Title

Excluded minors are almost fragile

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

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