On contracting hyperplane elements from a 3-connected matroid

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dc.creatorHall, Rhiannon
dc.date2008-02-25
dc.date.accessioned2026-07-07T09:22:58Z
dc.date.available2026-07-07T09:22:58Z
dc.descriptionLet $\tilde{K}_{3,n}$, $n\geq 3$, be the simple graph obtained from $K_{3,n}$ by adding three edges to a vertex part of size three. We prove that if $H$ is a hyperplane of a 3-connected matroid $M$ and $M \not\cong M^*(\tilde{K}_{3,n})$, then there is an element $x$ in $H$ such that the simple matroid associated with $M/x$ is 3-connected.
dc.description19 pages, 3 figures, submitted to Advances in Applied Mathematics
dc.identifierhttps://arxiv.org/abs/0802.3527
dc.identifierhttp://arxiv.org/abs/0802.3527
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155566
dc.subjectCombinatorics
dc.subject05B35
dc.titleOn contracting hyperplane elements from a 3-connected matroid
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