A splitter theorem on 3-connected matroids
From MaRDI portal
Publication:1686245
DOI10.1016/j.ejc.2017.08.010zbMath1376.05030arXiv1405.6454OpenAlexW2311877454MaRDI QIDQ1686245
Publication date: 21 December 2017
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.6454
Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of matroids and geometric lattices (05B35)
Related Items
Triangle-roundedness in matroids, Contractible edges in 3-connected graphs that preserve a minor, \(N\)-critical matroids
Cites Work
- A splitter theorem relative to a fixed basis
- Strong splitter theorem
- On 3-connected minors of 3-connected matroids and graphs
- Contractible edges in triangle-free graphs
- Contractible edges in 3-connected graphs
- Finding a small 3-connected minor maintaining a fixed minor and a fixed element
- Decomposition of regular matroids
- On contractible and vertically contractible elements in 3-connected matroids and graphs
- Stabilizers of classes of representable matroids
- Matroids and graphs with few non-essential elements
- On the structure of 3-connected matroids and graphs
- Generalized \(\Delta\text{--}Y\) exchange and \(k\)-regular matroids
- Matroid 3-connectivity and branch width
- On matroid connectivity
- Unnamed Item