Universal Point Sets for Planar Three-Trees

  • Radoslav Fulek
  • Csaba D. Tóth
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8037)

Abstract

For every n ∈ ℕ, we present a set Sn of O(n5/3) points in the plane such that every planar 3-tree with n vertices has a straight-line embedding in the plane in which the vertices are mapped to a subset of Sn. This is the first subquadratic upper bound on the size of universal point sets for planar 3-trees, as well as for the class of 2-trees and serial parallel graphs.

Keywords

planar 3-tree universal point set straight-line embedding 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Radoslav Fulek
    • 1
  • Csaba D. Tóth
    • 2
    • 3
  1. 1.Charles UniversityPragueCzech Republic
  2. 2.California State UniversityNorthridgeUSA
  3. 3.University of CalgaryCanada

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