Characterizing the dynamical importance of network nodes and links

Details Characterizing the dynamical importance of network nodes and links Characterizing the dynamical importance of network nodes and links

2006-06-05

arxiv.org/abs/cond-mat/0606122v1

Phys. Rev. Lett. 97, 094102 (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.97.094102

The largest eigenvalue of the adjacency matrix of the networks is a key quantity determining several important dynamical processes on complex networks. Based on this fact, we present a quantitative, objective characterization of the dynamical importance of network nodes and links in terms of their effect on the largest eigenvalue. We show how our characterization of the dynamical importance of nodes can be affected by degree-degree correlations and network community structure. We discuss how our characterization can be used to optimize techniques for controlling certain network dynamical processes and apply our results to real networks.

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