Trémaux Trees and Planarity

@article{Fraysseix2006TrmauxTA,
  title={Tr{\'e}maux Trees and Planarity},
  author={H. D. Fraysseix and P. D. Mendez and P. Rosenstiehl},
  journal={Int. J. Found. Comput. Sci.},
  year={2006},
  volume={17},
  pages={1017-1030}
}
We present a simplified version of the DFS-based Left-Right planarity testing and embedding algorithm implemented in Pigale [1, 2], which has been considered as the fastest implemented one [3]. We give here a full justification of the algorithm, based on a topological properties of Tremaux trees. 
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