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On the Secure Total Domination Number of Graphs
Open AccessArticle

Gromov Hyperbolicity in Directed Graphs

Math and Computer Science Department, St. Louis University (Madrid Campus), Avenida del Valle 34, 28003 Madrid, Spain
Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911 Leganés, Madrid, Spain
Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48, Puebla 72570, Mexico
Facultad de Matemáticas, Universidad Autónoma de Guerrero, Carlos E. Adame No.54 Col. Garita, Acapulco Gro. 39650, Mexico
Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, Campus de Cantoblanco, 28049 Madrid, Spain
Author to whom correspondence should be addressed.
Symmetry 2020, 12(1), 105;
Received: 22 November 2019 / Revised: 30 December 2019 / Accepted: 1 January 2020 / Published: 6 January 2020
(This article belongs to the Special Issue Protection of 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 solutions for secure data transfer on the internet. View Full-Text
Keywords: security; Gromov hyperbolicity; hyperbolic graph; directed graph security; Gromov hyperbolicity; hyperbolic graph; directed graph
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Portilla, A.; Rodríguez, J.M.; Sigarreta, J.M.; Tourís, E. Gromov Hyperbolicity in Directed Graphs. Symmetry 2020, 12, 105.

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