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A better subgraph of the minimum weight triangulation

  • Session 8A: Algorithms
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Computing and Combinatorics (COCOON 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 959))

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Abstract

Given a set of n points in the plane, it is shown that the csc(2π/7)-skeleton of S is a subgraph of the minimum weight triangulation of S. We improve the results in [2] that the √2-skeleton of S is a subgraph of the minimum weight triangulation of S.

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References

  1. M. Garey and D. Johnson, Computers and Intractability; A Guide to the Theory of NP-Completeness (Freeman, San Francisco, 1979).

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  2. J. M. Keil, Computing a subgraph of the minimum weight triangulation, Computational Geometry 4(1994)13–26.

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  3. D. G. Kirkpatrick and J. D. Radke, A framework for computational morphology, in: G. T. Toussaint, ed., Computational Geometry (Elsevier, Amsterdam, 1985) 217–248.

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  4. B.-T. Yang, Y.-F. Xu and Z.-Y. You, A chain decomposition algorithm for the proof of a property on minimum weight triangulations, in: D.-Z. Du and X.-S. Zhang, eds., Algorithms and Computation, Lecture Notes in Computer Science 834 (Springer-Verlag, Berlin, 1994) 423–427.

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Ding-Zhu Du Ming Li

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© 1995 Springer-Verlag Berlin Heidelberg

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Yang, BT. (1995). A better subgraph of the minimum weight triangulation. In: Du, DZ., Li, M. (eds) Computing and Combinatorics. COCOON 1995. Lecture Notes in Computer Science, vol 959. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0030865

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  • DOI: https://doi.org/10.1007/BFb0030865

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60216-3

  • Online ISBN: 978-3-540-44733-7

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