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Emergence of loop structure in scale-free networks and dynamical consequences
2009
Physical Review E
Previous work has revealed that the synchronizability of a scale-free network tends to be suppressed when its clustering coefficient is increased. We present a theory to explain this phenomenon. Our proposition is that, as the network becomes more strongly clustered, topological loop structure can emerge, generating a set of eigenvalues that are close to zero. As a result, the dynamics of synchronization tends to be dominated by the loop structure. As the clustering coefficient is increased,
doi:10.1103/physreve.79.056106
pmid:19518520
fatcat:cw3ere4x5bbtjh2ncik66jlvkm