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dc.contributor.authorCarbonero, Alvaro
dc.contributor.authorHompe, Patrick
dc.contributor.authorMoore, Benjamin
dc.contributor.authorSpirkl, Sophie 14:39:45 (GMT) 14:39:45 (GMT)
dc.descriptionThe final publication is available at Elsevier via © 2023. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
dc.description.abstractWe prove that for every n, there is a graph G with χ(G) ≥ n and ω(G) ≤ 3 such that every induced subgraph H of G with ω(H) ≤ 2 satisfies χ(H) ≤ 4.This disproves a well-known conjecture. Our construction is a digraph with bounded clique number, large dichromatic number, and no induced directed cycles of odd length at least 5.en
dc.description.sponsorshipWe acknowledge the support of the Natural Sciences and Engineering Research Council of Canada (NSERC), [funding reference number RGPIN-2020-03912].en
dc.publisherElsevier ScienceDirecten
dc.relation.ispartofseriesJournal of Combinatorial Theory, Series B;
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.subjectinduced subgraphen
dc.subjectdirected graphen
dc.titleA Counterexample to a Conjecture About Triangle-Free Induced Subgraphs of Graphs with Large Chromatic Numberen
dcterms.bibliographicCitationCarbonero, A., Hompe, P., Moore, B., & Spirkl, S. (2023). A counterexample to a conjecture about triangle-free induced subgraphs of graphs with large chromatic number. Journal of Combinatorial Theory, Series B, 158, 63–69.
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Combinatorics and Optimizationen

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