A quasi-tree is a geodesic metric space quasi-isometric to a tree.
A geodesic metric space has the bottleneck property if every path joining the endpoints of a geodesic passes within one uniform distance of that geodesic's midpoint. A geodesic metric space is a quasi-tree exactly when it has this property.

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  1. Gromov-hyperbolic metric space
  2. Quasi-isometry
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