Notes in Computer Science, vol 834. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58325-4_207

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  • DOI: https://doi.org/10.1007/3-540-58325-4_207

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58325-7

  • Online ISBN: 978-3-540-48653-4

  • eBook Packages: Springer Book Archive

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