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L-Drawings of Directed Graphs

  • Patrizio Angelini
  • Giordano Da LozzoEmail author
  • Marco Di Bartolomeo
  • Valentino Di Donato
  • Maurizio Patrignani
  • Vincenzo Roselli
  • Ioannis G. Tollis
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9587)

Abstract

We introduce L-drawings, a novel paradigm for representing directed graphs aiming at combining the readability features of orthogonal drawings with the expressive power of matrix representations. In an L-drawing, vertices have exclusive x- and y-coordinates and edges consist of two segments, one exiting the source vertically and one entering the destination horizontally.

We study the problem of computing L-drawings using minimum ink. We prove its NP-completeness and provide a heuristic based on a polynomial-time algorithm that adds a vertex to a drawing using the minimum additional ink. We performed an experimental analysis of the heuristic which confirms its effectiveness.

Keywords

Directed Graph Vertical Segment Random Placement Horizontal Segment Directed Cycle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Patrizio Angelini
    • 1
  • Giordano Da Lozzo
    • 2
    Email author
  • Marco Di Bartolomeo
    • 2
  • Valentino Di Donato
    • 2
  • Maurizio Patrignani
    • 2
  • Vincenzo Roselli
    • 2
  • Ioannis G. Tollis
    • 3
  1. 1.Tübingen UniversityTübingenGermany
  2. 2.Roma Tre UniversityRomeItaly
  3. 3.University of Crete and Institute of Computer Science-FORTHHeraklionGreece

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