Treewidth 2 in the Planar Graph Product Structure Theorem

We prove that every planar graph is contained in $H_1\boxtimes H_2\boxtimes K_2$ for some graphs $H_1$ and $H_2$ both with treewidth 2. This resolves a question of Liu, Norin and Wood [arXiv:2410.20333]. We also show this result is best possible: for any $c \in \mathbb{N}$, there is a planar graph $...

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Bibliographic Details
Main Authors: Marc Distel, Kevin Hendrey, Nikolai Karol, David R. Wood, Jung Hon Yip
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2025-03-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:http://dmtcs.episciences.org/14785/pdf
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