Tutte polynomials for regular oriented matroids

DOI10.1016/j.disc.2023.113687zbMath1525.05091arXiv2204.00162MaRDI QIDQ6080143

Jordan Awan, Olivier Bernardi

Publication date: 30 October 2023

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

Full work available at URL: https://arxiv.org/abs/2204.00162

zbMATH Keywords

Potts modelregular matroidcombinatorial reciprocitypartially oriented matroid

Mathematics Subject Classification ID

Graph polynomials (05C31) Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of matroids and geometric lattices (05B35)

Cites Work

• Chromatic quasisymmetric functions
• Antisymmetric flows in matroids
• Circuit-cocircuit reversing systems in regular matroids
• Convexity in oriented matroids
• Antisymmetric flows and strong colourings of oriented graphs
• A convolution formula for the Tutte polynomial
• Hopf algebras and Tutte polynomials
• A symmetric function generalization of the chromatic polynomial of a graph
• The dichromatic number of a digraph
• The chromatic polynomial of a digraph
• Tutte's dichromate for signed graphs
• Tutte polynomials for directed graphs
• The NL-flow polynomial
• The Potts model and the Tutte polynomial
• An Invitation to Ehrhart Theory: Polyhedral Geometry and its Applications in Enumerative Combinatorics
• Contractors for flows
• Polynomials Associated with Finite Gell-Complexes
• A Contribution to the Theory of Chromatic Polynomials
• Hopf Monoids and Generalized Permutahedra
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item