Hyperbolic relatively hyperbolic graphs and disc graphs
classification
🧮 math.GT
keywords
hyperbolicdiscgraphgraphsrelativelyapplicationboundariesdetermine
read the original abstract
We show that a relatively hyperbolic graph with uniformly hyperbolic peripheral subgraphs is hyperbolic. As an application, we show that the disc graph and the electrified disc graph of a handlebody H of genus g>1 are hyperbolic, and we determine their Gromov boundaries.
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