The lattice of cyclic flats of a matroid

DOI10.1007/s00026-008-0344-3zbMath1145.05015arXivmath/0505689OpenAlexW2048889632MaRDI QIDQ941620

Joseph E. Bonin, Anna de Mier

Publication date: 2 September 2008

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

Full work available at URL: https://arxiv.org/abs/math/0505689

zbMATH Keywords

matroidTutte polynomialfree productcyclic flatDilworth's embedding theoremnested matroid

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (18)

Matroids from hypersimplex splits ⋮ The intersection ring of matroids ⋮ Cyclic flats of a polymatroid ⋮ Matroids with different configurations and the same \(\mathcal{G} \)-invariant ⋮ The Merino-Welsh conjecture for split matroids ⋮ Generalized laminar matroids ⋮ An infinite family of excluded minors for strong base-orderability ⋮ Connectivity gaps among matroids with the same enumerative invariants ⋮ The Natural Matroid of an Integer Polymatroid ⋮ Hepp's bound for Feynman graphs and matroids ⋮ A note on the sticky matroid conjecture ⋮ Multi-splits and tropical linear spaces from nested matroids ⋮ The \(\mathcal{G}\)-invariant and catenary data of a matroid ⋮ Lattices related to extensions of presentations of transversal matroids ⋮ Cyclic flats of binary matroids ⋮ Computing the Tutte polynomial of a matroid from its lattice of cyclic flats ⋮ The free \(m\)-cone of a matroid and its \({\mathcal{G}} \)-invariant ⋮ Hypergraph characterization of split matroids

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