A unique factorization theorem for matroids

DOI10.1016/j.jcta.2005.02.004zbMath1076.05020arXivmath/0409099OpenAlexW2003601926MaRDI QIDQ2575804

Yanyan Li

Publication date: 6 December 2005

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409099

zbMATH Keywords

Free algebraFree productCofree coalgebraMinor coalgebra

Mathematics Subject Classification ID

Related Items (12)

The intersection ring of matroids ⋮ Connectivity gaps among matroids with the same enumerative invariants ⋮ The free product of M-fuzzifying matroids1 ⋮ A matroid-friendly basis for the quasisymmetric functions ⋮ The \(\mathcal{G}\)-invariant and catenary data of a matroid ⋮ Splicing matroids ⋮ On the asymptotic proportion of connected matroids ⋮ Symmetric and quasi-symmetric functions associated to polymatroids ⋮ Weighted quasisymmetric enumerator for generalized permutohedra ⋮ Primitive elements in the matroid-minor Hopf algebra ⋮ A quasisymmetric function for matroids ⋮ Semidirect sums of matroids

Cites Work

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• Incidence Hopf algebras
• The Catalan matroid
• Lattice path matroids: Enumerative aspects and Tutte polynomials
• The free product of matroids
• A free subalgebra of the algebra of matroids
• Single-element extensions of matroids
• Strong maps of geometries
• A bound for the number of matroids

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