Gromov hyperbolicity in directed graphs

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 s...

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Detalles Bibliográficos
Autores: Portilla, Ana, Rodríguez, José M, Sigarreta, José M, Touris Lojo, Eva
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/698452
Acceso en línea:http://hdl.handle.net/10486/698452
https://dx.doi.org/10.3390/SYM12010105
Access Level:acceso abierto
Palabra clave:Security
Gromov hyperbolicity
Hyperbolic graph
Directed graph
Matemáticas
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spelling Gromov hyperbolicity in directed graphsPortilla, AnaRodríguez, José MSigarreta, José MTouris Lojo, EvaSecurityGromov hyperbolicityHyperbolic graphDirected graphMatemáticasIn 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 internetSupported in part by two grants from Ministerio de Economía y Competititvidad, Agencia Estatal de Investigación (AEI) and Fondo Europeo de Desarrollo Regional (FEDER) (MTM2016-78227-C2-1-P and MTM2017-90584-REDT), SpainMDPIDepartamento de MatemáticasFacultad de Ciencias20202020-01-06research articlehttp://purl.org/coar/resource_type/c_2df8fbb1VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10486/698452https://dx.doi.org/10.3390/SYM12010105reponame:Biblos-e Archivo. Repositorio Institucional de la UAMinstname:Universidad Autónoma de MadridInglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:repositorio.uam.es:10486/6984522026-06-23T12:46:27Z
dc.title.none.fl_str_mv Gromov hyperbolicity in directed graphs
title Gromov hyperbolicity in directed graphs
spellingShingle Gromov hyperbolicity in directed graphs
Portilla, Ana
Security
Gromov hyperbolicity
Hyperbolic graph
Directed graph
Matemáticas
title_short Gromov hyperbolicity in directed graphs
title_full Gromov hyperbolicity in directed graphs
title_fullStr Gromov hyperbolicity in directed graphs
title_full_unstemmed Gromov hyperbolicity in directed graphs
title_sort Gromov hyperbolicity in directed graphs
dc.creator.none.fl_str_mv Portilla, Ana
Rodríguez, José M
Sigarreta, José M
Touris Lojo, Eva
author Portilla, Ana
author_facet Portilla, Ana
Rodríguez, José M
Sigarreta, José M
Touris Lojo, Eva
author_role author
author2 Rodríguez, José M
Sigarreta, José M
Touris Lojo, Eva
author2_role author
author
author
dc.contributor.none.fl_str_mv Departamento de Matemáticas
Facultad de Ciencias
dc.subject.none.fl_str_mv Security
Gromov hyperbolicity
Hyperbolic graph
Directed graph
Matemáticas
topic Security
Gromov hyperbolicity
Hyperbolic graph
Directed graph
Matemáticas
description 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
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-01-06
dc.type.none.fl_str_mv research article
http://purl.org/coar/resource_type/c_2df8fbb1
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10486/698452
https://dx.doi.org/10.3390/SYM12010105
url http://hdl.handle.net/10486/698452
https://dx.doi.org/10.3390/SYM12010105
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:Biblos-e Archivo. Repositorio Institucional de la UAM
instname:Universidad Autónoma de Madrid
instname_str Universidad Autónoma de Madrid
reponame_str Biblos-e Archivo. Repositorio Institucional de la UAM
collection Biblos-e Archivo. Repositorio Institucional de la UAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300719

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