Geometric characterizations of Gromov hyperbolicity

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Gromov hyperbolicity in Cartesian product graphs (2010, background): “The study of Gromov hyperbolicity of the quasihyperbolic and the Poincaré metrics is the subject of [1, 5, 14, 15, 16, 17, 24, 25, 27, 28, 29, 30].”
Gromov hyperbolic cubic graphs (2012, background): “The study of Gromov hyperbolicity of the quasihyperbolic and the Poincaré metrics is the subject of [2, 3, 8, 21, 22, 23, 35, 36, 38, 39].”
Gromov Hyperbolicity of Riemann Surfaces (2007, background): “If c1, c2, c3, c4 are positive constants, we say that {η(1) n, η(2) n}n are (c1, c2, c3, c4)-identified if: (1) there exists a bijective isometry fn : (η(1) n, dX |η1 n) −→ (η 2 n, dX |η2 n) for each n, (2) dX(p, p′) ≤ c1 if fn(p) = p′ for some n, (3) dX(η(1) n ∪ η(2) n, η(1) m ∪ η(2) m) ≥ c2 for ev”
A characterization of Gromov hyperbolicity of surfaces with variable negative curvature (2009, background): “Recently, Balogh and Buckley [7] have made significant progress on the hyperbolicity problem of Euclidean domains with respect to the quasihyperbolic metric (see also [12], [42] and the references therein).”