Computational and analytical studies of the Randić index in Erdös–Rényi models

CT Martínez-Martínez, JA Mendez-Bermudez… - Applied Mathematics …, 2020 - Elsevier
In this work we perform computational and analytical studies of the Randić index R (G) in
Erdös–Rényi models G (n, p) characterized by n vertices connected independently with …

[PDF][PDF] Computational and analytical studies of the harmonic index in Erdös–Rényi models

CT Martınez-Martınez… - … Math. Comput. Chem, 2021 - e-archivo.uc3m.es
A main topic in the study of topological indices is to find bounds of the indices involving
several parameters and/or other indices. In this paper we perform statistical (numerical) and …

Spacing ratio characterization of the spectra of directed random networks

T Peron, BMF de Resende, FA Rodrigues, LF Costa… - Physical Review E, 2020 - APS
Previous literature on random matrix and network science has traditionally employed
measures derived from nearest-neighbor level spacing distributions to characterize the …

Spacing ratio statistics of multiplex directed networks

T Raghav, S Jalan - New Journal of Physics, 2023 - iopscience.iop.org
Eigenvalues statistics of various many-body systems have been widely studied using the
nearest neighbor spacing distribution under the random matrix theory framework. Here, we …

Blind mesh assessment based on graph spectral entropy and spatial features

Y Lin, M Yu, K Chen, G Jiang, F Chen, Z Peng - Entropy, 2020 - mdpi.com
With the wide applications of three-dimensional (3D) meshes in intelligent manufacturing,
digital animation, virtual reality, digital cities and other fields, more and more processing …

Normal mode analysis of spectra of random networks

G Torres-Vargas, R Fossion… - Physica A: Statistical …, 2020 - Elsevier
Several spectral fluctuation measures of random matrix theory (RMT) have been applied in
the study of spectral properties of networks. However, the calculation of those statistics …

[HTML][HTML] Spectral and localization properties of random bipartite graphs

CT Martinez-Martinez, JA Méndez-Bermúdez… - Chaos, Solitons & …, 2019 - Elsevier
Bipartite graphs are often found to represent the connectivity between the components of
many systems such as ecosystems. A bipartite graph is a set of n nodes that is decomposed …

Stability map** of bipartite tight-binding graphs with losses and gain: PTP T-symmetry and beyond

CT Martínez-Martínez, LA Moreno-Rodriguez… - … Journal of Nonlinear …, 2024 - pubs.aip.org
We consider bipartite tight-binding graphs composed by N nodes split into two sets of equal
size: one set containing nodes with on-site loss, the other set having nodes with on-site gain …

Stability map** of bipartite tight-binding graphs with losses and gain: symmetry and beyond

LA Moreno-Rodriguez, CT Martinez-Martinez… - arxiv preprint arxiv …, 2022 - arxiv.org
We consider bipartite tight-binding graphs composed by $ N $ nodes split into two sets of
equal size: one set containing nodes with on-site loss, the other set having nodes with on …

Computational and analytical studies of the Randi\'c index in Erd\" os-R\'{e} nyi models

CT Martinez-Martinez, JA Mendez-Bermudez… - arxiv preprint arxiv …, 2020 - arxiv.org
In this work we perform computational and analytical studies of the Randi\'c index $ R (G) $
in Erd\" os-R\'{e} nyi models $ G (n, p) $ characterized by $ n $ vertices connected …