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Thursday, September 17, 2020

Thursday, September 17, 2020 — 2:30 PM EDT

Title: Edge Deletion-Contraction in the Chromatic and Tutte Symmetric Functions

Speaker: Logan Crew Affiliation: University of Waterloo Zoom: Contact Karen Yeats

Abstract:

We consider symmetric function analogues of the chromatic and Tutte polynomials on graphs whose vertices have positive integer weights. We show that in this setting these functions admit edge deletion-contraction relations akin to those of the corresponding polynomials, and we use these relations to give enumerative and/or inductive proofs of properties of these functions.

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