Towards a splitter theorem for internally 4-connected binary matroids III
This paper proves a preliminary step towards a splitter theorem for internally 4-connected binary matroids. In particular, we show that, provided M or M* is not a cubic Möbius or planar ladder or a certain coextension thereof, an internally 4-connected binary matroid M with an internally 4-connected proper minor N either has a proper internally 4-connected minor M′ with an N-minor such that |E(M)-E(M′)|≤3 or has, up to duality, a triangle T and an element e of T such that M\e has an N-minor and has the property that one side of every 3-separation is a fan with at most four elements. © 2013 Elsevier Inc.
Publication Source (Journal or Book title)
Advances in Applied Mathematics
Chun, C., Mayhew, D., & Oxley, J. (2013). Towards a splitter theorem for internally 4-connected binary matroids III. Advances in Applied Mathematics, 51 (2), 309-344. https://doi.org/10.1016/j.aam.2013.04.004