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math.CO2020
H-chromatic symmetric functions
Nancy Mae Eagles, Angèle M. Foley, Alice Huang +2
We introduce -chromatic symmetric functions, , which use the -coloring of a graph to define a generalization of Stanley's chromatic symmetric functions. We say…
math.CO2020
Factorial supersymmetric skew Schur functions and ninth variation determinantal identities
Angèle M. Foley, Ronald C. King
The determinantal identities of Hamel and Goulden have recently been shown to apply to a tableau-based ninth variation of skew Schur functions. Here we extend this approach and its…
math.CO2020
Determinantal and Pfaffian identities for ninth variation skew Schur functions and Q-functions
Angèle M. Foley, Ronald C. King
Recently Okada defined algebraically ninth variation skew Q-functions, in parallel to Macdonald's ninth variation skew Schur functions. Here we introduce a skew shifted tableaux de…