Upward spirality and upward planarity testing

  • Authors:
  • Walter Didimo;Francesco Giordano;Giuseppe Liotta

  • Affiliations:
  • Università di Perugia, Italy;Università di Perugia, Italy;Università di Perugia, Italy

  • Venue:
  • GD'05 Proceedings of the 13th international conference on Graph Drawing
  • Year:
  • 2005

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Abstract

The upward planarity testing problem is known to be NP-hard. We describe an O(n4)-time upward planarity testing and embedding algorithm for the class of digraphs that do not contain rigid triconnected components. We also present a new FPT algorithm that solves the upward planarity testing and embedding problem for general digraphs.