3 papers
math.CO2025
The Erdős-Pósa property for circle graphs as vertex-minors
Rutger Campbell, J. Pascal Gollin, Meike Hatzel +4
We prove that for any circle graph with at least one edge and for any positive integer , there exists an integer so that every graph either has a vertex-minor…
math.CO2025
Girth in -representable matroids
James Davies, Meike Hatzel, Kolja Knauer +2
We prove a conjecture of Geelen, Gerards, and Whittle that for any finite field and any integer , every cosimple -representable matroid with sufficiently large gi…
math.CO2023
On tree decompositions whose trees are minors
Pablo Blanco, Linda Cook, Meike Hatzel +3
In 2019, Dvořák asked whether every connected graph has a tree decomposition so that is a subgraph of and the width of is bounded…