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Eigenvector localization in real networks and its implications for epidemic spreading

Author
Pastor-Satorras, R.; Castellano, C.
Type of activity
Journal article
Journal
Journal of statistical physics
Date of publication
2018-02-10
Volume
173
Number
3-4
First page
1110
Last page
1123
DOI
https://doi.org/10.1007/s10955-018-1970-8 Open in new window
Repository
http://hdl.handle.net/2117/117211 Open in new window
URL
https://link.springer.com/article/10.1007%2Fs10955-018-1970-8 Open in new window
Abstract
The spectral properties of the adjacency matrix, in particular its largest eigenvalue and the associated principal eigenvector, dominate many structural and dynamical properties of complex networks. Here we focus on the localization properties of the principal eigenvector in real networks. We show that in most cases it is either localized on the star defined by the node with largest degree (hub) and its nearest neighbors, or on the densely connected subgraph defined by the maximum K-core in a K-...
Citation
Pastor-Satorras, R., Castellano, C. Eigenvector localization in real networks and its implications for epidemic spreading. "Journal of statistical physics", 10 Febrer 2018, vol. 173, issue 3-4, p. 1110-1123.
Keywords
Complex networks Spectral properties Dynamical processes
Group of research
SIMCON - First-principles approaches to condensed matter physics: quantum effects and complexity

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