Fan-Extensions in Fragile Matroids

[摘要] If $\mathcal{S}$ is a set of matroids, then the matroid $M$ is $\mathcal{S}$-fragile if, for every element $e\in E(M)$, either $M\backslash e$ or $M/e$ has no minor isomorphic to a member of $\mathcal{S}$. Excluded-minor characterizations often depend, im

[学科分类] 离散数学和组合数学

[关键词] Matroid theory;excluded minors;partial field;fragile matroid