Improving the running time of embedded upward planarity testing

Sarmad Abbasi, Patrick Healy, Aimal Rextin

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the standard algorithm by Bertolazzi et al. to test the upward planarity of embedded digraphs. We show how to improve its running time from O (n + r2) to O (n + rfrac(3, 2)), where r is the number of sources and sinks in the digraph. We also discuss an application of this technique: improving the running time of getting a quasi-upward planar drawing for an embedded digraph with minimum number of bends.

Original languageEnglish
Pages (from-to)274-278
Number of pages5
JournalInformation Processing Letters
Volume110
Issue number7
DOIs
Publication statusPublished - 1 Mar 2010

Keywords

  • Algorithms
  • Graph drawing
  • Upward planarity

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