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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…
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…