Power sum expansion of chromatic quasisymmetric functions
The electronic journal of combinatorics, Tome 22 (2015) no. 2
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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.
DOI : 10.37236/4761
Classification : 05E05, 05C30, 05C15
Mots-clés : graph coloring, quasisymmetric function, power sum symmetric function, interval order, descent, acyclic orientation

Christos A. Athanasiadis  1

1 National and Kapodistrian University of Athens
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Christos A. Athanasiadis. Power sum expansion of chromatic quasisymmetric functions. The electronic journal of combinatorics, Tome 22 (2015) no. 2. doi: 10.37236/4761

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