Document Type
Article
Publication Date
1-1-2020
Abstract
Let M be an excluded minor for the class of P-representable matroids for some partial field P, and let N be a 3-connected strong P-stabilizer that is non-binary. We prove that either M is bounded relative to N, or, up to replacing M by a Δ-Y-equivalent excluded minor, we can choose a pair of elements {a,b} such that either M\{a,b} is N-fragile, or M⁎\{a,b} is N⁎-fragile.
Publication Source (Journal or Book title)
Journal of Combinatorial Theory. Series B
First Page
263
Last Page
322
Recommended Citation
Brettell, N., Clark, B., Oxley, J., Semple, C., & Whittle, G. (2020). Excluded minors are almost fragile. Journal of Combinatorial Theory. Series B, 140, 263-322. https://doi.org/10.1016/j.jctb.2019.05.008