Document Type

Article

Publication Date

5-1-2012

Abstract

We prove that if M is a 4-connected binary matroid and N is an internally 4-connected proper minor of M with at least 7 elements, then, unless M is a certain 16-element matroid, there is an element e of E(M) such that either M\e or M/e is internally 4-connected having an N-minor. This strengthens a result of Zhou and is a first step towards obtaining a splitter theorem for internally 4-connected binary matroids. © 2011 Elsevier Inc.

Publication Source (Journal or Book title)

Journal of Combinatorial Theory. Series B

First Page

688

Last Page

700

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