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- W2904246893 abstract "This thesis is devoted to the study of a number of properties of graphs. Our first main result clarifies the relationship between hyperbolicity and non-amenability for plane graphs of bounded degree. This generalises a known result for Cayley graphs to bounded degree graphs. The second main result provides a counterexample to a conjecture of Benjamini asking whether a transient, hyperbolic graph must have a transient subtree. In Chapter 4 we endow the set of all graphs with two pseudometrics and we compare metric properties arising from each of them. The two remaining chapters deal with bi-infinite paths in Z² and geodetic Cayley graphs." @default.
- W2904246893 created "2018-12-22" @default.
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- W2904246893 date "2017-12-01" @default.
- W2904246893 modified "2023-09-26" @default.
- W2904246893 title "Interactions between large-scale invariants in infinite graphs" @default.
- W2904246893 hasPublicationYear "2017" @default.
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