On the intersections of circuits and cocircuits in matroids

DOI10.1007/BF02579220zbMath0557.05025MaRDI QIDQ762168

James G. Oxley

Publication date: 1984

Published in: Combinatorica (Search for Journal in Brave)

zbMATH Keywords

circuitintersectionquadcircuit of a matroidcocircuit of a matroid

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (10)

On fixing elements in matroid minors ⋮ On the circuit-cocircuit intersection conjecture ⋮ On two classes of nearly binary matroids ⋮ Triangle-roundedness in matroids ⋮ A characterization of certain excluded-minor classes of matroids ⋮ On an excluded-minor class of matroids ⋮ Intersections of circuits and cocircuits in binary matroids ⋮ On basis-exchange properties for matroids ⋮ Generalized \(\Delta\text{--}Y\) exchange and \(k\)-regular matroids ⋮ A characterization of the ternary matroids with no \(M(K_ 4)\)-minor

Cites Work

• Decomposition of regular matroids
• On minors of non-binary matroids
• A simple theorem on 3-connectivity
• \(l\)-matrices and a characterization of binary matroids
• The Forbidden Minors of Binary Clutters
• Connectivity in Matroids
• A Combinatorial Model for Series-Parallel Networks

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