Melting lollipop chromatic quasisymmetric functions and Schur expansion of unicellular LLT polynomials

DOI10.1016/j.disc.2019.111728zbMath1431.05148arXiv1812.03445OpenAlexW2990085360MaRDI QIDQ2286587

Meesue Yoo, Sun-Young Nam, JiSun Huh

Publication date: 22 January 2020

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.03445

zbMATH Keywords

LLT polynomialslollipop graph\(e\)-positivitychromatic quasisymmetric function\((3 + 1)\)-free posetnatural unit interval order

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)

Related Items (16)

A combinatorial expansion of vertical-strip LLT polynomials in the basis of elementary symmetric functions ⋮ Plethysms of chromatic and Tutte symmetric functions ⋮ Bases of the equivariant cohomologies of regular semisimple Hessenberg varieties ⋮ A combinatorial Schur expansion of triangle-free horizontal-strip LLT polynomials ⋮ Horizontal-strip LLT polynomials ⋮ Cyclic sieving, skew Macdonald polynomials and Schur positivity ⋮ A horizontal-strip LLT polynomial is determined by its weighted graph ⋮ Haglund's conjecture for multi-\(t\) Macdonald polynomials ⋮ Chromatic symmetric functions from the modular law ⋮ LLT polynomials, elementary symmetric functions and melting lollipops ⋮ Chromatic symmetric functions in noncommuting variables revisited ⋮ Extended chromatic symmetric functions and equality of ribbon Schur functions ⋮ Schur and \(e\)-positivity of trees and cut vertices ⋮ A combinatorial Schur expansion of triangle-free horizontal-strip LLT polynomials ⋮ LLT cumulants and graph coloring ⋮ The second cohomology of regular semisimple Hessenberg varieties from GKM theory

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