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 14 ago. 2024