Study of the Gromov hyperbolicity constant on graphs

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dc.contributor.advisor Rodríguez García, José Manuel
dc.contributor.advisor Sigarreta Almira, José María Reyes Guillermo, Rosalío 2022-05-26T09:21:29Z 2022-05-26T09:21:29Z 2022-02 2022-04-07
dc.description.abstract The concept of Gromov hyperbolicity grasps the essence of negatively curved spaces like the classical hyperbolic space and Riemannian manifolds of negative sectional curvature. It is remarkable that a simple concept leads to such a rich general theory. The study of hyperbolic graphs is an interesting topic since the hyperbolicity of any geodesic metric space is equivalent to the hyperbolicity of a graph related to it. In this Ph. D. Thesis we characterize the hyperbolicity constant of interval graphs and circular-arc graphs. Likewise, we provide relationships between dominant sets and the hyperbolicity constant. Finally, we study the invariance of the hyperbolicity constant when the graphs are transformed by several operators.
dc.language.iso eng
dc.rights Atribución-NoComercial-SinDerivadas 3.0 España
dc.subject.other Gromov hyperbolicity
dc.subject.other Graphs
dc.title Study of the Gromov hyperbolicity constant on graphs
dc.type doctoralThesis
dc.subject.eciencia Matemáticas
dc.rights.accessRights openAccess Programa de Doctorado en Ingeniería Matemática por la Universidad Carlos III de Madrid
dc.description.responsability Presidente: Domingo de Guzmán Pestana Galván.- Secretaria: Ana Portilla Ferreira.- Vocal: Eva Tourís Lojo
dc.contributor.departamento Universidad Carlos III de Madrid. Departamento de Matemáticas
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