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Geometric Transformation in Plane Triangulations

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Discrete and Computational Geometry (JCDCG 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2098))

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Abstract

In this paper, we present several geometric transformations, sometimes called contractions in graph theory, in plane triangulations. Those transformations can be applied for several formalizations of geometrics properties (ex. the number of acute triangles) in plane triangulations since they are restricted only for a local region (some adjacent triangles). We refer to such an applications slightly.

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References

  1. A. Kaneko, H. Maehara and M. Watanabe, On the number of acute triangles in a straight-line embedding of a maximal plane graph, J. Combin. Theory, Ser. B 75 (1999), 110–115.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Keio University, Yokohama, 223-8522, Japan

    Ken-ichi Kawarabayashi

  2. Department of Mathematics and Computer Science, Shimane University, Matsue, 690-8504, Japan

    Atsuhiro Nakamoto

  3. Department of Computer Science and Mathematics, Kurashiki University of Sciences and the Arts, Kurashiki, 712-8505, Japan

    Yoshiaki Oda & Mamoru Watanabe

Authors
  1. Ken-ichi Kawarabayashi
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  2. Atsuhiro Nakamoto
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  3. Yoshiaki Oda
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  4. Mamoru Watanabe
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Editor information

Editors and Affiliations

  1. Research Institute of Educational Development, Tokai University, 2-28-4 Tomigaya, Shibuya-ku, Tokyo, 151-0063, Japan

    Jin Akiyama

  2. Department of Computer and Information Sciences, Ibaraki University, Hitachi, 316-8511, Japan

    Mikio Kano

  3. Department of Mathematics, Tokai University, 3-20-1 Orido Shimizu-shi, Shizuoka, 424-8610, Japan

    Masatsugu Urabe

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© 2001 Springer-Verlag Berlin Heidelberg

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Kawarabayashi, Ki., Nakamoto, A., Oda, Y., Watanabe, M. (2001). Geometric Transformation in Plane Triangulations. In: Akiyama, J., Kano, M., Urabe, M. (eds) Discrete and Computational Geometry. JCDCG 2000. Lecture Notes in Computer Science, vol 2098. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47738-1_20

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  • DOI: https://doi.org/10.1007/3-540-47738-1_20

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42306-5

  • Online ISBN: 978-3-540-47738-9

  • eBook Packages: Springer Book Archive

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