Optimized evolution of networks for principal eigenvector localization
Network science is increasingly being developed to get new insights about behavior and
properties of complex systems represented in terms of nodes and interactions. One useful …
properties of complex systems represented in terms of nodes and interactions. One useful …
Localization of multilayer networks by optimized single-layer rewiring
We study localization properties of principal eigenvectors (PEVs) of multilayer networks
(MNs). Starting with a multilayer network corresponding to a delocalized PEV, we rewire the …
(MNs). Starting with a multilayer network corresponding to a delocalized PEV, we rewire the …
Correlation between weighted spectral distribution and average path length in evolving networks
The weighted spectral distribution (WSD) is a metric defined on the normalized Laplacian
spectrum. In this study, synchronic random graphs are first used to rigorously analyze the …
spectrum. In this study, synchronic random graphs are first used to rigorously analyze the …
Importance of randomness in biological networks: A random matrix analysis
S Jalan - Pramana, 2015 - Springer
Random matrix theory, initially proposed to understand the complex interactions in nuclear
spectra, has demonstrated its success in diverse domains of science ranging from quantum …
spectra, has demonstrated its success in diverse domains of science ranging from quantum …
Interplay of inhibition and multiplexing: Largest eigenvalue statistics
The largest eigenvalue of a network provides understanding to various dynamical as well as
stability properties of the underlying system. We investigate the interplay of inhibition and …
stability properties of the underlying system. We investigate the interplay of inhibition and …
The 3-cycle weighted spectral distribution in evolving community-based networks
B Jiao, X Wu - Chaos: An Interdisciplinary Journal of Nonlinear …, 2017 - pubs.aip.org
One of the main organizing principles in real-world networks is that of network communities,
where sets of nodes organize into densely linked clusters. Many of these community-based …
where sets of nodes organize into densely linked clusters. Many of these community-based …
Étude spectrale des réseaux de neurones aléatoires
J Hermans - 2024 - corpus.ulaval.ca
Résumé e but de la science des réseaux est de modéliser les systèmes complexes et
d'expliquer leurs propriétés émergentes, telles que la propagation d'épidémies ou la …
d'expliquer leurs propriétés émergentes, telles que la propagation d'épidémies ou la …
Emergence of (bi) multi-partiteness in networks having inhibitory and excitatory couplings
S Jalan, SK Dwivedi - Europhysics Letters, 2015 - iopscience.iop.org
Abstract (Bi) multi-partite interaction patterns are observed frequently in real-world systems
which have inhibitory and excitatory couplings. We hypothesize these structural interaction …
which have inhibitory and excitatory couplings. We hypothesize these structural interaction …
Extreme matrices or how an exponential map links classical and free extreme laws
J Grela, MA Nowak - Physical Review E, 2020 - APS
Using our proposed approach to describe extreme matrices, we find an explicit
exponentiation formula linking the classical extreme laws of Fréchet, Gumbel, and Weibull …
exponentiation formula linking the classical extreme laws of Fréchet, Gumbel, and Weibull …