Amalgams of extremal matroids with no U2, l+2-minor

نویسندگان

  • Joseph E. Bonin
  • Rong Chen
  • Kai-Nan Xiang
چکیده

For an integer l ≥ 2, let U(l) be the class of matroids with no U2,l+2-minor. A matroid in U(l) is extremal if it is simple and has no simple rank-preserving singleelement extension in U(l). 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 U(l): we determine which amalgams are in U(l) and which are extremal in U(l).

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عنوان ژورنال:
  • Discrete Mathematics

دوره 310  شماره 

صفحات  -

تاریخ انتشار 2010