Tri-Edge-Connectivity Augmentation for Planar Straight Line Graphs

  • Marwan Al-Jubeh
  • Mashhood Ishaque
  • Kristóf Rédei
  • Diane L. Souvaine
  • Csaba D. Tóth
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5878)


It is shown that if a planar straight line graph (Pslg) with n vertices in general position in the plane can be augmented to a 3-edge-connected Pslg, then 2n − 2 new edges are enough for the augmentation. This bound is tight: there are Pslgs with n ≥ 4 vertices such that any augmentation to a 3-edge-connected Pslg requires 2n − 2 new edges.


Convex Hull Outer Face Simple Polygon Geometric Graph Convex Position 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Marwan Al-Jubeh
    • 1
  • Mashhood Ishaque
    • 1
  • Kristóf Rédei
    • 1
  • Diane L. Souvaine
    • 1
  • Csaba D. Tóth
    • 1
    • 2
  1. 1.Department of Computer ScienceTufts UniversityMedfordUSA
  2. 2.Department of MathematicsUniversity of CalgaryCanada

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