A splitter theorem relative to a fixed basis

DOI10.1007/s00026-013-0208-3zbMath1295.05074OpenAlexW2000304419MaRDI QIDQ404382

Nick Brettell, Charles Semple

Publication date: 4 September 2014

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

Full work available at URL: https://doi.org/10.1007/s00026-013-0208-3

zbMATH Keywords

splitter theoremmatroid representationwheels and whirls theorem

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (10)

A splitter theorem for elastic elements in 3-connected matroids ⋮ A splitter theorem on 3-connected matroids ⋮ The excluded minors for 2- and 3-regular matroids ⋮ Excluded minors are almost fragile. II: Essential elements ⋮ Excluded minors are almost fragile ⋮ \(N\)-detachable pairs in 3-connected matroids. I: Unveiling \(X\) ⋮ \(N\)-detachable pairs in 3-connected matroids. II: Life in \(X\) ⋮ Elastic elements in 3-connected matroids ⋮ \(N\)-detachable pairs in 3-connected matroids. III: The theorem ⋮ Nonseparating Cocircuits in Binary Matroids

Cites Work

• Maintaining 3-connectivity relative to a fixed basis
• Decomposition of regular matroids
• A simple theorem on 3-connectivity
• Stabilizers of classes of representable matroids
• On the structure of 3-connected matroids and graphs
• On preserving matroid 3-connectivity relative to a fixed basis
• Wild triangles in 3-connected matroids
• Connectivity in Matroids
• Unnamed Item

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