42 citations · 103 across the 15 of their papers we have counts for
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math.GT2021
Thick embeddings of graphs into symmetric spaces via coarse geometry
Benjamin Barrett, David Hume, Larry Guth +1
We prove estimates for the optimal volume of thick embeddings of finite graphs into symmetric spaces, generalising results of Kolmogorov-Barzdin and Gromov-Guth for embeddings into…
math.GT2011★ 1 cited
Embedding universal covers of graph manifolds in products of trees
David Hume, Alessandro Sisto
We prove that the universal cover of any graph manifold quasi-isometrically embeds into a product of three trees. In particular we show that the Assouad-Nagata dimension of the uni…