Results 111 to 120 of about 353 (136)
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Teichmüller’s problem for Gromov hyperbolic domains

Israel Journal of Mathematics, 2022
22 ...
Zhou, Qingshan, Rasila, Antti
openaire   +2 more sources

Gromov hyperbolicity of Johnson and Kneser graphs

open access: yesAequationes Mathematicae
The concept of Gromov hyperbolicity is a geometric concept that leads to a rich general theory. Johnson and Kneser graphs are interesting combinatorial graphs defined from systems of sets.
Rosalio Reyes   +2 more
exaly   +2 more sources

Gromov hyperbolicity of the Hilbert distance

Annals of Global Analysis and Geometry, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fathi Haggui, Houcine Guermazi
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Scaled Gromov hyperbolic graphs

Journal of Graph Theory, 2007
AbstractIn this article, the δ‐hyperbolic concept, originally developed for infinite graphs, is adapted to very large but finite graphs. Such graphs can indeed exhibit properties typical of negatively curved spaces, yet the traditional δ‐hyperbolic concept, which requires existence of an upper bound on the fatness δ of the geodesic triangles, is unable
Edmond A. Jonckheere   +2 more
openaire   +1 more source

Pseudoconvexity and Gromov hyperbolicity

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1999
The authors give an estimate for the distance functions related to the Bergman, Carathéodory and Kobayashi metrics on a bounded strictly pseudoconvex domain with \(C^{2}\)-smooth boundary. This estimate relates the distance function on the domain with the Carnot-Carathéodory metric on the boundary.
Balogh, Zoltan M., Bonk, Mario
openaire   +2 more sources

Applying clique-decomposition for computing Gromov hyperbolicity

open access: yesTheoretical Computer Science, 2017
International audienceGiven a graph, its hyperbolicity is a measure of how close its distance distribution is to the one of a tree. This parameter has gained recent attention in the analysis of some graph algorithms and the classification of complex ...
David Coudert, Guillaume Ducoffe
exaly   +3 more sources

THE HILBERT METRIC AND GROMOV HYPERBOLICITY

2002
Given a convex domain \(D\) in the Euclidean space, for any pair of points \(x\) and \(y\) in \(D\) let us denote by \(x^\prime\) and \(y^\prime\) the intersections of the line through \(x\) and \(y\) with the boundary of \(D\) closest to \(x\) and \(y\). The logarithm of the crossratio of these four points defines the Hilbert metric on \(D\): \(h(x,y)
Karlsson, Anders, Noskov, Guennadi A.
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Gromov Hyperbolicity in the Cartesian Sum of Graphs

Bulletin of the Iranian Mathematical Society, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carballosa, W.   +2 more
openaire   +2 more sources

Gromov hyperbolicity of regular graphs.

Ars Comb., 2017
Summary: 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 \([x_1x_2]\), \([x_2x_3]\) and \([x_3x_1]\) in \(X\). The space \(X\) is \(\delta\)-hyperbolic (in the Gromov sense) if any side of \(T\) is contained in a \(\delta\)-neighborhood of the union of the two ...
Juan Carlos Hernández-Gómez   +4 more
openaire   +1 more source

Gromov hyperbolicity in the free quasiworld. II

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qingshan Zhou   +2 more
openaire   +2 more sources

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