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Gromov Hyperbolicity in Directed Graphs

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 06 Jan 2020 Spain English Publisher:MDPI AGJournal:Symmetry, volume 12, page 105 (eissn: 2073-8994, Copyright policy )
Authors: Ana Portilla; José M. Rodríguez 0001; José María Sigarreta; Eva Tourís;

doi: 10.3390/sym12010105

handle: 10016/35459 , 10486/698452

Gromov Hyperbolicity in Directed Graphs

Abstract

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.

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Spain
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Keywords

hyperbolic graph, Hyperbolic Graph, Matemáticas, Directed graph, Directed Graph, security, directed graph, Hyperbolic graph, Gromov Hyperbolicity, Gromov hyperbolicity, Security

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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