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

collaborators

Showing 2023Show all

2 papers · 1 filter

math.CO2023

Average plane-size in complex-representable matroids

Rutger Campbell, Jim Geelen, Matthew E. Kroeker

Melchior's inequality implies that the average line-length in a simple, rank- $3$ , real-representable matroid is less than $3$ . A similar result holds for complex-representable matr…

math.CO2023

Unavoidable flats in matroids representable over prime fields

Jim Geelen, Matthew E. Kroeker

We show that, for any prime $p$ and integer $k \geq 2$ , a simple GF( $p$ )-representable matroid with sufficiently high rank has a rank- $k$ flat which is either independent in $M$ , o…