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dc.contributor.authorScott, Alex
dc.contributor.authorSeymour, Paul
dc.contributor.authorSpirkl, Sophie 14:27:05 (GMT) 14:27:05 (GMT)
dc.description(c) Society for Industrial and Applied Mathematics. Scott, A., Seymour, P., & Spirkl, S. T. (2024a). Pure pairs. ix. transversal trees. SIAM Journal on Discrete Mathematics, 38(1), 645–667.
dc.description.abstractFix k>0, and let G be a graph, with vertex set partitioned into k subsets ("blocks") of approximately equal size. An induced subgraph of G is "transversal" (with respect to this partition) if it has exactly one vertex in each block (and therefore it has exactly k vertices). A "pure pair" in G is a pair X,Y of disjoint subsets of V(G) such that either all edges between X,Y are present or none are; and in the present context we are interested in pure pairs (X,Y) where each of X,Y is a subset of one of the blocks, and not the same block. This paper collects several results and open questions concerning how large a pure pair must be present if various types of transversal subgraphs are excluded.en
dc.description.sponsorshipEPSRC, EP/V007327/1 || AFOSR, FA9550-22-1-0234 || AFOSR, A9550-19-1-0187 || NSF, DMS-2154169 || NSERC, RGPIN-2020-03912.en
dc.publisherSociety for Industrial and Applied Mathematicsen
dc.relation.ispartofseriesSIAM Journal on Discrete Mathematics;38(1)
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.subjectinduced subgraphsen
dc.subjectpure pairsen
dc.titlePure Pairs. IX. Transversal Treesen
dcterms.bibliographicCitationScott, A., Seymour, P., & Spirkl, S. T. (2024). Pure pairs. ix. transversal trees. SIAM Journal on Discrete Mathematics, 38(1), 645–667.
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Combinatorics and Optimizationen

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