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
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…
math.CO2023
The number of topological types of trees
Thilo Krill, Max Pitz
Two graphs are of the same topological type if they can be mutually embedded into each other topologically. We show that there are exactly distinct topological types of…