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Characterize the complete set of unavoidable induced subgraphs that serve as structural obstructions to bounded pathwidth in graphs.

September 23, 2026Advances in CombinatoricsOpen Access

Induced subgraphs and tree decompositions XVIII. Obstructions to bounded pathwidth

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Characterize the complete set of unavoidable induced subgraphs that serve as structural obstructions to bounded pathwidth in graphs.
Analyzed linear graph decompositions and tree decompositions to evaluate pathwidth bounds.
Derived structural characterizations of unavoidable induced subgraphs using structural graph theory methods.
Provides a full classification of all unavoidable induced subgraphs present in graphs possessing sufficiently large pathwidth.
Identifies the exact structural obstructions that prevent graphs from having bounded pathwidth decompositions.

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Implication

Graph-theoretic analysis characterizes unavoidable induced subgraphs in graphs with large pathwidth, establishing complete structural obstructions for linear decompositions.

Cite This Study

Chudnovsky et al. (2026) studied this question.

synapsesocial.com/papers/6ab39d9f4f6cc12e38b510ac https://doi.org/10.19086/aic.2026.8

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Implication

Graph-theoretic analysis characterizes unavoidable induced subgraphs in graphs with large pathwidth, establishing complete structural obstructions for linear decompositions.

Induced subgraphs and tree decompositions XVIII. Obstructions to bounded pathwidth

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Discussion

Implication

Cite This Study

Induced subgraphs and tree decompositions XVIII. Obstructions to bounded pathwidth

Key Points

Discussion

Implication

Cite This Study

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