Power Sum Expansion of Chromatic Quasisymmetric Functions
Copyright policy )Power Sum Expansion of Chromatic Quasisymmetric Functions
The chromatic quasisymmetric function of a graph was introduced by Shareshian and Wachs as a refinement of Stanley's chromatic symmetric function. An explicit combinatorial formula, conjectured by Shareshian and Wachs, expressing the chromatic quasisymmetric function of the incomparability graph of a natural unit interval order in terms of power sum symmetric functions, is proven. The proof uses a formula of Roichman for the irreducible characters of the symmetric group.
Symmetric functions and generalizations, acyclic orientation, Enumeration in graph theory, descent, power sum symmetric function, Coloring of graphs and hypergraphs, quasisymmetric function, interval order, graph coloring, FOS: Mathematics, 05E05, Mathematics - Combinatorics, Combinatorics (math.CO)
Symmetric functions and generalizations, acyclic orientation, Enumeration in graph theory, descent, power sum symmetric function, Coloring of graphs and hypergraphs, quasisymmetric function, interval order, graph coloring, FOS: Mathematics, 05E05, Mathematics - Combinatorics, Combinatorics (math.CO)
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