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math.GR2022
Asymmetric colouring of locally compact permutation groups
Florian Lehner
Let for a countable set . Call a colouring of asymmetric, if the identity is the only element of which preserves all colours. The motion (also…
math.CO2022
A note on classes of subgraphs of locally finite graphs
Florian Lehner
We investigate the question how `small' a graph can be, if it contains all members of a given class of locally finite graphs as subgraphs or induced subgraphs. More precisely, we g…
math.CO2022
Universal planar graphs for the topological minor relation
Florian Lehner
Huynh et al. recently showed that a countable graph which contains every countable planar graph as a subgraph must contain arbitrarily large finite complete graphs as topologic…