Title

Towards a splitter theorem for internally 4-connected binary matroids VIII: Small matroids

Document Type

Article

Publication Date

4-1-2017

Abstract

Our splitter theorem studies pairs of the form (M,N), where M and N are internally 4-connected binary matroids, M has a proper N-minor, and if M' is an internally 4-connected matroid such that M has a proper M'-minor and M' has an N-minor, then |E(M)|−|E(M')|>3. The analysis in the splitter theorem requires the constraint |E(M)|≥16. In this article, we complement that analysis by describing all such pairs for which |E(M)|≤15.

Publication Source (Journal or Book title)

Advances in Applied Mathematics

First Page

12

Last Page

30

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