1 citations · 1 across the 4 of their papers we have counts for
4 papers
A Density Hales-Jewett Theorem for matroids
Jim Geelen, Peter Nelson
We show that, if is a real number, and are integers, and is a prime power, then every simple matroid of sufficiently large rank, with no $U_{2…
Projective geometries in exponentially dense matroids. I
Jim Geelen, Peter Nelson
We show for each positive integer that, if $\cM$ is a minor-closed class of matroids not containing all rank- uniform matroids, then there exists an integer such tha…
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}…
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…