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math.CO2022
e-basis Coefficients of Chromatic Symmetric Functions
Logan Crew, Yongxing Zhang
A well-known result of Stanley's shows that given a graph with chromatic symmetric function expanded into the basis of elementary symmetric functions as , th…
math.CO2022
Homogeneous Sets in Graphs and a Chromatic Multisymmetric Function
Logan Crew, Evan Haithcock, Josephine Reynes +1
In this paper, we extend the chromatic symmetric function to a chromatic -multisymmetric function , defined for graphs equipped with a partition of their vertex set int…