Results 11 to 20 of about 435 (132)
Expositiones Mathematicae, 2005 AbstractA mini monograph on Gromov hyperbolic spaces, which need not be geodesic or proper.
Jussi Väısälä
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Gromov hyperbolicity and quasihyperbolic geodesics [PDF]
Annales scientifiques de l'École normale supérieure, 2012 17 ...
Pekka Koskela +2 more
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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 Denjoy domains with hyperbolic and quasihyperbolic metrics
Journal of the Mathematical Society of Japan, 2008 14 pages, 1 latex file, 1 eps ...
Peter Hästö +4 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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The horofunction boundary of a Gromov hyperbolic space
Mathematische Annalen, 2020 We highlight a condition, the approaching geodesics property, on a proper geodesic Gromov hyperbolic metric space, which implies that the horofunction compactification is topologically equivalent to the Gromov compactification. It is known that this equivalence does not hold in general. We prove using rescaling techniques that the approaching geodesics
Leandro Arosio +3 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.
Portilla, Ana +3 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 ...
Venancio Álvarez +3 more
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On Computing the Gromov Hyperbolicity [PDF]
ACM Journal of Experimental Algorithmics, 2015 The Gromov hyperbolicity is an important parameter for analyzing complex networks which expresses how the metric structure of a network looks like a tree. It is for instance used to provide bounds on the expected stretch of greedy-routing algorithms in Internet-like graphs.
Cohen, Nathann +2 more
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Gromov hyperbolicity in the free quasiworld. I
Studia Mathematica, 2022 With the aid of a Gromov hyperbolic characterization of uniform domains, we first give an affirmative answer to an open question arisen by V is l under weaker assumption. Next, we show that the three-point condition introduced by V is l is necessary to obtain quasisymmetry for quasim bius maps between bounded connected spaces in a quantitative
Qingshan Zhou, Saminathan Ponnusamy
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