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 …

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 …

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 …

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 …

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 …

Directed random geometric graphs: structural and spectral properties

K Peralta-Martinez… - Journal of Physics …, 2022 - iopscience.iop.org
In this work we analyze structural and spectral properties of a model of directed random
geometric graphs: given n vertices uniformly and independently distributed on the unit …

Topological versus spectral properties of random geometric graphs

R Aguilar-Sanchez, JA Mendez-Bermudez… - Physical Review E, 2020 - APS
In this work we perform a detailed statistical analysis of topological and spectral properties of
random geometric graphs (RGGs), a graph model used to study the structure and dynamics …

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 …

Weighted random-geometric and random-rectangular graphs: Spectral and eigenfunction properties of the adjacency matrix

L Alonso, JA Méndez-Bermúdez… - Journal of Complex …, 2018 - academic.oup.com
Within a random-matrix theory approach, we use the nearest-neighbour energy-level
spacing distribution and the entropic eigenfunction localization length to study spectral and …

Multilayer directed random networks: Scaling of spectral properties

G Tapia-Labra, M Hernández-Sánchez… - arxiv preprint arxiv …, 2024 - arxiv.org
Motivated by the wide presence of multilayer networks in both natural and human-made
systems, within a random matrix theory (RMT) approach, in this study we compute …