1 citations · 1 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
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…
Ubiquity of oriented rays
Florian Gut, Thilo Krill, Florian Reich
Call a digraph \emph{ubiquitous} if every digraph that contains vertex-disjoint copies of for every also contains infinitely many vertex-disjoint…
End spaces and tree-decompositions
Marcel Koloschin, Thilo Krill, Max Pitz
We present a systematic investigation into how tree-decompositions of finite adhesion capture topological properties of the space formed by a graph together with its ends. As main…
Universal graphs for the topological minor relation
Thilo Krill
A subgraph-universal graph/a topological minor-universal graph in a class of graphs is a graph in which contains every graph in as a subgr…