In this work, we analyze the hyperbolicity of real-world networks, a geometric quantity that
measures if a space is negatively curved. We provide two improvements in our …

The complementary prism of GG, denoted by GG‾ GG, is the graph obtained from the disjoint
union of GG and G‾ G by adding edges between the corresponding vertices of GG and G‾ G …

If X is a geodesic metric space and x_1, x_2, x_3 ∈ X x 1, x 2, x 3∈ X, a geodesic triangle
T= x 1, x 2, x 3 is the union of the three geodesics x 1 x 2, x 2 x 3 and x 3 x 1 in X. The space …

In this work, we obtain good upper bounds for the diameter of any graph in terms of its
minimum degree and its order, improving a classical theorem due to Erdös, Pach, Pollack …

In this paper we obtain information about the hyperbolicity constant of cubic graphs. They
are a very interesting class of graphs with many applications; furthermore, they are also very …

If X is a geodesic metric space and x_1, x_2, x_3 ∈ X x 1, x 2, x 3∈ X, a geodesic triangle
T={x_1, x_2, x_3\} T= x 1, x 2, x 3 is the union of the three geodesics x_1x_2 x 1 x 2, x_2x_3 …

The study of hyperbolic graphs is an interesting topic since the hyperbolicity of a geodesic
metric space is equivalent to the hyperbolicity of a graph related to it. The main result in this …

If X is a geodesic metric space and x_ 1, x_ 2, x_ 3 ∈ X x 1, x 2, x 3∈ X, a geodesic triangle
T={x_ 1, x_ 2, x_ 3\} T= x 1, x 2, x 3 is the union of the three geodesics x_ 1 x_ 2 x 1 x 2, x_ 2 …

Gromov hyperbolicity grasps the essence of both negatively curved spaces and discrete
spaces. The hyperbolicity of a geodesic metric space is equivalent to the hyperbolicity of a …

It is well-known that the different products of graphs are some of the more symmetric classes
of graphs. Since we are interested in hyperbolicity, it is interesting to study this property in …