P. Nelson

activity

20112026

most citedAlmost all matroids are non-representable

18 citations · 38 across the 33 of their papers we have counts for

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Showing 2013Show all

2 papers · 1 filter

math.CO2013

The number of lines in a matroid with no $U_{2, n}$ -minor

Jim Geelen, Peter Nelson

We show that, if $q$ is a prime power at most 5, then every rank- $r$ matroid with no $U_{2, q + 2}$ -minor has no more lines than a rank- $r$ projective geometry over GF $(q)$ . We also g…

math.CO2013

Projective geometries in exponentially dense matroids. II

Peter Nelson

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

The number of lines in a matroid with no U2,n​-minor

Projective geometries in exponentially dense matroids. II

The number of lines in a matroid with no $U_{2, n}$ -minor