We prove that, for each nonnegative integer k and each matroid N, if M is a 3-connected matroid containing N as a minor, and the the branch width of M is sufficiently large, then there is a k-element subset X of E(M) such that one of M\X and M/X is 3-connected and contains N as a minor.
, , , ,
Cornell University Library
arXiv.org e-Print archive
Matroid Structure for Efficiency
Networks and Optimization

van Zwam, S.& Geelen, J. (2011). Matroid 3-connectivity and branch width. In arXiv.org e-Print archive (1107.3914). Cornell University Library.