2 papers
math.CO2016
A Liouville hyperbolic souvlaki
Johannes Carmesin, Bruno Federici, Agelos Georgakopoulos
We construct a transient bounded-degree graph no transient subgraph of which embeds in any surface of finite genus. Moreover, we construct a transient, Liouville, bounded-degree, G…
math.CO2015
Hyperbolicity vs. Amenability for planar graphs
Bruno Federici, Agelos Georgakopoulos
The aim of this paper is to clarify the relationship between Gromov-hyperbolicity and amenability for planar maps.