Simultaneous FPQ-Ordering and Hybrid Planarity Testing

  • Giuseppe Liotta
  • Ignaz Rutter
  • Alessandra TappiniEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 12011)


We study the interplay between embedding constrained planarity and hybrid planarity testing. We consider a constrained planarity testing problem, called 1-Fixed Constrained Planarity, and prove that this problem can be solved in quadratic time for biconnected graphs. Our solution is based on a new definition of fixedness that makes it possible to simplify and extend known techniques about Simultaneous PQ-Ordering. We apply these results to different variants of hybrid planarity testing, including a relaxation of NodeTrix Planarity with fixed sides, that allows rows and columns to be independently permuted.


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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Dipartimento di IngegneriaUniversità degli Studi di PerugiaPerugiaItaly
  2. 2.Department of Computer Science and MathematicsUniversity of PassauPassauGermany

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