RT Dissertation/Thesis T1 Study of the Gromov hyperbolicity constant on graphs A1 Reyes Guillermo, RosalĂ­o AB 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. YR 2022 FD 2022-02 LK https://hdl.handle.net/10016/34909 UL https://hdl.handle.net/10016/34909 LA eng DS e-Archivo RD 27 jul. 2024