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Induced subgraphs and tree decompositions VIII. Excluding a forest in (theta, prism)-free graphs

Combinatorics 2025-04-08 v2
Authors: Tara Abrishami , Bogdan Alecu , Maria Chudnovsky , Sepehr Hajebi , Sophie Spirkl
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Abstract

Given a graph HH, we prove that every (theta, prism)-free graph of sufficiently large treewidth contains either a large clique or an induced subgraph isomorphic to HH, if and only if HH is a forest.

Keywords

induced subgraphs tree decompositions theta-free graphs prism-free graphs treewidth forests

Cite

@article{arxiv.2301.02138,
  title  = {Induced subgraphs and tree decompositions VIII. Excluding a forest in (theta, prism)-free graphs},
  author = {Tara Abrishami and Bogdan Alecu and Maria Chudnovsky and Sepehr Hajebi and Sophie Spirkl},
  journal= {arXiv preprint arXiv:2301.02138},
  year   = {2025}
}

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