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math.CO2011
The number of points in a matroid with no n-point line as a minor
Jim Geelen, Peter Nelson
For any positive integer we prove that if is a simple matroid with no -point line as a minor and with sufficiently large rank, then $|E(M)|\le \frac{q^{r(M)}-1}{q-1}…
math.CO2011
Growth rate functions of dense classes of representable matroids
Peter Nelson
For each proper minor-closed subclass $\cM$ of the $\GF(q^2)$-representable matroids containing all simple $\GF(q)$-representable matroids, we give, for all large , a tight uppe…