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Straight-Line Rectangular Drawings of Clustered Graphs

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Algorithms and Data Structures (WADS 2009)

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Abstract

We show that every c-planar clustered graph admits a straight-line c-planar drawing in which each cluster is represented by an axis-parallel rectangle, thus solving a problem posed by Eades, Feng, Lin, and Nagamochi [Algorithmica, 2006].

Fabrizio Frati was partially supported by the Italian Ministry of Research, Grant RBIP06BZW8, project “Advanced tracking system in intermodal freight transportation”. Michael Kaufmann was partially supported by the German Research Foundation (DFG), Grant KA812/13-1, project “Scalable visual analytics”.

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References

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Angelini, P., Frati, F., Kaufmann, M. (2009). Straight-Line Rectangular Drawings of Clustered Graphs. In: Dehne, F., Gavrilova, M., Sack, JR., Tóth , C.D. (eds) Algorithms and Data Structures. WADS 2009. Lecture Notes in Computer Science, vol 5664. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03367-4_3

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  • DOI: https://doi.org/10.1007/978-3-642-03367-4_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03366-7

  • Online ISBN: 978-3-642-03367-4

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