14 citations · 39 across the 10 of their papers we have counts for
14 papers
Normalized Sombor indices as complexity measures of random graphs
R. Aguilar-Sanchez, J. A. Mendez-Bermudez, Jose M. Rodriguez +1
We perform a detailed computational study of the recently introduced Sombor indices on random graphs. Specifically, we apply Sombor indices on three models of random graphs: Erdös-…
Analytical and computational study of the variable inverse sum deg index
Walter Carballosa, J. A. Mendez-Bermudez, Jose M. Rodriguez +1
A large number of graph invariants of the form are studied in mathematical chemistry, where denotes the edge of the graph connecting the ve…
A note on isoperimetric inequalities of Gromov hyperbolic manifolds and graphs
Alvaro Martinez-Perez, Jose M. Rodriguez
In this paper we study the relationship of hyperbolicity and (Cheeger) isoperimetric inequality in the context of Riemannian manifolds and graphs. We characterize the hyperbolic ma…
Computational and analytical studies of the Randić index in Erdös-Rényi models
C. T. Martinez-Martinez, J. A. Mendez-Bermudez, Jose M. Rodriguez +1
In this work we perform computational and analytical studies of the Randić index in Erdös-Rényi models characterized by vertices connected independently with pr…
A new approximation to the geometric-arithmetic index
Alvaro Martínez-Pérez, José M. Rodríjuez, José M. Sigarreta
The concept of geometric-arithmetic index was introduced in the chemical graph theory recently, but it has shown to be useful. The aim of this paper is to obtain new inequalities i…
Hyperbolicity of direct products of graphs
Walter Carballosa, Amauris de la Cruz, Alvaro Martínez-Pérez +1
If is a geodesic metric space and , a {\it geodesic triangle} is the union of the three geodesics , and in…