Advertisement

Orthogonal and Straight-Line Drawings of Graphs with Succinct Representations

  • Ho-Lin Chen
  • Hsu-Chun Yen
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1731)

Abstract

The concept of a hierarchical design has played an important role in various areas of computer science and engineering, including software engineering, CAD, among others. Graphs with hierarchical structures, which are capable of describing large-scale regular structures in a succinct manner, have naturally become an interesting and important modeling tool for facilitating such a hierarchical design. In the literature, a number of succinct models for representing graphs with hierarchical structures have been proposed. See, e.g., [4,5]. In each of such hierarchical graph models, a succinct description is capable of representing a graph (which can be thought of as the expansion of the description) whose size is exponential in the length of the description.

References

  1. 1.
    F. Brandenburg, Designing Graph Drawings by Layout Graph Grammars, Graph Drawing’94, LNCS 894, pp. 416–427, 1994.Google Scholar
  2. 2.
    G. Di Battista, P. Eades, R. Tamassia, and I. Tollis, Graph Drawing: Algorithms for the Visualization of Graphs, Prentice-Hall, 1999.Google Scholar
  3. 3.
    P. Eades, X. Lin, and R. Tamassia, An Algorithm for Drawing a Hierarchical Graph, Internat. J. Comput. Geom. Appl., Vol. 6, pp. 145–156, 1996.MATHCrossRefMathSciNetGoogle Scholar
  4. 4.
    T. Lengauer, Efficient Algorithms for Finding Minimum Spanning Forests of Hierarchically Defined Graphs, J. Algorithms, Vol. 8, pp. 260–284, 1987.MATHCrossRefMathSciNetGoogle Scholar
  5. 5.
    T. Lengauer, Hierarchical Planarity Testing Algorithms, J. ACM, Vol. 36, No. 3, pp. 474–509, 1989.MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Ho-Lin Chen
    • 1
  • Hsu-Chun Yen
    • 1
  1. 1.Dept. of Electrical EngineeringNational Taiwan UniversityTaipeiTaiwan

Personalised recommendations