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The Structure of $\{U_{2,5}, U_{3,5}\}$-Fragile Matroids

The Structure of $\{U_{2,5}, U_{3,5}\}$-Fragile Matroids

Let $\mathcal{N}$ be a set of matroids. A matroid $M$ is strictly $\mathcal{N}$-fragile if $M$ has a member of $\mathcal{N}$ as minor and, for all $e \in E(M)$, at least one of $M\hspace{-0.5pt}\backslash e$ and $M/e$ has no minor in $\mathcal{N}$. In this paper we give a structural description of …