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Excluded minors for the matroids of branch-width 3

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dc.contributor.author Hall, Rhiannon
dc.date.accessioned 2011-06-21T01:56:43Z
dc.date.accessioned 2022-10-26T21:16:25Z
dc.date.available 2011-06-21T01:56:43Z
dc.date.available 2022-10-26T21:16:25Z
dc.date.copyright 2001
dc.date.issued 2001
dc.identifier.uri https://ir.wgtn.ac.nz/handle/123456789/24940
dc.description.abstract This thesis considers the problem of finding the excluded minors for the matroids of branch-width 3. It is shown that the excluded minors have at most 14 elements. The excluded minors are divided into three classes, those that are 4-connected, those that are internally 4-connected, and those that contain a 4-element 3-separator. In this thesis, we find all excluded minors containing a 4-element 3-separator. The results of this thesis are obtained using theorems on connectivity. en_NZ
dc.format pdf en_NZ
dc.language en_NZ
dc.language.iso en_NZ
dc.publisher Te Herenga Waka—Victoria University of Wellington en_NZ
dc.title Excluded minors for the matroids of branch-width 3 en_NZ
dc.type Text en_NZ
vuwschema.type.vuw Awarded Research Masters Thesis en_NZ
thesis.degree.grantor Te Herenga Waka—Victoria University of Wellington en_NZ
thesis.degree.level Masters en_NZ


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