The Catalan matroid

DOI10.1016/S0097-3165(03)00121-3zbMath1031.05030arXivmath/0209354MaRDI QIDQ1417948

Federico Ardila

Publication date: 6 January 2004

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

Full work available at URL: https://arxiv.org/abs/math/0209354

zbMATH Keywords

Dyck pathTutte polynomialMatroidShifted complex

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (19)

An area-depth symmetric \(q, t\)-Catalan polynomial ⋮ Upper bounds of Schubert polynomials ⋮ Standard complexes of matroids and lattice paths ⋮ The intersection ring of matroids ⋮ Stellahedral geometry of matroids ⋮ Rationality for subclasses of 321-avoiding permutations ⋮ Generalized laminar matroids ⋮ Symmetries of statistics on lattice paths between two boundaries ⋮ On the Ehrhart polynomial of Schubert matroids ⋮ Some inequalities for the Tutte polynomial ⋮ Schubert matroids, Delannoy paths, and Speyer's invariant ⋮ Ideal hierarchical secret sharing and lattice path matroids ⋮ Toric ideals of lattice path matroids and polymatroids ⋮ Laminar matroids ⋮ Vertices of Schubitopes ⋮ Lattice path matroids: structural properties ⋮ A free subalgebra of the algebra of matroids ⋮ A unique factorization theorem for matroids ⋮ The Dehn–Sommerville relations and the Catalan matroid

Cites Work

• Lattice path matroids: Enumerative aspects and Tutte polynomials
• Lattice path matroids: structural properties
• The Tutte polynomial
• A bound for the number of matroids
• On the Vector Representation of Matroids
• An explanatory bijection of some remarkable properties of bridges
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