Browsing Department of Pure Mathematics and Mathematical Statistics (DPMMS) by Subject "infinite graph"

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  • A Liouville hyperbolic souvlaki 

    Carmesin, Johannes; Federici, B; Georgakopoulos, A (Institute of Mathematical StatisticsElectronic Journal of Probability, 2017-04-25)
    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, Gromov–hyperbolic graph with trivial ...