The authors introduce linked rook placements and prove a Hall-Littlewood expansion for chromatic quasisymmetric functions, with a corollary for unicellular LLT polynomials that is shown to be false by a small example.
Chromatic symmetric functions from the modular law
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Hall--Littlewood expansions of chromatic quasisymmetric polynomials using linked rook placements
The authors introduce linked rook placements and prove a Hall-Littlewood expansion for chromatic quasisymmetric functions, with a corollary for unicellular LLT polynomials that is shown to be false by a small example.