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arXiv · 2210.13720

Graphs of Linear Growth have Bounded Treewidth

Rutger Campbell·Marc Distel·J. Pascal Gollin·Daniel J. Harvey·Kevin Hendrey·Robert Hickingbotham·Bojan Mohar·David R. Wood
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Abstract

A graph class $\mathcal{G}$ has linear growth if, for each graph $G \in \mathcal{G}$ and every positive integer $r$, every subgraph of $G$ with radius at most $r$ contains $O(r)$ vertices. In this paper, we show that every graph class with linear growth has bounded treewidth.

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Rutger Campbell, Marc Distel, J. Pascal Gollin, Daniel J. Harvey, Kevin Hendrey, Robert Hickingbotham, Bojan Mohar, David R. Wood. 2022-10-25. Graphs of Linear Growth have Bounded Treewidth. https://arxiv.org/abs/2210.13720

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