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math.MG2026
Triangulating surfaces quasi-isometrically
Agelos Georgakopoulos, Federico Vigolo
We prove that if a complete Riemannian surface is quasi-isometric to some bounded degree graph , then admits a triangulation whose 1-skeleton is quasi-isometric to…
math.MG2021★ 1 cited
Triangulations of uniform subquadratic growth are quasi-trees
Itai Benjamini, Agelos Georgakopoulos
It is known that for every there is a planar triangulation in which every ball of radius has size . We prove that for every such triangulation is quasi-…
math.MG2013
Graphs of finite measure
Agelos Georgakopoulos, Sebastian Haeseler, Matthias Keller +2
We consider weighted graphs with an infinite set of vertices. We show that boundedness of all functions of finite energy can be seen as a notion of `relative compactness' for such…