Study of the gromov hyperbolicity constant on graphs
- Autores: Charo Reyes
- Directores de la Tesis: José María Sigarreta Almira (dir. tes.)
, José Manuel Rodríguez García (codir. tes.) - Lectura: En la Universidad Carlos III de Madrid ( España ) en 2022
- Idioma: inglés
- Tribunal Calificador de la Tesis: Domingo Pestana Galván (presid.) , Ana María Portilla Ferreira (secret.) , Eva Tourís (voc.)
- Enlaces
- Tesis en acceso abierto en: e-Archivo
- Resumen
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.
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