Results 11 to 20 of about 462 (153)
Expositiones Mathematicae, 2005 This is a mini monograph on Gromov hyperbolic spaces, which are not necessarily geodesic or proper. As the author notes, the purpose of the article is to give a fairly detailed treatment of the basic theory of hyperbolic spaces more general than proper and geodesic.
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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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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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.
Portilla, Ana +3 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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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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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 ...
Verónica Hernández +2 more
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