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Gromov hyperbolic John is quasihyperbolic John I [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2021 9 ...
Qingshan Zhou, Saminathan Ponnusamy
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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.
Nathann Cohen +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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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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Embeddings of Gromov Hyperbolic Spaces [PDF]
Geometric And Functional Analysis, 2000 To state the main result of the paper we start with two definitions: A metric space \(X\) has ``bounded growth at some scale'' if there are constants \(R>r>0\) and a positive integer \(N\) such that every open ball of radius \(R\) in \(X\) can be covered by \(N\) open balls of radius \(r\). A metric space \(X\) is ``roughly similar'' to a metric space \
Bonk, M., Schramm, O.
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Gromov Hyperbolicity in Mycielskian Graphs [PDF]
Symmetry, 2017 Since the characterization of Gromov hyperbolic graphs seems a too ambitious task, there are many papers studying the hyperbolicity of several classes of graphs. In this paper, it is proven that every Mycielskian graph G M is hyperbolic and that δ ( G M ) is comparable to diam ( G M ) .
Ana Granados +3 more
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Discrete Mathematics, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bermudo, Sergio +3 more
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Central Limit Theorems for Gromov Hyperbolic Groups [PDF]
Journal of Theoretical Probability, 2009 Accepted in Journal of Theoretical ...
Michael Björklund
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Gromov Hyperbolicity, John Spaces, and Quasihyperbolic Geodesics
The Journal of Geometric Analysis, 2022 We show that every quasihyperbolic geodesic in a John space admitting a roughly starlike Gromov hyperbolic quasihyperbolization is a cone arc. This result provides a new approach to the elementary metric geometry question, formulated in \cite[Question 2]{Hei89}, which has been studied by Gehring, Hag, Martio and Heinonen. As an application, we obtain a
Qingshan Zhou, Yaxiang Li, Antti Rasila
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Gromov hyperbolicity in lexicographic product graphs [PDF]
Proceedings - Mathematical Sciences, 2018 arXiv admin note: text overlap with arXiv:1410 ...
Walter Carballosa +2 more
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