Active orders for matroid bases

DOI10.1006/eujc.2001.0491zbMath0984.52018OpenAlexW2008472326MaRDI QIDQ5944010

Michel Las Vergnas

Publication date: 14 May 2002

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

Full work available at URL: https://doi.org/10.1006/eujc.2001.0491

zbMATH Keywords

Orlik-Solomon algebraordered matroid

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Oriented matroids in discrete geometry (52C40)

Related Items

Internally perfect matroids, On Tutte polynomial expansion formulas in perspectives of matroids and oriented matroids, The topology of the external activity complex of a matroid, Biconed graphs, weighted forests, and \(h\)-vectors of matroid complexes, Catalan recursion on externally ordered bases of unit interval positroids, Convexity in ordered matroids and the generalized external order, Activity from matroids to rooted trees and beyond, Topological properties of activity orders for matroid bases, Interpretations of the Tutte and characteristic polynomials of matroids, The closure of a linear space in a product of lines, Unnamed Item, Finiteness theorems for matroid complexes with prescribed topology, Interpretations for the Tutte polynomials of morphisms of matroids

Cites Work

• A combinatorial ranking problem
• The Tutte polynomial of a morphism of matroids. V: Derivatives as generating functions of Tutte activities
• Optimal assignments in an ordered set: An application of matroid theory
• Matroids and the greedy algorithm
• A note on the Orlik-Solomon algebra
• Orlik-Solomon type algebras
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