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Area, Curve Complexity, and Crossing Resolution of Non-Planar Graph Drawings

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Abstract

In this paper we study non-planar drawings of graphs, and study trade-offs between the crossing resolution (i.e., the minimum angle formed by two crossing segments), the curve complexity (i.e., maximum number of bends per edge), the total number of bends, and the area.

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Authors and Affiliations

  1. Dip. di Ingegneria Elettronica e dell’Informazione, Università degli Studi di Perugia, Perugia, Italy

    Emilio Di Giacomo, Walter Didimo & Giuseppe Liotta

  2. Roosevelt Academy, Middelburg, the Netherlands

    Henk Meijer

Authors
  1. Emilio Di Giacomo
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  2. Walter Didimo
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  3. Giuseppe Liotta
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  4. Henk Meijer
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Corresponding author

Correspondence to Emilio Di Giacomo.

Additional information

A preliminary version of this paper has appeared in [3]. This work was supported in part by MIUR of Italy under project AlgoDEEP prot. 2008TFBWL4.

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Di Giacomo, E., Didimo, W., Liotta, G. et al. Area, Curve Complexity, and Crossing Resolution of Non-Planar Graph Drawings. Theory Comput Syst 49, 565–575 (2011). https://doi.org/10.1007/s00224-010-9275-6

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  • DOI: https://doi.org/10.1007/s00224-010-9275-6

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