期刊
PHYSICAL REVIEW X
卷 7, 期 4, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevX.7.041024
关键词
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资金
- Spanish MINECO [FIS2013-47282-C2-2, FIS2016-76830-C2-1-P]
- ICREA Academia
- Generalitat de Catalunya
The largest eigenvalue of a network's adjacency matrix and its associated principal eigenvector are key elements for determining the topological structure and the properties of dynamical processes mediated by it. We present a physically grounded expression relating the value of the largest eigenvalue of a given network to the largest eigenvalue of two network subgraphs, considered as isolated: the hub with its immediate neighbors and the densely connected set of nodes with maximum K-core index. We validate this formula by showing that it predicts, with good accuracy, the largest eigenvalue of a large set of synthetic and real-world topologies. We also present evidence of the consequences of these findings for broad classes of dynamics taking place on the networks. As a by-product, we reveal that the spectral properties of heterogeneous networks built according to the linear preferential attachment model are qualitatively different from those of their static counterparts.
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