42 citations · 103 across the 15 of their papers we have counts for
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math.GR2019★ 2 cited
Dirichlet-Poincaré profiles of graphs and groups
David Hume
We define Poincaré profiles of Dirichlet type for graphs of bounded degree, in analogy with the Poincaré profiles (of Neumann type) defined in [HMT19]. The obvious first definition…
math.GR2019★ 5 cited
Poorly connected groups
David Hume, John M. Mackay
We investigate groups whose Cayley graphs have poor\-ly connected subgraphs. We prove that a finitely generated group has bounded separation in the sense of Benjamini--Schramm--Tim…