Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive, and their backstable limit recovers the known fundamental-basis expansion of chromatic quasisymmetric functions.
Macdonald polynomials and chromatic quasisymmetric functions
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We express the integral form Macdonald polynomials as a weighted sum of Shareshian and Wachs' chromatic quasisymmetric functions of certain graphs. Then we use known expansions of these chromatic quasisymmetric functions into Schur and power sum symmetric functions to provide Schur and power sum formulas for the integral form Macdonald polynomials. Since the (integral form) Jack polynomials are a specialization of integral form Macdonald polynomials, we obtain analogous formulas for Jack polynomials as corollaries.
fields
math.CO 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive
Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive, and their backstable limit recovers the known fundamental-basis expansion of chromatic quasisymmetric functions.