The Merino-Welsh conjecture for split matroids

DOI10.1007/s00026-022-00628-wzbMath1526.05027arXiv2204.07132OpenAlexW4311718390WikidataQ122938713 ScholiaQ122938713MaRDI QIDQ6065691

Benjamin Schröter, Luis Ferroni

Publication date: 15 November 2023

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.07132

zbMATH Keywords

Tutte polynomialpaving matroidscopaving matroids

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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An inequality for Tutte polynomials
• Spanning trees and orientation of graphs
• Some inequalities for the Tutte polynomial
• A Tutte polynomial inequality for lattice path matroids
• The lattice of cyclic flats of a matroid
• Forests, colorings and acyclic orientations of the square lattice
• Hypergraph characterization of split matroids
• On the asymptotic proportion of connected matroids
• Matroids from hypersimplex splits
• The Merino-Welsh conjecture holds for series-parallel graphs
• On the Ehrhart polynomial of minimal matroids
• Excluded minors for the class of split matroids
• An extremal problem for non-separable matroids