Rectangular Dualization of Biconnected Plane Graphs and Related Applications

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  • Massimo Ancona
  • Sara Drago
  • Gianluca Quercini

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https://doi.org/10.1685/

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Rectangular dualization is an effective visualization method for networks used in many optimization problems. However, only 4-connected triangulated planar graphs admit a rectangular dual. By adding special crossover vertices a plane graph G can be transformed in a new graph G' admitting a rectangular dual. In this paper we improve the result of a previous polynomial algorithm by presenting a linear method applicable to the class of plane bi-connected graphs. We also apply it to the hierarchical design and visualization of graphs and to the resolution of navigation issues in the design of 3D Virtual Worlds. [DOI: 10.1685 / CSC06009] About DOI

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2007-10-01

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##issue.vol## 1 (2006)

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Articles

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