Florian Lehner

collaborators

3 papers

math.GR2026

Edge Inversions in $(P_{k})$ -closed Groups

Kirwin Hampshire, Florian Lehner, Andrew Wood

We construct $(P_{2})$ -closed groups acting on $T_{3}$ in which all edge inversions have infinite order. This provides a negative answer to a question posed by Tornier. We also constru…

math.CO2025

Distinguishing finite and infinite trees of arbitrary cardinality

Wilfried Imrich, RafaÅ Kalinowski, Florian Lehner +2

Let $G$ be a finite or infinite graph and $m (G)$ the minimum number of vertices moved by the non-identity automorphisms of $G$ . We are interested in bounds on the supremum $I^ (G)$ …

math.CO2025

On weak cop numbers of transitive graphs

Florian Lehner

The weak cop number of infinite graphs can be seen as a coarse-geometric analogue to the cop number of finite graphs. We show that every vertex transitive graph with at least one t…

Edge Inversions in (Pk​)-closed Groups

Distinguishing finite and infinite trees of arbitrary cardinality

On weak cop numbers of transitive graphs

Edge Inversions in $(P_{k})$ -closed Groups