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http://bura.brunel.ac.uk/handle/2438/7065Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Chun, C | - |
| dc.contributor.author | Mayhew, D | - |
| dc.contributor.author | Oxley, J | - |
| dc.date.accessioned | 2012-12-11T10:42:23Z | - |
| dc.date.available | 2012-12-11T10:42:23Z | - |
| dc.date.issued | 2012 | - |
| dc.identifier.citation | Journal of Combinatorial Theory: Series B, 102(3): 688 - 700, May 2012 | en_US |
| dc.identifier.issn | 0095-8956 | - |
| dc.identifier.uri | http://www.sciencedirect.com/science/article/pii/S0095895611000918 | en |
| dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/7065 | - |
| dc.description | This is the post-print version of the Article - Copyright @ 2012 Elsevier | en_US |
| dc.description.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. | en_US |
| dc.description.sponsorship | This study is partially funded by Marsden Fund of New Zealand and the National Security Agency. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.subject | Binary matroids | en_US |
| dc.subject | Internally 4-connected | en_US |
| dc.subject | Chain theorem | en_US |
| dc.title | Towards a splitter theorem for internally 4-connected binary matroids | en_US |
| dc.type | Article | en_US |
| dc.identifier.doi | http://dx.doi.org/10.1016/j.jctb.2011.08.006 | - |
| pubs.organisational-data | /Brunel | - |
| pubs.organisational-data | /Brunel/Brunel Active Staff | - |
| pubs.organisational-data | /Brunel/Brunel Active Staff/School of Info. Systems, Comp & Maths | - |
| 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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