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math.CO2024
Treewidth 2 in the Planar Graph Product Structure Theorem
Marc Distel, Kevin Hendrey, Nikolai Karol +2
We prove that every planar graph is contained in for some graphs and both with treewidth 2. This resolves a question of Liu, Norin and W…
math.CO2024
Treewidth, Hadwiger Number, and Induced Minors
Rutger Campbell, James Davies, Marc Distel +7
Treewidth and Hadwiger number are two of the most important parameters in structural graph theory. This paper studies graph classes in which large treewidth implies the existence o…
math.CO2024
Proper Minor-Closed Classes in Blowups of Fans
Marc Distel
Dujmović et al. [arXiv:2407.05936] showed that any -vertex planar graph is contained in a -blowup of a fan, and asked if the same holds for any -vertex…