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
Recommended Citation
Chun, C., Mayhew, D., & Oxley, J. (2014). Towards a splitter theorem for internally 4-connected binary matroids II. European Journal of Combinatorics, 36, 550-563. https://doi.org/10.1016/j.ejc.2013.09.011