Optimal branch-decomposition of planar graphs in O(n3) time

  • Authors:
  • Qian-Ping Gu;Hisao Tamaki

  • Affiliations:
  • School of Computing Science, Simon Fraser University, Burnaby, BC, Canada;School of Science and Technology, Meiji University, Kawasaki, Japan

  • Venue:
  • ICALP'05 Proceedings of the 32nd international conference on Automata, Languages and Programming
  • Year:
  • 2005

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Abstract

We give an O(n3) time algorithm for constructing a minimum-width branch-decomposition of a given planar graph with n vertices. This is achieved through a refinement to the previously best known algorithm of Seymour and Thomas, which runs in O(n4) time.