Browsing Mathematics (Faculty of) by Subject "Tutte symmetric function"
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Modular relations of the Tutte symmetric function
(Elsevier, 2022-04)For a graph G, its Tutte symmetric function XBG generalizes both the Tutte polynomial TG and the chromatic symmetric function XG. We may also consider XB as a map from the t-extended Hopf algebra G[t] of labelled graphs ... -
A Vertex-Weighted Tutte Symmetric Function, and Constructing Graphs with Equal Chromatic Symmetric Function
(The Electronic Journal of Combinatorics, 2021-04-09)This paper has two main parts. First, we consider the Tutte symmetric function XB, a generalization of the chromatic symmetric function. We introduce a vertex-weighted version ofXB, show that this function admits a ...