J. Geelen

activity

20112022

most citedA generalization of the Grid Theorem

14 citations · 31 across the 21 of their papers we have counts for

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Showing 2012Show all

3 papers · 1 filter

math.CO2012★ 1 cited

A Density Hales-Jewett Theorem for matroids

Jim Geelen, Peter Nelson

We show that, if $α > 0$ is a real number, $n \geq 2$ and $ℓ \geq 2$ are integers, and $q$ is a prime power, then every simple matroid $M$ of sufficiently large rank, with no $U_{2…

math.CO2012

Projective geometries in exponentially dense matroids. I

Jim Geelen, Peter Nelson

We show for each positive integer $a$ that, if $\cM$ is a minor-closed class of matroids not containing all rank- $(a + 1)$ uniform matroids, then there exists an integer $n$ such tha…

math.CO2012

An analogue of the Erdős-Stone theorem for finite geometries

Jim Geelen, Peter Nelson

For a set $G$ of points in $\PG(m-1,q)$, let $\ex_q(G;n)$, denote the maximum size of a collection of points in $\PG(n-1,q)$ not containing a copy of $G$ , up to projective equivale…