Identifying network structure similarity using spectral graph theory

R Gera, L Alonso, B Crawford, J House… - Applied network …, 2018 - Springer
Most real networks are too large or they are not available for real time analysis. Therefore, in
practice, decisions are made based on partial information about the ground truth network. It …

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 …

Normalized Sombor indices as complexity measures of random networks

R Aguilar-Sánchez, JA Méndez-Bermúdez… - Entropy, 2021 - mdpi.com
We perform a detailed computational study of the recently introduced Sombor indices on
random networks. Specifically, we apply Sombor indices on three models of random …

Non-Hermitian diluted banded random matrices: Scaling of eigenfunction and spectral properties

M Hernández-Sánchez, G Tapia-Labra… - Physical Review E, 2024 - APS
Here we introduce the non-Hermitian diluted banded random matrix (nHdBRM) ensemble
as the set of N× N real nonsymmetric matrices whose entries are independent Gaussian …

Singular-value statistics of directed random graphs

JA Méndez-Bermúdez, R Aguilar-Sánchez - Physical Review E, 2024 - APS
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 4 …

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 …

Super-resolution community detection for layer-aggregated multilayer networks

D Taylor, RS Caceres, PJ Mucha - Physical Review X, 2017 - APS
Applied network science often involves preprocessing network data before applying a
network-analysis method, and there is typically a theoretical disconnect between these …

Exploring universality of the ensemble in complex networks via intermediate eigenvalue statistics

A Mishra, KH Cheong - Physical Review E, 2024 - APS
The eigenvalue statistics are an important tool to capture localization to delocalization
transition in physical systems. Recently, a β-Gaussian ensemble is being proposed as a …

Dimensional crossover in the nearest-neighbor statistics of random points in a quasi-low-dimensional system

AS Balankin, MA Martinez-Cruz… - … Physics Letters B, 2023 - World Scientific
In this work, we study the effects of geometric confinement on the point statistics in a quasi-
low-dimensional system. Specifically, we focus on the nearest-neighbor statistics …