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dc.contributor.authorChun, C-
dc.contributor.authorMayhew, D-
dc.contributor.authorOxley, J-
dc.identifier.citationJournal of Combinatorial Theory: Series B, 102(3): 688 - 700, May 2012en_US
dc.descriptionThis is the post-print version of the Article - Copyright @ 2012 Elsevieren_US
dc.description.abstractWe 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.sponsorshipThis study is partially funded by Marsden Fund of New Zealand and the National Security Agency.en_US
dc.subjectBinary matroidsen_US
dc.subjectInternally 4-connecteden_US
dc.subjectChain theoremen_US
dc.titleTowards a splitter theorem for internally 4-connected binary matroidsen_US
pubs.organisational-data/Brunel/Brunel Active Staff-
pubs.organisational-data/Brunel/Brunel Active Staff/School of Info. Systems, Comp & Maths-
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Dept of Mathematics Research Papers
Mathematical Sciences

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