Trémaux trees and planarity

  • Authors:
  • Hubert de Fraysseix;Patrice Ossona de Mendez

  • Affiliations:
  • -;-

  • Venue:
  • European Journal of Combinatorics
  • Year:
  • 2012

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Abstract

We present a characterization of planarity based on Tremaux trees (i.e. DFS trees), from which we deduce a rather simple planarity test algorithm. We finally recall a theorem on ''cotree critical non-planar graphs'' which very much simplifies the search for a Kuratowski subdivision in a non-planar graph.