Hyperbolic relatively hyperbolic graphs and disk graphs
Copyright policy )Hyperbolic relatively hyperbolic graphs and disk graphs
We show that a relatively hyperbolic graph with uniformly hyperbolic peripheral subgraphs is hyperbolic. As an application, we show that the disk graph and the electrified disk graph of a handlebody H of genus g \geq 2 are hyperbolic, and we determine their Gromov boundaries.
- University of Bonn Germany
Topological methods in group theory, hyperbolicity, Distance in graphs, Graph representations (geometric and intersection representations, etc.), relatively hyperbolic graph, 05C12, 20F65, 57M07, Geometric Topology (math.GT), handlebody, disk graph, Mathematics - Geometric Topology, FOS: Mathematics, Geometric group theory
Topological methods in group theory, hyperbolicity, Distance in graphs, Graph representations (geometric and intersection representations, etc.), relatively hyperbolic graph, 05C12, 20F65, 57M07, Geometric Topology (math.GT), handlebody, disk graph, Mathematics - Geometric Topology, FOS: Mathematics, Geometric group theory
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