Peter Nelson

most citedThe number of rank-

k

flats in a matroid with no

U_{2, n}

-minor

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.CO2017

Matroids with no $U_{2, n}$ -minor and many hyperplanes

Adam Brown, Peter Nelson

We construct, for every $r \geq 3$ and every prime power $q > 10$ , a rank- $r$ matroid with no $U_{2, q + 2}$ -minor, having more hyperplanes than the rank- $r$ projective geometry over $…

math.CO2013★ 1 cited

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

Peter Nelson

We show that, if $k$ and $ℓ$ are positive integers and $r$ is sufficiently large, then the number of rank- $k$ flats in a rank- $r$ matroid $M$ with no $U_{2, ℓ + 2}$ -minor is les…

Matroids with no U2,n​-minor and many hyperplanes

The number of rank-k flats in a matroid with no U2,n​-minor

Matroids with no $U_{2, n}$ -minor and many hyperplanes

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