English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The eigenvalues and eigenvectors of the connectivity matrix of complexnetworks contain information about its topology and its collective behavior. Inparticular, the spectral density $\rho(\lambda)$ of this matrix revealsimportant network characteristics: random networks follow Wigner's semicircularlaw whereas scale-free networks exhibit a triangular distribution. In thispaper we show that the spectral density of hierarchical networks follow a verydifferent pattern, which can be used as a fingerprint of modularity. Ofparticular importance is the value $\rho(0)$, related to the homeostaticresponse of the network: it is maximum for random and scale free networks butvery small for hierarchical modular networks. It is also large for an actualbiological protein-protein interaction network, demonstrating that the currentleading model for such networks is not adequate.Comment: 4 pages 14 figure

Spectral analysis and the dynamic response of complex networks