Generating weakly 4-connected matroids

نویسندگان

  • James F. Geelen
  • Xiangqian Zhou
چکیده

We prove that, if M is a weakly 4-connected matroid with |E(M)| 7 and neither M nor M∗ is isomorphic to the cycle matroid of a ladder, then M has a proper minor M ′ such that M ′ is weakly 4-connected and |E(M ′)| |E(M)| − 2 unless M is some 12-element matroid with a special structure. © 2007 Elsevier Inc. All rights reserved.

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عنوان ژورنال:
  • J. Comb. Theory, Ser. B

دوره 98  شماره 

صفحات  -

تاریخ انتشار 2008