Hyperbolicity vs. Amenability for planar graphs
Bruno Federici, Agelos Georgakopoulos
TL;DR
This paper explores the relationship between Gromov-hyperbolicity and amenability in planar graphs, aiming to clarify how these geometric and combinatorial properties interact.
Contribution
It provides new insights into the connection between hyperbolic and amenable properties specifically for planar graphs.
Findings
Hyperbolic planar graphs exhibit specific structural characteristics.
Amenability in planar graphs relates to their boundary growth.
The paper establishes conditions linking hyperbolicity and amenability.
Abstract
The aim of this paper is to clarify the relationship between Gromov-hyperbolicity and amenability for planar maps.
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