A Fully Dynamic Algorithm to Test the Upward Planarity of Single-Source Embedded Digraphs

  • Aimal Rextin
  • Patrick Healy
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5417)

Abstract

In this paper, we present a dynamic algorithm that checks if a single-source embedded digraph is upward planar in the presence of edge insertions and edge deletions. Let Gφ be an upward planar single-source embedded digraph and let Gφ be a single-source embedded digraph obtained by updating Gφ. We show that the upward planarity of Gφ can be checked in O(logn) amortized time when the external face is fixed.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Aimal Rextin
    • 1
  • Patrick Healy
    • 1
  1. 1.Computer Science DepartmentUniversity of LimerickIreland

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