Amalgams of extremal matroids with no U_2,ℓ+2-minor

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• 作者：Joseph E. Bonin ; Rong Chen ; Kai-Nan Xiang
• 关键词：Extremal matroid theory ; Matroid amalgam ; Generalized parallel connection
• 刊名：Discrete Mathematics
• 出版年：2010
• 出版时间：28 September 2010
• 年：2010
• 卷：310
• 期：17-18
• 页码：2317-2322
• 全文大小：301 K

文摘

For an integer ℓ≥2, let be the class of matroids with no U_2,ℓ+2-minor. A matroid in is extremal if it is simple and has no simple rank-preserving single-element extension in . An amalgam of two matroids is a simultaneous extension of both on the union of the two ground sets. We study amalgams of extremal matroids in : we determine which amalgams are in and which are extremal in .