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arXiv · 2412.17756

Induced subgraphs and tree decompositions XVIII. Obstructions to bounded pathwidth

Maria Chudnovsky·Sepehr Hajebi·Sophie Spirkl
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Abstract

The pathwidth of a graph $G$ is the smallest $w\in \mathbb{N}$ such that $G$ can be constructed from a sequence of graphs, each on at most $w+1$ vertices, by gluing them together in a linear fashion. We provide a full classification of the unavoidable induced subgraphs of graphs with large pathwidth.

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Maria Chudnovsky, Sepehr Hajebi, Sophie Spirkl. 2026-09-22. Induced subgraphs and tree decompositions XVIII. Obstructions to bounded pathwidth. https://doi.org/10.19086/aic.2026.8

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