Title

Towards a splitter theorem for internally 4-connected binary matroids IX: The theorem

Document Type

Article

Publication Date

11-1-2016

Abstract

Let M be a binary matroid that is internally 4-connected, that is, M is 3-connected, and one side of every 3-separation is a triangle or a triad. Let N be an internally 4-connected proper minor of M. In this paper, we show that M has a proper internally 4-connected minor with an N-minor that can be obtained from M either by removing at most three elements, or by removing some set of elements in an easily described way from one of a small collection of special substructures of M.

Publication Source (Journal or Book title)

Journal of Combinatorial Theory. Series B

First Page

2

Last Page

67

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