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September 30, 2025Open Access

Bounding Width on Graph Classes of Constant Diameter

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The study classifies the change of treedepth from unbounded to bounded in graphs with bounded diameter.
It specifically focuses on graphs defined by forbidding certain graphs as minors or subgraphs.
Classifications of treedepth are provided for diameters up to 5, with partial classifications for 2 and 3.
The findings imply important structural distinctions for various graph classes based on minor and induced subgraph constraints.

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Analysis reveals conditions for treedepth boundedness in graphs with diameter constraints, suggesting new insights.

Dabrowski et al. (2025) studied this question.

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