Quasisymmetric and Schur expansions of cycle index polynomials
From MaRDI portal
Publication:1618226
DOI10.1016/j.disc.2018.09.008zbMath1400.05263OpenAlexW2896340557WikidataQ129126548 ScholiaQ129126548MaRDI QIDQ1618226
Gregory S. Warrington, Nicholas A. Loehr
Publication date: 13 November 2018
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.disc.2018.09.008
perfect matchingsPólya's theoremweighted coloringscycle index polynomialsfundamental quasisymmetric polynomialsSchur symmetric polynomials
Symmetric functions and generalizations (05E05) Symmetric groups (20B30) Group actions on combinatorial structures (05E18)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Chromatic quasisymmetric functions
- Matrices, characters and descents
- Counting with symmetric functions
- Schur-positive sets of permutations via products and grid classes
- A quasisymmetric function generalization of the chromatic symmetric function
- From quasisymmetric expansions to Schur expansions via a modified inverse Kostka matrix
- Perfect matchings of a graph associated with a binary de Bruijn digraph
- Scheduling problems
- On the number of reduced decompositions of elements of Coxeter groups
- Counting permutations with given cycle structure and descent set
- Generalized riffle shuffles and quasisymmetric functions
- A combinatorial formula for the character of the diagonal coinvariants
- A symmetric function generalization of the chromatic polynomial of a graph
- Quasi-symmetric functions and up-down compositions
- Power sum expansion of chromatic quasisymmetric functions
- Comparing skew Schur functions: a quasisymmetric perspective
- \(P\)-partition products and fundamental quasi-symmetric function positivity
- Kombinatorische Anzahlbestimmungen für Gruppen, Graphen und chemische Verbindungen
- A Compositional Shuffle Conjecture Specifying Touch Points of the Dyck Path
- DUAL EQUIVALENCE GRAPHS I: A NEW PARADIGM FOR SCHUR POSITIVITY
- A combinatorial formula for Macdonald polynomials
- An Introduction to Quasisymmetric Schur Functions
- Combinatorics, Second Edition
- Quasisymmetric expansions of Schur-function plethysms
- Word symmetric functions and the Redfield-P\'olya
This page was built for publication: Quasisymmetric and Schur expansions of cycle index polynomials