13 citations · 95 across the 28 of their papers we have counts for
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math.CO2022
Generalized spikes with circuits and cocircuits of different cardinalities
Nick Brettell, Kevin Grace
We consider matroids with the property that every subset of the ground set of size is contained in a -element circuit and every subset of size is contained in a -el…
math.CO2022★ 7 cited
The excluded minors for 2- and 3-regular matroids
Nick Brettell, James Oxley, Charles Semple +1
The class of 2-regular matroids is a natural generalisation of regular and near-regular matroids. We prove an excluded-minor characterisation for the class of 2-regular matroids. T…
math.CO2022★ 3 cited
Excluded minors are almost fragile II: essential elements
Nick Brettell, James Oxley, Charles Semple +1
Let be an excluded minor for the class of -representable matroids for some partial field , let be a -connected strong -stabilizer tha…