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dc.contributor.authorSpirkl, Sophie
dc.contributor.authorCrew, Logan
dc.date.accessioned2022-08-15 16:52:52 (GMT)
dc.date.available2022-08-15 16:52:52 (GMT)
dc.date.issued2022
dc.identifier.urihttps://doi.org/10.37236/10637
dc.identifier.urihttp://hdl.handle.net/10012/18547
dc.description.abstractPlethysm is a fundamental operation in symmetric function theory, derived directly from its connection with representation theory. However, it does not admit a simple combinatorial interpretation, and finding coefficients of Schur function plethysms is a major open question. In this paper, we introduce a graph-theoretic interpretation for any plethysm based on the chromatic symmetric function. We use this interpretation to give simple proofs of new and previously known plethystic identities, as well as chromatic symmetric function identities.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.language.isoenen
dc.publisherThe Electronic Journal of Combinatoricsen
dc.rightsAttribution-NoDerivatives 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nd/4.0/*
dc.subjecttutte symmetric functionsen
dc.subjectplethysmsen
dc.titlePlethysms of Chromatic and Tutte Symmetric Functionsen
dc.typeArticleen
dcterms.bibliographicCitationCrew, L., & Spirkl, S. (2022). Plethysms of Chromatic and Tutte Symmetric Functions. The Electronic Journal of Combinatorics, P3.28-P3.28. https://doi.org/10.37236/10637en
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Combinatorics and Optimizationen
uws.typeOfResourceTexten
uws.peerReviewStatusRevieweden
uws.scholarLevelFacultyen


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