Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive

DOI10.1090/proc/15664zbMath1484.05108arXiv1908.06598OpenAlexW2968882641MaRDI QIDQ5863132

Andrew Timothy Wilson, Philip B. Zhang, Vasu V. Tewari

Publication date: 11 March 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.06598

zbMATH Keywords

chromatic quasisymmetric functionDyck graphchromatic nonsymmetric polynomial

Mathematics Subject Classification ID

Graph polynomials (05C31) Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05) Coloring of graphs and hypergraphs (05C15)

Cites Work

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• Chromatic quasisymmetric functions
• Schubert polynomials, slide polynomials, Stanley symmetric functions and quasi-Yamanouchi pipe dreams
• LLT polynomials, chromatic quasisymmetric functions and graphs with cycles
• A symmetric function generalization of the chromatic polynomial of a graph
• Descents, quasi-symmetric functions, Robinson-Schensted for posets, and the chromatic symmetric function
• Flagged \(( \mathcal{P}, \rho)\)-partitions
• Noncommutative unicellular LLT polynomials
• Macdonald polynomials and chromatic quasisymmetric functions
• Power sum expansion of chromatic quasisymmetric functions
• A proof of the shuffle conjecture
• Back stable Schubert calculus
• Asymmetric Function Theory
• Unit interval orders and the dot action on the cohomology of regular semisimple Hessenberg varieties

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