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DAGmaps and ε-Visibility Representations of DAGs

  • Vassilis Tsiaras
  • Ioannis G. Tollis
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5849)

Abstract

DAGmaps are space filling visualizations of DAGs that generalize treemaps. Deciding whether or not a DAG admits a DAGmap is NP-complete. Recently we defined a special case called one-dimensional DAGmap where the admissibility is decided in linear time. However there is no complete characterization of the class of DAGs that admit a one-dimensional DAGmap. In this paper we prove that a DAG admits a one-dimensional DAGmap if and only if it admits a directed ε-visibility representation. Then we give a characterization of the DAGs that admit directed ε-visibility representations. Finally we show that a DAGmap defines a directed three-dimensional ε-visibility representation of a DAG.

Keywords

DAGmap Treemap DAG Visibility 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Vassilis Tsiaras
    • 1
  • Ioannis G. Tollis
    • 1
  1. 1.Institute of Computer Science, Foundation for Research and Technology-Hellas, Department of Computer ScienceUniversity of CreteHeraklionGreece

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