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Bibliographic Details
Main Authors: Georgakopoulos, Agelos, Vigolo, Federico
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2603.21189
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Table of Contents:
  • We prove that if a complete Riemannian surface $(Σ,d_Σ)$ is quasi-isometric to some bounded degree graph $G$, then $Σ$ admits a triangulation whose 1-skeleton is quasi-isometric to it when equipped with the simplicial metric. We study several variants of the problem, and identify the right condition making it an if and only if statement.