A note on simplicial cliques

dc.contributor.authorChudnovsky, Maria
dc.contributor.authorScott, Alex
dc.contributor.authorSeymour, Paul
dc.contributor.authorSpirkl, Sophie
dc.date.accessioned2022-08-12T00:40:33Z
dc.date.available2022-08-12T00:40:33Z
dc.date.issued2021-09
dc.descriptionThe final publication is available at Elsevier via https://doi.org/10.1016/j.disc.2021.112470. © 2021. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.description.abstractMotivated by an application in condensed matter physics and quantum information theory, we prove that every non-null even-hole-free claw-free graph has a simplicial clique, that is, a clique K such that for every vertex v ε K, the set of neighbours of v outside of K is a clique. In fact, we prove the existence of a simplicial clique in a more general class of graphs defined by forbidden induced subgraphs.en
dc.description.sponsorshipSupported by NSF grant DMS-1763817. Supported by AFOSR grant A9550-19-1-0187 and NSF grant DMS-1800053. We acknowledge the support of the Natural Sciences and Engineering Research Council of Canada (NSERC), [funding reference number RGPIN-2020-03912]. Cette recherche a été financée par le Conseil de recherches en sciences naturelles et en génie du Canada (CRSNG), [numéro de référence RGPIN-2020-03912].en
dc.identifier.urihttps://doi.org/10.1016/j.disc.2021.112470
dc.identifier.urihttp://hdl.handle.net/10012/18522
dc.language.isoenen
dc.publisherElsevieren
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectinduced subgraphsen
dc.subjectclaw-freeen
dc.subjecteven-hole-freeen
dc.subjectsimplicial cliqueen
dc.titleA note on simplicial cliquesen
dc.typeArticleen
dcterms.bibliographicCitationChudnovsky, M., Scott, A., Seymour, P., & Spirkl, S. (2021). A note on simplicial cliques. Discrete Mathematics, 344(9), 112470. https://doi.org/10.1016/j.disc.2021.112470en
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Combinatorics and Optimizationen
uws.peerReviewStatusRevieweden
uws.scholarLevelFacultyen
uws.typeOfResourceTexten

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