3 papers
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…
math.CO2007
Matroids with nine elements
Dillon Mayhew, Gordon F. Royle
We describe the computation of a catalogue containing all matroids with up to nine elements, and present some fundamental data arising from this cataogue. Our computation confirms…
math.CO2007
Matroid complexity and non-succinct descriptions
Dillon Mayhew
We investigate an approach to matroid complexity that involves describing a matroid via a list of independent sets, bases, circuits, or some other family of subsets of the ground s…