A Linear-Time Algorithm for Testing Outer-1-Planarity

  • Seok-Hee Hong
  • Peter Eades
  • Naoki Katoh
  • Giuseppe Liotta
  • Pascal Schweitzer
  • Yusuke Suzuki
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8242)

Abstract

A graph is 1-planar if it can be embedded in the plane with at most one crossing per edge. A graph is outer-1-planar if it has an embedding in which every vertex is on the outer face and each edge has at most one crossing. We present a linear time algorithm to test whether a graph is outer-1-planar. The algorithm can be used to produce an outer-1-planar embedding in linear time if it exists.

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Copyright information

© Springer International Publishing Switzerland 2013

Authors and Affiliations

  • Seok-Hee Hong
    • 1
  • Peter Eades
    • 1
  • Naoki Katoh
    • 2
  • Giuseppe Liotta
    • 3
  • Pascal Schweitzer
    • 4
  • Yusuke Suzuki
    • 5
  1. 1.University of SydneyAustralia
  2. 2.Kyoto UniversityJapan
  3. 3.University of PerugiaItaly
  4. 4.ETHSwitzerland
  5. 5.Niigata UniversityJapan

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