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Distinct types of eigenvector localization in networks

Author
Pastor-Satorras, R.; Castellano, C.
Type of activity
Journal article
Journal
Scientific reports
Date of publication
2016-01-12
Volume
6
First page
18847
DOI
https://doi.org/10.1038/srep18847 Open in new window
Repository
http://hdl.handle.net/2117/83693 Open in new window
URL
http://www.nature.com/articles/srep18847 Open in new window
Abstract
The spectral properties of the adjacency matrix provide a trove of information about the structure and function of complex networks. In particular, the largest eigenvalue and its associated principal eigenvector are crucial in the understanding of nodes' centrality and the unfolding of dynamical processes. Here we show that two distinct types of localization of the principal eigenvector may occur in heterogeneous networks. For synthetic networks with degree distribution P(q) ~ q -'¿, localizati...
Citation
Pastor-Satorras, R., Castellano, C. Distinct types of eigenvector localization in networks. "Scientific reports", 12 Gener 2016, vol. 6.
Keywords
Complex networks, Statistical physics
Group of research
SIMCON - First-principles approaches to condensed matter physics: quantum effects and complexity

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