Publication details

Twin-width of Planar Graphs; a Short Proof

Authors

HLINĚNÝ Petr

Year of publication 2023
Type Article in Proceedings
Conference European Conference on Combinatorics, Graph Theory and Applications EUROCOMB’23
MU Faculty or unit

Faculty of Informatics

Citation
Doi http://dx.doi.org/10.5817/CZ.MUNI.EUROCOMB23-082
Keywords twin-width; planar graph
Description The fascinating question of the maximum value of twin-width on planar graphs is nowadays not far from a final resolution; there is a lower bound of coming from a construction by Král‘ and Lamaison [arXiv, September 2022], and an upper bound of by Hliněný and Jedelský [arXiv, October 2022]. The upper bound (currently best) of 7, however, is rather complicated and involved. We give a short and simple self-contained proof that the twin-width of planar graphs is at most 11.

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