14 citations · 30 across the 11 of their papers we have counts for
12 papers
On the distribution of topological and spectral indices on random graphs
C. T. Martínez-Martínez, R. Aguilar-Sánchez, J. A. Méndez-Bermúdez
We perform a detailed statistical study of the distribution of topological and spectral indices on random graphs in a wide range of connectivity regimes. First, we consid…
Dissipative fractional standard maps: Riemann-Liouville and Caputo
J. A. Mendez-Bermudez, R. Aguilar-Sanchez
In this study, given the inherent nature of dissipation in realistic dynamical systems, we explore the effects of dissipation within the context of fractional dynamics. Specificall…
Singular-value statistics of directed random graphs
J. A. Mendez-Bermudez, R. Aguilar-Sanchez
Singular-value statistics (SVS) has been recently presented as a random matrix theory tool able to properly characterize non-Hermitian random matrix ensembles [PRX Quantum {\bf 4},…
Tunable subdiffusion in the Caputo fractional standard map
J. A. Mendez-Bermudez, R. Aguilar-Sanchez
The Caputo fractional standard map (C-fSM) is a two-dimensional nonlinear map with memory given in action-angle variables . It is parameterized by and which…
Scaling properties of the action in the Riemann-Liouville fractional standard map
J. A. Mendez-Bermudez, R. Aguilar-Sanchez, J. M. Sigarreta +1
The Riemann-Liouville fractional standard map (RL-fSM) is a two-dimensional nonlinear map with memory given in action-angle variables . The RL-fSM is parameterized by an…
Multiplicative topological indices: Analytical properties and application to random networks
R. Aguilar-Sanchez, J. A. Mendez-Bermudez, Jose M. Rodriguez +1
We make use of multiplicative degree-based topological indices to perform a detailed analytical and statistical study of random networks . We consider two c…
Revan-degree indices on random graphs
R. Aguilar-Sanchez, I. F. Herrera-Gonzalez, J. A. Mendez-Bermudez +1
Given a simple connected non-directed graph , we consider two families of graph invariants: (which has gained interest rece…
Stolarsky-Puebla index
J. A. Mendez-Bermudez, R. Aguilar-Sanchez, Ricardo Abreu Blaya +1
We introduce a degree-based variable topological index inspired on the Stolarsky mean (known as the generalization of the logarithmic mean). We name this new index as the Stolarsky…
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 properties of the variable symmetric division deg index
R. Aguilar-Sanchez, J. A. Mendez-Bermudez, Jose M. Rodriguez +1
The aim of this work is to obtain new inequalities for the variable symmetric division deg index , and to characterize grap…
Dynamical properties of a dissipative discontinuous map: A scaling investigation
R. Aguilar-Sanchez, Edson D. Leonel, J. A. Mendez-Bermudez
The effects of dissipation on the scaling properties of nonlinear discontinuous maps are investigated by analyzing the behavior of the average squared action a…
Scaling properties of discontinuous maps
J. A. Mendez-Bermudez, R. Aguilar-Sanchez
We study the scaling properties of discontinuous maps by analyzing the average value of the squared action variable . We focus our study on two dynamical regimes separated by…