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

https://doi.org/10.1016/j.aam.2016.11.009Get rights and content
Under an Elsevier user license
open archive

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.

MSC

05B35

Cited by (0)

1

The second author was supported by Rutherford Discovery Fellowship, administered by the Royal Society of New Zealand.