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Induced subgraphs and tree decompositions XIV. Non-adjacent neighbours in a hole.

dc.contributor.authorChudnovsky, Maria
dc.contributor.authorHajebi, Sepehr
dc.contributor.authorSpirkl, Sophie
dc.date.accessioned2024-10-28T14:38:19Z
dc.date.available2024-10-28T14:38:19Z
dc.date.issued2025-02
dc.description© 2024 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
dc.description.abstractA clock is a graph consisting of an induced cycle C and a vertex not in C with at least two non-adjacent neighbours in C. We show that every clock-free graph of large treewidth contains a "basic obstruction" of large treewidth as an induced subgraph: a complete graph, a subdivision of a wall, or the line graph of a subdivision of a wall.
dc.description.sponsorshipNSF-EPSRC, Grant DMS-2120644 || AFOSR Grant, FA9550-22-1-0083 || NSERC, RGPIN-2020-03912.
dc.identifier.urihttps://doi.org/10.1016/j.ejc.2024.104074
dc.identifier.urihttps://hdl.handle.net/10012/21169
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofseriesEuropean Journal of Combinatorics; 124; 104074
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.titleInduced subgraphs and tree decompositions XIV. Non-adjacent neighbours in a hole.
dc.typeArticle
dcterms.bibliographicCitationChudnovsky, M., Hajebi, S., & Spirkl, S. (2025). Induced subgraphs and tree decompositions XIV. non-adjacent neighbours in a Hole. European Journal of Combinatorics, 124, 104074. https://doi.org/10.1016/j.ejc.2024.104074
uws.contributor.affiliation1Faculty of Mathematics
uws.contributor.affiliation2Combinatorics and Optimization
uws.peerReviewStatusReviewed
uws.scholarLevelFaculty
uws.typeOfResourceTexten

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