Optimized evolution of networks for principal eigenvector localization

P Pradhan, A Yadav, SK Dwivedi, S Jalan - Physical Review E, 2017 - APS
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 …

Localization of multilayer networks by optimized single-layer rewiring

S Jalan, P Pradhan - Physical Review E, 2018 - APS
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 …

Correlation between weighted spectral distribution and average path length in evolving networks

B Jiao, J Shi, X Wu, Y Nie, C Huang, J Du… - … Journal of Nonlinear …, 2016 - pubs.aip.org
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 …

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 …

Interplay of inhibition and multiplexing: Largest eigenvalue statistics

S Ghosh, SK Dwivedi, MV Ivanchenko… - Europhysics …, 2016 - iopscience.iop.org
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 …

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 …

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 …

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 …

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 …