The Fortuin-Kasteleyn polynomial as a bialgebra morphism and applications to the Tutte polynomial
Fuente:
arXiv
Saved in:
| Main Authors: | Foissy, Loïc, Malvenuto, Claudia |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Operads and bialgebras of multi-indices, and Novikov algebras
by: Foissy, Loïc
Published: (2025)
by: Foissy, Loïc
Published: (2025)
Cointeraction on noncrossing partitions and related polynomial invariants
by: Foissy, Loïc
Published: (2025)
by: Foissy, Loïc
Published: (2025)
Matrix symmetric and quasi-symmetric functions and noncommutative representation theory
by: Foissy, Loïc, et al.
Published: (2025)
by: Foissy, Loïc, et al.
Published: (2025)
The self-dual point of Fortuin--Kasteleyn planar maps is critical
by: Berestycki, Nathanaël, et al.
Published: (2025)
by: Berestycki, Nathanaël, et al.
Published: (2025)
Cocycle weighted infinitesimal bialgebras and pre-Lie algebras on rooted trees
by: Foissy, Loïc, et al.
Published: (2025)
by: Foissy, Loïc, et al.
Published: (2025)
Tutte polynomials in superspace
by: Rhoades, Brendon, et al.
Published: (2024)
by: Rhoades, Brendon, et al.
Published: (2024)
Permutation Tutte polynomial
by: Beke, Csongor, et al.
Published: (2023)
by: Beke, Csongor, et al.
Published: (2023)
The antipode of of a Com-PreLie Hopf algebra
by: Foissy, Loïc
Published: (2024)
by: Foissy, Loïc
Published: (2024)
Hopf-algebraic structures on mixed graphs
by: Foissy, Loïc
Published: (2023)
by: Foissy, Loïc
Published: (2023)
Construction of pre-and post-Lie algebras for stochastic PDEs
by: Foissy, Loïc
Published: (2025)
by: Foissy, Loïc
Published: (2025)
Bialgebraic structures on boolean functions
by: Foissy, Loïc
Published: (2026)
by: Foissy, Loïc
Published: (2026)
Csikvári's poset and Tutte polynomial
by: Ding, Changxin
Published: (2024)
by: Ding, Changxin
Published: (2024)
On the irreducibility and monodromy of Tutte polynomials
by: Goodall, Andrew, et al.
Published: (2025)
by: Goodall, Andrew, et al.
Published: (2025)
On maximum graphs in Tutte polynomial posets
by: Kahl, Nathan, et al.
Published: (2024)
by: Kahl, Nathan, et al.
Published: (2024)
On the compatible sets expansion of the Tutte polynomial
by: Pierson, Laura
Published: (2022)
by: Pierson, Laura
Published: (2022)
A recurrence for certain Tutte polynomials
by: Brugidou, Vincent
Published: (2025)
by: Brugidou, Vincent
Published: (2025)
Extreme coefficients of multiplicity Tutte polynomials
by: Jin, Xian'an, et al.
Published: (2023)
by: Jin, Xian'an, et al.
Published: (2023)
Tutte polynomials of matroids as universal valuative invariants
by: Ferroni, Luis, et al.
Published: (2024)
by: Ferroni, Luis, et al.
Published: (2024)
A recursive definition for the polymatroid Tutte polynomial
by: Guan, Xiaxia, et al.
Published: (2025)
by: Guan, Xiaxia, et al.
Published: (2025)
Chain Tutte polynomials
by: Wakefield, Max
Published: (2023)
by: Wakefield, Max
Published: (2023)
Constructing a Tutte polynomial for graphs embedded in surfaces
by: Moffatt, Iain
Published: (2025)
by: Moffatt, Iain
Published: (2025)
Multivariate Tutte polynomials of semimatroids
by: Fu, Houshan
Published: (2025)
by: Fu, Houshan
Published: (2025)
Commutative B\_infty -algebras are shuffle algebras
by: Foissy, Loïc, et al.
Published: (2024)
by: Foissy, Loïc, et al.
Published: (2024)
Multipath matroids, digraph colourings, and the Tutte polynomial
by: Caputi, Luigi, et al.
Published: (2024)
by: Caputi, Luigi, et al.
Published: (2024)
Cocommutative Com-PreLie bialgebras
by: Foissy, Loïc
Published: (2018)
by: Foissy, Loïc
Published: (2018)
A direct proof of well-definedness for the polymatroid Tutte polynomial
by: Guan, Xiaxia, et al.
Published: (2024)
by: Guan, Xiaxia, et al.
Published: (2024)
Inconsequential results on the Merino-Welsh conjecture for Tutte polynomials
by: Kung, Joseph P. S.
Published: (2021)
by: Kung, Joseph P. S.
Published: (2021)
The Tutte polynomials of genus $g$
by: Miezaki, Tsuyoshi, et al.
Published: (2024)
by: Miezaki, Tsuyoshi, et al.
Published: (2024)
A coarse Tutte polynomial for hypermaps
by: Ellis-Monaghan, Joanna A., et al.
Published: (2024)
by: Ellis-Monaghan, Joanna A., et al.
Published: (2024)
Coefficients of univariate Tutte polynomials with one variable fixed
by: Ma, Tianlong, et al.
Published: (2025)
by: Ma, Tianlong, et al.
Published: (2025)
A quasi-tree expansion for the surface Tutte polynomial
by: Thompson, Maya
Published: (2025)
by: Thompson, Maya
Published: (2025)
Lattice path matroids: enumerative aspects and Tutte polynomials
by: Bonin, Joseph E., et al.
Published: (2002)
by: Bonin, Joseph E., et al.
Published: (2002)
Realizing the Tutte polynomial as a cut-and-paste K-theoretic invariant
by: Lopez, Mauricio Gomez
Published: (2025)
by: Lopez, Mauricio Gomez
Published: (2025)
Mixing rate exponent of planar Fortuin-Kasteleyn percolation
by: Liu, Haoyu, et al.
Published: (2025)
by: Liu, Haoyu, et al.
Published: (2025)
The two-variable hypergraph Tutte polynomial via embedding activities
by: Tóthmérész, Lilla
Published: (2023)
by: Tóthmérész, Lilla
Published: (2023)
Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors
by: Foissy, Loic, et al.
Published: (2025)
by: Foissy, Loic, et al.
Published: (2025)
A co-preLie structure from chronological loop erasure in graph walks
by: Foissy, Loïc, et al.
Published: (2023)
by: Foissy, Loïc, et al.
Published: (2023)
Correction-to-scaling exponent for percolation and the Fortuin--Kasteleyn Potts model in two dimensions
by: Xu, Yihao, et al.
Published: (2024)
by: Xu, Yihao, et al.
Published: (2024)
New refinements of Narayana polynomials and Motzkin polynomials
by: Dong, Janet J. W., et al.
Published: (2024)
by: Dong, Janet J. W., et al.
Published: (2024)
Weak maps and the Tutte Polynomial
by: Cho, Christine, et al.
Published: (2025)
by: Cho, Christine, et al.
Published: (2025)
Similar Items
-
Operads and bialgebras of multi-indices, and Novikov algebras
by: Foissy, Loïc
Published: (2025) -
Cointeraction on noncrossing partitions and related polynomial invariants
by: Foissy, Loïc
Published: (2025) -
Matrix symmetric and quasi-symmetric functions and noncommutative representation theory
by: Foissy, Loïc, et al.
Published: (2025) -
The self-dual point of Fortuin--Kasteleyn planar maps is critical
by: Berestycki, Nathanaël, et al.
Published: (2025) -
Cocycle weighted infinitesimal bialgebras and pre-Lie algebras on rooted trees
by: Foissy, Loïc, et al.
Published: (2025)