Document Type

Article

Publication Date

2-1-2014

Abstract

Let M and N be internally 4-connected binary matroids such that M has a proper N-minor, and |E (N) | ≥ 7. As part of our project to develop a splitter theorem for internally 4-connected binary matroids, we prove the following result: if M {set minus} e has no N-minor whenever e is in a triangle of M, and M / e has no N-minor whenever e is in a triad of M, then M has a minor, M ', such that M ' is internally 4-connected with an N- minor, and 1 ≤ |E (M) | - |E (M ') | ≤ 2. © 2013 Elsevier Ltd.

Publication Source (Journal or Book title)

European Journal of Combinatorics

First Page

550

Last Page

563

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