# Shallow Minors, Graph Products and Beyond Planar Graphs

@inproceedings{Hickingbotham2021ShallowMG, title={Shallow Minors, Graph Products and Beyond Planar Graphs}, author={Robert Hickingbotham and David R. Wood}, year={2021} }

The planar graph product structure theorem of Dujmović, Joret, Micek, Morin, Ueckerdt, and Wood [J. ACM 2020] states that every planar graph is a subgraph of the strong product of a graph with bounded treewidth and a path. This result has been the key tool to resolve important open problems regarding queue layouts, nonrepetitive colourings, centered colourings, and adjacency labelling schemes. In this paper, we extend this line of research by utilizing shallow minors to prove analogous product…

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## 8 Citations

Product structure of graph classes with bounded treewidth

- MathematicsArXiv
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We show that many graphs with bounded treewidth can be described as subgraphs of the strong product of a graph with smaller treewidth and a bounded-size complete graph. To this end, deﬁne the…

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