Spine Crossing Minimization in Upward Topological Book Embeddings

  • Tamara Mchedlidze
  • Antonios Symvonis
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5417)

Abstract

An upward topological book embedding of a planar st-digraph G is an upward planar drawing of G such that its vertices are aligned along the vertical line, called the spine, and each edge is represented as a simple Jordan curve which is divided by the intersections with the spine (spine crossings) into segments such that any two consecutive segments are located at opposite sides of the spine. When we treat the problem of obtaining an upward topological book embedding as an optimization problem, we are naturally interested in embeddings with the minimum possible number of spine crossing.

References

  1. 1.
    Mchedlidze, T., Symvonis, A.: Optimal acyclic hamiltonian path completion for outerplanar triangulated st-digraphs (with application to upward topological book embeddings). arXiv:0807.2330, http://arxiv.org/abs/0807.2330

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Tamara Mchedlidze
    • 1
  • Antonios Symvonis
    • 1
  1. 1.Dept. of MathematicsNational Technical University of AthensAthensGreece

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