Results 1 to 10 of about 435 (132)

Gromov hyperbolicity of planar graphs [PDF]

open access: hybridOpen 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   +4 more sources

Worm Domains are not Gromov Hyperbolic. [PDF]

open access: yesJ 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

The hyperbolicity constant of infinite circulant graphs

open access: yesOpen Mathematics, 2017
If X is a geodesic metric space and x1, x2, x3 ∈ X, a geodesic triangle T = {x1, x2, x3} is the union of the three geodesics [x1x2], [x2x3] and [x3x1] in X.
Rodríguez José M., Sigarreta José M.
doaj   +1 more source

Mathematical Properties of the Hyperbolicity of Circulant Networks

open access: yesAdvances in Mathematical Physics, 2015
If X is a geodesic metric space and x1,x2,x3∈X, a geodesic triangle   T={x1,x2,x3} is the union of the three geodesics [x1x2], [x2x3], and [x3x1] in X.
Juan C. Hernández   +2 more
doaj   +1 more source

Hyperbolic Unfoldings of Minimal Hypersurfaces

open access: yesAnalysis and Geometry in Metric Spaces, 2018
We study the intrinsic geometry of area minimizing hypersurfaces from a new point of view by relating this subject to quasiconformal geometry. Namely, for any such hypersurface H we define and construct a so-called S-structure.
Lohkamp Joachim
doaj   +1 more source

Recent results on hyperbolicity on unitary operators on graphs [PDF]

open access: yesDiscrete Mathematics Letters, 2023
Jesús A. Méndez   +3 more
doaj   +1 more source

Null Distance and Convergence of Lorentzian Length Spaces. [PDF]

open access: yesAnn Henri Poincare, 2022
Kunzinger M, Steinbauer R.
europepmc   +1 more source

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