Induced subgraphs and tree decompositions XVIII. Obstructions to bounded pathwidth
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.
Fields of Study & Subjects
Advanced Graph Theory Research
Publication details
- Journal / source
- Advances in Combinatorics
- Publication date
- 21 September 2026
- Language
- EN