Matthew E. Kroeker

activity

20172026

most citedOn the Mean Order of Connected Induced Subgraphs of Block Graphs

10 citations · 18 across the 7 of their papers we have counts for

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2 papers · 1 filter

math.CO2026

Unavoidable flats in GF(q)-representable matroids

Jim Geelen, Matthew E. Kroeker, Peter Nelson

We show that, for any finite field $F$ and positive integer $k$ , a simple $F$ -representable matroid $M$ with sufficiently high rank contains a rank- $k$ flat which…

math.CO2026

Ordinary lines, point degrees, and matroid density

Matthew E. Kroeker, Ben Lund

For every set of $n$ points in $C^{d}$ with full affine span, we prove that some point lies on at least $n + 1 - 2 n / (d + 1)$ spanned lines, which is best possible in every dimensi…