3 papers
math.CO2024
The Erdős-Pósa property for infinite graphs
Thilo Krill
We investigate which classes of infinite graphs have the Erdős-Pósa property (EPP). In addition to the usual EPP, we also consider the following infinite variant of the EPP: a clas…
math.CO2023
On the ubiquity of oriented double rays
Florian Gut, Thilo Krill, Florian Reich
A digraph is called ubiquitous if every digraph that contains arbitrarily many vertex-disjoint copies of also contains infinitely many vertex-disjoint copies of . We stu…
math.CO2023
Universal graphs with forbidden wheel minors
Thilo Krill
Let be any wheel graph and the class of all countable graphs not containing as a minor. We show that there exists a graph in which contains ever…