Plethysms of Chromatic and Tutte Symmetric Functions
MetadataShow full item record
Plethysm 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.
Cite this version of the work
Sophie Spirkl, Logan Crew (2022). Plethysms of Chromatic and Tutte Symmetric Functions. UWSpace. http://hdl.handle.net/10012/18547
The following license files are associated with this item: