A vertex-weighted Tutte symmetric function, and constructing graphs with equal chromatic symmetric function
From MaRDI portal
Publication:2662342
DOI10.37236/10018zbMath1461.05236arXiv2007.11042OpenAlexW3154860730MaRDI QIDQ2662342
José Zamora, Logan Crew, Sophie Spirkl, José Aliste-Prieto
Publication date: 12 April 2021
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.11042
Related Items (7)
\(H\)-chromatic symmetric functions ⋮ Plethysms of chromatic and Tutte symmetric functions ⋮ Marked Graphs and the Chromatic Symmetric Function ⋮ A horizontal-strip LLT polynomial is determined by its weighted graph ⋮ Extended chromatic symmetric functions and equality of ribbon Schur functions ⋮ Modular relations of the Tutte symmetric function ⋮ A Complete Multipartite Basis for the Chromatic Symmetric Function
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Chromatic quasisymmetric functions
- Proper caterpillars are distinguished by their chromatic symmetric function
- Graphs with equal chromatic symmetric functions
- The Tutte-Potts connection in the presence of an external magnetic field
- The kernel of chromatic quasisymmetric functions on graphs and hypergraphic polytopes
- \(G\)-parking functions, acyclic orientations and spanning trees
- Evaluating a weighted graph polynomial for graphs of bounded tree-width
- Intersection theory for graphs
- A weighted graph polynomial from chromatic invariants of knots
- The polychromate and a chord diagram polynomial
- Graph colorings and related symmetric functions: ideas and applications: A description of results, interesting applications, and notable open problems.
- Chromatic quasisymmetric functions of directed graphs
- LLT polynomials, chromatic quasisymmetric functions and graphs with cycles
- A symmetric function generalization of the chromatic polynomial of a graph
- A note on recognizing an old friend in a new place: list coloring and the zero-temperature Potts model
- A deletion-contraction relation for the chromatic symmetric function
- Tutte polynomials and \(G\)-parking functions
- Chromatic symmetric functions in noncommuting variables revisited
- Schur and \(e\)-positivity of trees and cut vertices
- Classes of graphs with \(e\)-positive chromatic symmetric function
- Isomorphism of weighted trees and Stanley's isomorphism conjecture for caterpillars
- On trees with the same restricted \(U\)-polynomial and the Prouhet-Tarry-Escott problem
- On the Potts model partition function in an external field
- The Potts model and chromatic functions of graphs
- Decomposable compositions, symmetric quasisymmetric functions and equality of ribbon Schur functions
- Graph Polynomials and Their Applications I: The Tutte Polynomial
- The Equivalence of Two Graph Polynomials and a Symmetric Function
- Lollipop and Lariat Symmetric Functions
- On $e$-Positivity and $e$-Unimodality of Chromatic Quasi-symmetric Functions
- On an Algorithm for Comparing the Chromatic Symmetric Functions of Trees
- A chromatic symmetric function in noncommuting variables
This page was built for publication: A vertex-weighted Tutte symmetric function, and constructing graphs with equal chromatic symmetric function