Small Drawings of Series-Parallel Graphs and Other Subclasses of Planar Graphs

  • Therese Biedl
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5849)

Abstract

In this paper, we study small planar drawings of planar graphs. For arbitrary planar graphs, Θ(n2) is the established upper and lower bound on the worst-case area. It is a long-standing open problem for what graphs smaller area can be achieved, with results known only for trees and outer-planar graphs. We show here that series-parallel can be drawn in O(n3/2) area, but 2-outer-planar graphs and planar graphs of proper pathwidth 3 require Ω(n2) area.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Therese Biedl
    • 1
  1. 1.David R. Cheriton School of Computer ScienceUniversity of WaterlooWaterlooCanada

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