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Trémaux trees and planarity

Hubert De Fraysseix·Patrice Ossona De Mendez·Pierre Rosenstiehl
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Abstract

We present a simplified version of the DFS-based Left-Right planarity testing and embedding algorithm implemented in Pigale which has been considered as the fastest implemented one [J.M. Boyer, P.F. Cortese, M. Patrignani, and G. Di Battista. Stop minding your P's and Q's: implementing fast and simple DFS-based planarity and embedding algorithm. In Graph Drawing, volume 2912 of Lecture Notes in Computer Science, pages 25-36. Springer, 2004.]. We give here a simple full justification of the algorithm, based on a preliminary extended study of topological properties of DFS trees.

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Hubert De Fraysseix, Patrice Ossona De Mendez, Pierre Rosenstiehl. 2006-10-30. Trémaux trees and planarity. https://doi.org/10.1142/s0129054106004248

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