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DC Field | Value | Language |
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dc.contributor.author | Chun, C | - |
dc.contributor.author | Mayhew, D | - |
dc.contributor.author | Oxley, J | - |
dc.date.accessioned | 2012-12-11T10:48:33Z | - |
dc.date.available | 2012-12-11T10:48:33Z | - |
dc.date.issued | 2013 | - |
dc.identifier.citation | Advances in Applied Mathematics, 50(1): 16 - 45, Jan 2013 | en_US |
dc.identifier.issn | 0196-8858 | - |
dc.identifier.uri | http://www.sciencedirect.com/science/article/pii/S0196885812000930 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/7066 | - |
dc.description | This is the post-print version of the Article - Copyright @ 2013 Elsevier | en_US |
dc.description.abstract | In an earlier paper, we proved that an internally 4-connected binary matroid with at least seven elements contains an internally 4-connected proper minor that is at most six elements smaller. We refine this result, by giving detailed descriptions of the operations required to produce the internally 4-connected minor. Each of these operations is top-down, in that it produces a smaller minor from the original. We also describe each as a bottom-up operation, constructing a larger matroid from the original, and we give necessary and su fficient conditions for each of these bottom-up moves to produce an internally 4-connected binary matroid. From this, we derive a constructive method for generating all internally 4-connected binary matroids. | en_US |
dc.description.sponsorship | This study is supported by NSF IRFP Grant 0967050, the Marsden Fund, and the National Security Agency. | en_US |
dc.language | English | - |
dc.language.iso | en | en_US |
dc.publisher | Elsevier | en_US |
dc.subject | Chain theorem | en_US |
dc.subject | Inductive construction | en_US |
dc.subject | Internally 4-connected | en_US |
dc.subject | Binary matroid | en_US |
dc.title | Constructing internally 4-connected binary matroids | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/j.aam.2012.03.005 | - |
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 | |
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constructions_31.pdf | 269.1 kB | Adobe PDF | View/Open |
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