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arXiv · 1107.3914

Matroid 3-connectivity and branch width

Jim Geelen·Stefan H. M. van Zwam
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Abstract

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.

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Jim Geelen, Stefan H. M. van Zwam. 2014-12-10. Matroid 3-connectivity and branch width. https://arxiv.org/abs/1107.3914

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