Results 11 to 20 of about 117 (110)
Worm Domains are not Gromov Hyperbolic. [PDF]
J Geom Anal, 2023 AbstractWe show that Worm domains are not Gromov hyperbolic with respect to the Kobayashi distance.
Arosio L, Dall'Ara GM, Fiacchi M.
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Gromov hyperbolic cubic graphs
Open Mathematics, 2012 Abstract If X is a geodesic metric space and x 1; x 2; x 3 ∈ X, a geodesic triangle T = {x 1; x 2; x 3} is the union of the three geodesics [x 1 x
Pestana Domingo +3 more
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Gromov Hyperbolicity of Riemann Surfaces [PDF]
Acta Mathematica Sinica, English Series, 2006 20 pages, no figures.-- MSC2000 codes: 30F, 30F20, 30F45. MR#: MR2286916 (2007k:30080) Zbl#: Zbl 1115.30050 In this paper we study the hyperbolicity in the Gromov sense of Riemann surfaces. We deduce the hyperbolicity of a surface from the hyperbolicity of its "building block components".
Rodríguez, José M., Tourís, Eva
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Gromov hyperbolicity of planar graphs
Open Mathematics, 2013 AbstractWe prove that under appropriate assumptions adding or removing an infinite amount of edges to a given planar graph preserves its non-hyperbolicity, a result which is shown to be false in general. In particular, we make a conjecture that every tessellation graph of ℝ2 with convex tiles is non-hyperbolic; it is shown that in order to prove this ...
Cantón Alicia +3 more
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Geometric characterizations of Gromov hyperbolicity [PDF]
Inventiones Mathematicae, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Balogh, Zoltán M., Buckley, Stephen M.
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Bounds on Gromov hyperbolicity constant [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2015 If $X$ is a geodesic metric space and $x_{1},x_{2},x_{3} \in X$, a geodesic triangle $T=\{x_{1},x_{2},x_{3}\}$ is the union of the three geodesics $[x_{1}x_{2}]$, $[x_{2}x_{3}]$ and $[x_{3}x_{1}]$ in $X$. The space $X$ is $ $-hyperbolic in the Gromov sense if any side of $T$ is contained in a $ $-neighborhood of the union of the two other sides, for ...
Hernández, Verónica +2 more
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Knot graphs and Gromov hyperbolicity [PDF]
Mathematische Zeitschrift, 2022 We define a broad class of graphs that generalize the Gordian graph of knots. These knot graphs take into account unknotting operations, the concordance relation, and equivalence relations generated by knot invariants. We prove that overwhelmingly, the knot graphs are not Gromov hyperbolic, with the exception of a particular family of quotient knot ...
Stanislav Jabuka +2 more
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Gromov Hyperbolicity in Directed Graphs [PDF]
Symmetry, 2020 In this paper, we generalize the classical definition of Gromov hyperbolicity to the context of directed graphs and we extend one of the main results of the theory: the equivalence of the Gromov hyperbolicity and the geodesic stability. This theorem has potential applications to the development of solutions for secure data transfer on the internet.
Ana Portilla +3 more
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Gromov hyperbolic graphs arising from iterations [PDF]
Advances in Mathematics, 2021 For a contractive iterated function system (IFS), it is known that there is a natural hyperbolic graph structure (augmented tree) on the symbolic space of the IFS that reflects the relationship among neighboring cells, and its hyperbolic boundary with the Gromov metric is H lder equivalent to the attractor $K$.
Kong, Shilei +2 more
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Gromov hyperbolicity of Denjoy Domains [PDF]
Geometriae Dedicata, 2006 In this paper we characterize the Gromov hyperbolicity of the double of a metric space. This result allows to give a characterization of the hyperbolic Denjoy domains, in terms of the distance to $\Bbb{R}$ of the points in some geodesics. In the particular case of trains (a kind of Riemann surfaces which includes the flute surfaces), we obtain more ...
Alvarez, Venancio +3 more
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