The lattice of convex sets of an oriented matroid

DOI10.1016/0095-8956(82)90043-0zbMath0488.05024OpenAlexW2031773577MaRDI QIDQ1165854

Paul H. Edelman

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0095-8956(82)90043-0

zbMATH Keywords

characteristic polynomialanti-exchange closureacyclic oriented matroidlattice of convex sets

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35) Lattices (06B99)

Related Items

Separation par une droite dans les matroïdes orientés de rang 3. (Separation of oriented matroids of rang 3 by a line), Topes of oriented matroids and related structures, Convexity in ordered matroids and the generalized external order, Excluded-minor characterizations of antimatroids arisen from posets and graph searches., Hyperplane arrangements with a lattice of regions, The max-flow min-cut property of two-dimensional affine convex geometries, Unnamed Item, A use for frequently rediscovering a concept, The subposet lattice and the order polynomial, The acyclic sets of an oriented matroid, Selectors: a theory of formal languages, semimodular lattices, and branching and shelling processes

Cites Work

• Meet-distributive lattices and the anti-exchange closure
• Convexity in oriented matroids
• Partition numbers for trees and ordered sets
• Orientability of matroids
• The subposet lattice and the order polynomial
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]