Results 1 to 10 of about 415 (151)
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
doaj +3 more sources
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.
europepmc +6 more sources
Potential Theory on Gromov Hyperbolic Spaces [PDF]
Analysis and Geometry in Metric Spaces, 2022 Abstract Gromov hyperbolic spaces have become an essential concept in geometry, topology and group theory. Herewe extend Ancona’s potential theory on Gromov hyperbolic manifolds and graphs of bounded geometry to a large class of Schrödinger operators on Gromov hyperbolic metric measure spaces, unifying these settings in a common ...
Matthias Kemper, Joachim Lohkamp
openalex +5 more sources
Subelliptic estimates from Gromov hyperbolicity [PDF]
Advances in Mathematics, 2022 73 pages.
Andrew Zimmer
openalex +3 more sources
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
openalex +4 more sources
Teichmuller Space is Not Gromov Hyperbolic [PDF]
, 1994 We prove that the Teichmuller Space of Riemann Surfaces of genus g>1, equipped with the Teichmuller metric, is not a Gromov Hyperbolic space.
Howard Masur, Michael Wolf
openalex +5 more sources
Gromov hyperbolicity of minor graphs [PDF]
, 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 $[x_1x_2]$, $[x_2x_3]$ and $[x_3x_1]$ 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 every geodesic triangle
Walter Carballosa +3 more
openalex +3 more sources
Gromov hyperbolic John is quasihyperbolic John I [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2021 9 ...
Qingshan Zhou, Saminathan Ponnusamy
openalex +4 more sources
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
doaj +3 more sources
Comparative Gromov hyperbolicity results for the hyperbolic and quasihyperbolic metrics [PDF]
Complex Variables and Elliptic Equations, 2009 9 pages, 1 figure.-- MSC2000 codes: 30F45; 53C23; 30C99.-- Dedicated to Professor Andreian Cazacu on the occasion of her 80th birthday. In this article, we investigate the Gromov hyperbolicity of Denjoy domains equipped with the hyperbolic or the quasihyperbolic metric. The focus are on comparative or decomposition results, which allow us to reduce the
Peter Hästö +3 more
openalex +4 more sources