On exchange properties for Coxeter matroids and oriented matroids

DOI10.1016/S0012-365X(96)00027-1zbMath0889.05034OpenAlexW2026671623MaRDI QIDQ1377708

J. Ning

Publication date: 29 May 1998

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

Full work available at URL: https://doi.org/10.1016/s0012-365x(96)00027-1

zbMATH Keywords

matroidsroot systemsoriented matroidsCoxeter matroidsmatroid polytopesaxiom systems for basesWP-matroids

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items

Oriented Lagrangian matroids, Symplectic matroids, Coxeter matroid polytopes, A geometric characterization of Coxeter matroids, The lattice of flats and its underlying flag matroid polytope, An adjacency criterion for Coxeter matroids

Cites Work

• Symplectic matroids
• \(WP\)-matroids and thin Schubert cells on Tits systems
• Coxeter matroids. With illustrations by Anna Borovik
• Boundaries of Coxeter matroids
• Combinatorial geometries and torus strata on homogeneous compact manifolds
• Optimal assignments in an ordered set: An application of matroid theory
• Theory of Matroids
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