Facial structures of lattice path matroid polytopes

DOI10.1016/j.disc.2019.111628zbMath1430.52016arXiv1701.00362OpenAlexW2969367319WikidataQ127353146 ScholiaQ127353146MaRDI QIDQ2279274

Sang-Wook Kim, Suhyung An, Jiyoon Jung

Publication date: 12 December 2019

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.00362

zbMATH Keywords

matroid base polytopelattice path matroidface posetblock tiling

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) 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)

Related Items (1)

Delta-matroids as subsystems of sequences of Higgs lifts

Cites Work

• Unnamed Item
• Generalized permutohedra, \(h\)-vectors of cotransversal matroids and pure \(O\)-sequences
• Computing the Tutte polynomial of lattice path matroids using determinantal circuits
• Lattice path matroids: the excluded minors
• Toric ideals of lattice path matroids and polymatroids
• A Tutte polynomial inequality for lattice path matroids
• Matroid polytopes, nested sets and Bergman fans
• Faces of generalized permutohedra
• Combinatorial geometries, convex polyhedra, and Schubert cells
• Coxeter matroids. With illustrations by Anna Borovik
• Lattice path matroids: Enumerative aspects and Tutte polynomials
• Combinatorial optimization. Polyhedra and efficiency (3 volumes)
• On lattice path matroid polytopes: integer points and Ehrhart polynomial
• On the \(h\)-vector of a lattice path matroid
• Lattice path matroids: structural properties
• Bergman Complexes of Lattice Path Matroids
• Positroids and non-crossing partitions
• Permutohedra, Associahedra, and Beyond
• Multi-Path Matroids
• Transversals and matroid partition

This page was built for publication: Facial structures of lattice path matroid polytopes