Lattice path matroids: the excluded minors

DOI10.1016/j.jctb.2010.05.001zbMath1231.05054arXiv0909.4342OpenAlexW1964291804MaRDI QIDQ602714

Joseph E. Bonin

Publication date: 5 November 2010

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

Full work available at URL: https://arxiv.org/abs/0909.4342

zbMATH Keywords

matroidtransversal matroidexcluded-minorlattice path matroid

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (14)

The excluded minors for lattice path polymatroids ⋮ Tree automata and pigeonhole classes of matroids. I ⋮ The intersection ring of matroids ⋮ Bergman Complexes of Lattice Path Matroids ⋮ On the complex-representable excluded minors for real-representability ⋮ Lattice path bicircular matroids ⋮ The Excluded Minors for Three Classes of 2-Polymatroids Having Special Types of Natural Matroids ⋮ The excluded minors for the intersection of bicircular and lattice path matroids ⋮ On excluded minors for classes of graphical matroids ⋮ A Tutte polynomial inequality for lattice path matroids ⋮ On lattice path matroid polytopes: integer points and Ehrhart polynomial ⋮ Delta-matroids as subsystems of sequences of Higgs lifts ⋮ Facial structures of lattice path matroid polytopes ⋮ Infinitely many excluded minors for frame matroids and for lifted-graphic matroids

Cites Work

• Lattice path matroids: Enumerative aspects and Tutte polynomials
• On the \(h\)-vector of a lattice path matroid
• Lattice path matroids: structural properties
• A solution to the tennis ball problem
• On Fundamental Transversal Matroids
• Multi-Path Matroids
• A Natural Family of Flag Matroids
• Single-element extensions of matroids
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