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arxiv: 1502.06896 · v2 · pith:PYGAY3IYnew · submitted 2015-02-24 · 🧮 math.CO

On excluded minors of connectivity 2 for the class of frame matroids

classification 🧮 math.CO
keywords excludedframematroidsclassconnectivitymathcalminorsconnected
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We investigate the set of excluded minors of connectivity 2 for the class of frame matroids. We exhibit a list $\mathcal{E}$ of 18 such matroids, and show that if $N$ is such an excluded minor, then either $N \in \mathcal{E}$ or $N$ is a 2-sum of $U_{2,4}$ and a 3-connected non-binary frame matroid.

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