P. Nelson

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20112026

most citedA Density Hales-Jewett Theorem for matroids

1 citations · 1 across the 10 of their papers we have counts for

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math.CO2020

The critical number of $I_{1, t}$ -free triangle-free binary matroids

Peter Nelson, Kazuhiro Nomoto

A simple binary matroid, viewed as a restriction of a finite binary projective geometry $P G (n - 1, 2)$ , is $I_{1, t}$ -free if for any rank- $t$ flat of $P G (n - 1, 2)$ , its intersection wit…

math.CO2020

The smallest $I_{5}$ -free and triangle-free binary matroids

Peter Nelson, Kazuhiro Nomoto

We determine the smallest simple triangle-free binary matroids that have no five-element independent flat. This solves a special case of a conjecture of Nelson and Norin.

math.CO2020

The structure of $I_{4}$ -free and triangle-free binary matroids

Peter Nelson, Kazuhiro Nomoto

A simple binary matroid is called $I_{4}$ -free if none of its rank-4 flats are independent sets. These objects can be equivalently defined as the sets $E$ of points in $P G (n - 1, 2)$ fo…

The critical number of I1,t​-free triangle-free binary matroids

The smallest I5​-free and triangle-free binary matroids

The structure of I4​-free and triangle-free binary matroids

The critical number of $I_{1, t}$ -free triangle-free binary matroids

The smallest $I_{5}$ -free and triangle-free binary matroids

The structure of $I_{4}$ -free and triangle-free binary matroids