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J. M. Rodriguez and E. Touris, Gromov hyperbolicity of Riemann surfaces, Acta Math. Sin. (Engl. Ser.) 23 (2007), no. 2, 209-228.
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P. M. Soardi, Rough isometries and Dirichlet finite harmonic functions on graphs, Proc. Amer. Math. Soc. 119 (1993), no. 4, 1239-1248.
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E. Touris, Graphs and Gromov hyperbolicity of non-constant negatively curved surfaces, To appear in J. Math. Anal. Appl..
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F. Paulin, On the critical exponent of a discrete group of hyperbolic isometries, Differential Geom. Appl. 7 (1997), no. 3, 231-236.
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A. Portilla, J. M. Rodriguez, and E. Touris, Gromov hyperbolicity through decomposition of metrics spaces. II, J. Geom. Anal. 14 (2004), no. 1, 123-149.
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A. Portilla, J. M. Rodriguez, and E. Touris, The topology of balls and Gromov hyperbolicity of Riemann surfaces, Differential Geom. Appl. 21 (2004), no. 3, 317-335.
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A. Portilla, J. M. Rodriguez, and E. Touris, The role of funnels and punctures in the Gromov hyperbolicity of Riemann surfaces, Proc. Edinb. Math. Soc. (2) 49 (2006), no. 2, 399-425.
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A. Portilla, J. M. Rodriguez, and E. Touris, Stability of Gromov hyperbolicity, J. Adv. Math. Stud. 2 (2009), no. 2, 77-96.
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A. Portilla, J. M. Rodriguez, and E. Touris, A real variable characterization of Gromov hyperbolicity of flute surfaces, To appear in Osaka J. Math.
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A. Portilla and E. Touris, A characterization of Gromov hyperbolicity of surfaces with variable negative curvature, Publ. Mat. 53 (2009), no. 1, 83-110.
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J. M. Rodriguez and J. M. Sigarreta, Location of geodesics and isoperimetric inequalities in Denjoy domains, Submitted.
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J. M. Rodriguez and E. Touris, Gromov hyperbolicity through decomposition of metric spaces, Acta Math. Hungar. 103 (2004), no. 1-2, 107-138.
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J. M. Rodriguez and E. Touris, A new characterization of Gromov hyperbolicity for negatively curved surfaces, Publ. Mat. 50 (2006), no. 2, 249-278.
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P. A. Hasto, H. Linden, A. Portilla, J. M. Rodriguez, E. Touris, Gromov hyperbolicity of Denjoy domains with hyperbolic and quasihyperbolic metrics, To appear in J. Math. Soc. Japan.
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P. A. Hasto, A. Portilla, J. M. Rodriguez, and E. Touris, Gromov hyperbolic equivalence of the hyperbolic and quasihyperbolic metrics in Denjoy domains, Bull. Lond. Math. Soc. 42 (2010), 282-294.
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P. A. Hasto, A. Portilla, J. M. Rodriguez, and E. Touris, Comparative Gromov hyperbolicity results for the hyperbolic and quasihyperbolic metrics, Complex Var. Elliptic Equ. 55 (2010), no. 1-3, 127-135.
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P. A. Hasto, A. Portilla, J. M. Rodriguez, and E. Touris, Uniformly separated sets and Gromov hyperbolicity of domains with the quasihyperbolicity metric, To appear in Medit. J. Math.
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P. A. Hasto, A. Portilla, J. M. Rodriguez, and E. Touris, Gromov hyperbolicity of Denjoy domains through fundamental domains, Submitted.
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A. Canton, J. L. Fernandez, D. Pestana, J. M. Rodriguez, On harmonic functions on trees, Potential Anal. 15 (2001), no. 3, 199-244.
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M. Gromov, Metric Structures for Riemannian and Non-Riemannian Spaces, With appendices by M. Katz, P. Pansu and S. Semmes. Translated from the French by Sean Michael Bates. Progress in Mathematics, 152. Birkhauser Boston, Inc., Boston, MA, 1999.
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V. Alvarez, D. Pestana, and J. M. Rodriguez, Isoperimetric inequalities in Riemann surfaces of infinite type, Rev. Mat. Iberoamericana 15 (1999), no. 2, 353-427.
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V. Alvarez, A. Portilla, J. M. Rodriguez, and E. Touris, Gromov hyperbolicity of Denjoy domains, Geom. Dedicata 121 (2006), 221-245.
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