Maximum upward planar subgraphs of embedded planar digraphs

  • Authors:
  • Carla Binucci;Walter Didimo;Francesco Giordano

  • Affiliations:
  • DIEI, Università degli Studi di Perugia;DIEI, Università degli Studi di Perugia;DIEI, Università degli Studi di Perugia

  • Venue:
  • GD'07 Proceedings of the 15th international conference on Graph drawing
  • Year:
  • 2007

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Abstract

This paper presents an extensive study on the problem of computing maximum upward planar subgraphs of embedded planar digraphs: Complexity results, algorithms, and experiments are presented. Namely: (i) We prove that the addressed problem is NP-Hard; (ii) A fast heuristic and an exponential-time exact algorithm are described; (iii) A wide experimental analysis is performed to show the effectiveness of our techniques.