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http://bura.brunel.ac.uk/handle/2438/7065| Title: | Towards a splitter theorem for internally 4-connected binary matroids |
| Authors: | Chun, C Mayhew, D Oxley, J |
| Keywords: | Binary matroids;Internally 4-connected;Chain theorem |
| Issue Date: | 2012 |
| Publisher: | Elsevier |
| Citation: | Journal of Combinatorial Theory: Series B, 102(3): 688 - 700, May 2012 |
| Abstract: | We prove that if M is a 4-connected binary matroid and N is an internally 4-connected proper minor of M with at least 7 elements, then, unless M is a certain 16-element matroid, there is an element e of E(M) such that either M\e or M/e is internally 4-connected having an N-minor. This strengthens a result of Zhou and is a first step towards obtaining a splitter theorem for internally 4-connected binary matroids. |
| Description: | This is the post-print version of the Article - Copyright @ 2012 Elsevier |
| URI: | http://www.sciencedirect.com/science/article/pii/S0095895611000918 http://bura.brunel.ac.uk/handle/2438/7065 |
| DOI: | http://dx.doi.org/10.1016/j.jctb.2011.08.006 |
| ISSN: | 0095-8956 |
| Appears in Collections: | Publications Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Fulltext.pdf | 299.23 kB | Adobe PDF | View/Open |
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