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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 | 2012-12-11T10:35:51Z | - |
dc.date.available | 2012-12-11T10:35:51Z | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | Journal of Combinatorial Theory: Series B, 101(3): 141 - 189, May 2011 | en_US |
dc.identifier.issn | 0095-8956 | - |
dc.identifier.uri | http://www.sciencedirect.com/science/article/pii/S0095895611000049 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/7064 | - |
dc.description | This is the post-print version of the Article - Copyright @ 2011 Elsevier | en_US |
dc.description.abstract | Let M be a matroid. When M is 3-connected, Tutte’s Wheels-and-Whirls Theorem proves that M has a 3-connected proper minor N with |E(M) − E(N)| = 1 unless M is a wheel or a whirl. This paper establishes a corresponding result for internally 4-connected binary matroids. In particular, we prove that if M is such a matroid, then M has an internally 4-connected proper minor N with |E(M) − E(N)| at most 3 unless M or its dual is the cycle matroid of a planar or Möbius quartic ladder, or a 16-element variant of such a planar ladder. | en_US |
dc.description.sponsorship | This study was partially supported by the National Security Agency. | en_US |
dc.language | English | - |
dc.language.iso | en | en_US |
dc.publisher | Elsevier | en_US |
dc.subject | Binary matroid | en_US |
dc.subject | Internally 4-connected | en_US |
dc.subject | Chain theorem | en_US |
dc.title | A chain 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.2010.12.004 | - |
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 |
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Fulltext.pdf | 557.97 kB | Adobe PDF | View/Open |
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