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Orthogonal drawing of high degree graphs with small area and few bends

  • Session 10B: Invited Lecture
  • Conference paper
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Algorithms and Data Structures (WADS 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1272))

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Abstract

Most of the work that appears in the orthogonal graph drawing literature deals with graphs whose maximum degree is four. In this paper we present an algorithm for orthogonal drawings of simple graphs with degree higher than four. Vertices are represented by rectangular boxes of perimeter less than twice the degree of the vertex. Our algorithm is based on creating groups/pairs of vertices of the graph both ahead of time and in real drawing time. The orthogonal drawings produced by our algorithm have area at most (m−1) × \(\left( {\frac{m}{2} + 2} \right)\). Two important properties of our algorithm are that the drawings exhibit small total number of bends (less than m), and that there is at most one bend per edge.

Research supported in part by NIST, Advanced Technology Program grant number 70NANB5H11.

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Author information

Authors and Affiliations

  1. Dept. of Computer Science, The University of Texas at Dallas, 75083-0688, Richardson, TX

    Achilleas Papakostas & Ioannis G. Tollis

Authors
  1. Achilleas Papakostas
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  2. Ioannis G. Tollis
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Editor information

Frank Dehne Andrew Rau-Chaplin Jörg-Rüdiger Sack Roberto Tamassia

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© 1997 Springer-Verlag Berlin Heidelberg

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Papakostas, A., Tollis, I.G. (1997). Orthogonal drawing of high degree graphs with small area and few bends. In: Dehne, F., Rau-Chaplin, A., Sack, JR., Tamassia, R. (eds) Algorithms and Data Structures. WADS 1997. Lecture Notes in Computer Science, vol 1272. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63307-3_74

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  • DOI: https://doi.org/10.1007/3-540-63307-3_74

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63307-5

  • Online ISBN: 978-3-540-69422-9

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