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Mixed Upward Planarization – Fast and Robust

  • Martin Siebenhaller
  • Michael Kaufmann
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3843)

Abstract

In a mixed upward drawing of a graph G = (V,E) all directed edges E D  ⊆ E are represented by monotonically increasing curves. Mixed upward drawings arise in applications like UML diagrams where such edges denote a hierarchical structure. The mixed upward planarization is an important subtask for computing such drawings. We outline a fast and simple heuristic approach that provides a good quality and can be applied to larger graphs as before in reasonable time. Unlike other Sugiyama-style [4] approaches, the quality is comparable to the GT based approach [2] even if there are only few directed edges. Furthermore, the new approach is particularly suitable for extensions like clustering and swimlanes.

Keywords

Random Graph Dual Graph Large Graph Undirected Edge Layering Strategy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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    Brandes, U., Köpf, B.: Fast and Simple Horizontal Coordinate Assignment. In: Mutzel, P., Jünger, M., Leipert, S. (eds.) GD 2001. LNCS, vol. 2265, pp. 31–44. Springer, Heidelberg (2002)CrossRefGoogle Scholar
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    Eiglsperger, M., Kaufmann, M., Eppinger, F.: An Approach for Mixed Upward Planarization. J. Graph Algorithms Appl. 7(2), 203–220 (2003)MathSciNetGoogle Scholar
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    Eiglsperger, M., Siebenhaller, M., Kaufmann, M.: An Efficient Implementation of Sugiyama’s Algorithm for Layered Graph Drawing. In: Pach, J. (ed.) GD 2004. LNCS, vol. 3383, pp. 155–166. Springer, Heidelberg (2005)CrossRefGoogle Scholar
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    Sugiyama, K., Tagawa, S., Toda, M.: Methods for Visual Understanding of Hierarchical System Structures. IEEE Transactions on Systems, Man and Cybernetics, SMC-11(2), 109–125 (1981)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Martin Siebenhaller
    • 1
  • Michael Kaufmann
    • 1
  1. 1.Universität Tübingen, WSITübingenGermany

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