Synchronization Properties of Network Motifs

Details Synchronization Properties of Network Motifs Synchronization Properties of Network Motifs

2006-09-14

arxiv.org/abs/physics/0609126v2

Europhys. Lett. 78 (2007)28001

Physics

Biological Physics

7 pages, 3 figures

Scientific paper

10.1209/0295-5075/78/28001

We address the problem of understanding the variable abundance of 3-node and 4-node subgraphs (motifs) in complex networks from a dynamical point of view. As a criterion in the determination of the functional significance of a n-node subgraph, we propose an analytic method to measure the stability of the synchronous state (SSS) the subgraph displays. We show that, for undirected graphs, the SSS is correlated with the relative abundance, while in directed graphs the correlation exists only for some specific motifs.

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