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- W4308999934 abstract "It is known that for every α≥1 there is a planar triangulation in which every ball of radius r has size Θ(r α ). We prove that for α<2 every such triangulation is quasi-isometric to a tree. The result extends to Riemannian 2-manifolds of finite genus, and to large-scale-simply-connected graphs. We also prove that every planar triangulation of asymptotic dimension 1 is quasi-isometric to a tree." @default.
- W4308999934 created "2022-11-20" @default.
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- W4308999934 date "2022-11-14" @default.
- W4308999934 modified "2023-10-18" @default.
- W4308999934 title "Triangulations of uniform subquadratic growth are quasi-trees" @default.
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- W4308999934 doi "https://doi.org/10.5802/ahl.139" @default.
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