Rhiannon Hall

most citedOn contracting hyperplane elements from a 3-connected matroid

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math.CO2008★ 1 cited

On contracting hyperplane elements from a 3-connected matroid

Rhiannon Hall

Let $K ~_{3, n}$ , $n \geq 3$ , 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-conn…

math.CO2008

Contracting an element from a cocircuit

Rhiannon Hall, Dillon Mayhew

We consider the situation that M and N are 3-connected matroids such that |E(N)| > 3 and C* is a cocircuit of M with the property that M/y has an N-minor for some y in C*. We show…