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DC Field | Value | Language |
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dc.contributor.author | Aikin, J | - |
dc.contributor.author | Chun, C | - |
dc.contributor.author | Hall, R | - |
dc.contributor.author | Mayhew, D | - |
dc.coverage.spatial | 17 | en |
dc.date.accessioned | 2009-09-25T09:57:56Z | - |
dc.date.available | 2009-09-25T09:57:56Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | Discrete Mathematics. 310(1): 92-108, Jan 2010 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/3653 | - |
dc.identifier.uri | http://www.sciencedirect.com/science/article/pii/S0012365X09003999 | en |
dc.description.abstract | We characterize all internally 4-connected binary matroids M with the property that the ground set of M can be ordered (e0,…,en−1) in such a way that {ei,…,ei+t} is 4-separating for all 0≤i,t≤n−1 (all subscripts are read modulo n). We prove that in this case either n≤7 or, up to duality, M is isomorphic to the polygon matroid of a cubic or quartic planar ladder, the polygon matroid of a cubic or quartic Möbius ladder, a particular single-element extension of a wheel, or a particular single-element extension of the bond matroid of a cubic ladder. | en |
dc.format.extent | 299056 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Elsevier | en |
dc.subject | Cyclically sequential | en |
dc.subject | 4-Connected | en |
dc.subject | Binary matroid | en |
dc.subject | Sequential ordering | en |
dc.title | Internally 4-connected binary matroids with cyclically sequential orderings | en |
dc.type | Research Paper | en |
dc.identifier.doi | http://dx.doi.org/10.1016/j.disc.2009.08.001 | - |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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File | Description | Size | Format | |
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Internally 4-connected binary matroids with cyclically sequential orderings.pdf | 292.05 kB | Adobe PDF | View/Open |
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