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International Conference on Current Trends in Theory and Practice of Informatics

SOFSEM 2016: SOFSEM 2016: Theory and Practice of Computer Science pp 134–147Cite as

L-Drawings of Directed Graphs

Part of the Lecture Notes in Computer Science book series (LNTCS,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.

Angelini was partially supported by DFG grant Ka812/17-1. Da Lozzo, Di Bartolomeo, Di Donato, Patrignani, and Roselli were partially supported by MIUR project “AMANDA – Algorithmics for MAssive and Networked DAta”, prot. 2012C4E3KT_001.

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Notes

  1. 1.

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Author information

Authors and Affiliations

  1. Tübingen University, Tübingen, Germany

    Patrizio Angelini

  2. Roma Tre University, Rome, Italy

    Giordano Da Lozzo, Marco Di Bartolomeo, Valentino Di Donato, Maurizio Patrignani & Vincenzo Roselli

  3. University of Crete and Institute of Computer Science-FORTH, Heraklion, Greece

    Ioannis G. Tollis

Authors
  1. Patrizio Angelini
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  2. Giordano Da Lozzo
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  3. Marco Di Bartolomeo
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  4. Valentino Di Donato
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  5. Maurizio Patrignani
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  6. Vincenzo Roselli
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  7. Ioannis G. Tollis
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Corresponding author

Correspondence to Giordano Da Lozzo .

Editor information

Editors and Affiliations

  1. University of Latvia, Riga, Latvia

    Rūsiņš Mārtiņš Freivalds

  2. University of Paderborn, Paderborn, Germany

    Gregor Engels

  3. University of Genoa, Genoa, Italy

    Barbara Catania

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Angelini, P. et al. (2016). L-Drawings of Directed Graphs. In: Freivalds, R., Engels, G., Catania, B. (eds) SOFSEM 2016: Theory and Practice of Computer Science. SOFSEM 2016. Lecture Notes in Computer Science(), vol 9587. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-49192-8_11

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  • DOI: https://doi.org/10.1007/978-3-662-49192-8_11

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