32 citations · 177 across the 37 of their papers we have counts for
6 papers · 1 filter
Topological and spectral properties of random digraphs
C. T. Martínez-Martínez, J. A. Méndez-Bermúdez, José M. Sigarreta
We investigate some topological and spectral properties of Erdős-Rényi (ER) random digraphs . In terms of topological properties, our primary focus lies in analyzing the nu…
The differential on Graph Operator R(G)
Ludwin A. Hernández, Jesús Leaños, Omar Rosario +1
Let be a simple graph with vertex set and edge set . Let be a subset of , and let be the set of neighbours of in $V(G) \setminus…
Generalized Bernoulli Differential Equation
Hector Carmenate, Paul Bosch, Juan E. Nápoles +1
In this paper we propose and solve a generalization of the Bernoulli Differential Equation, by means of a generalized fractional derivative. First we prove a generalization of Gron…
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…
Leaking from the phase space of the Riemann-Liouville fractional standard map
J. A. Méndez Bermúdez, Kevin Peralta-Martinez, José M. Sigarreta +1
In this work we characterize the escape of orbits from the phase space of the Riemann-Liouville (RL) fractional standard map (fSM). The RL-fSM, given in action-angle variables, is…
Mathematical results on harmonic polynomials
Walter Carballosa, Juan E. Nápoles, J. M Rodríguez +2
Some years ago, the harmonic polynomial was introduced in order to understand better the harmonic topological index; for instance, it allows to obtain bounds of the harmonic index…