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math.CO2019
Fractal classes of matroids
Dillon Mayhew, Mike Newman, Geoff Whittle
A minor-closed class of matroids is (strongly) fractal if the number of n-element matroids in the class is dominated by the number of n-element excluded minors. We conjecture that…
math.CO2019
On Density-Critical Matroids
Rutger Campbell, Kevin Grace, James Oxley +1
For a matroid having rank-one flats, the density is unless , in which case . A matroid is density-critical if all of its proper min…