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arXiv · 0802.3671

Modularity produces small-world networks with dynamical time-scale separation

Raj Kumar Pan·Sitabhra Sinha
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Abstract

The functional consequences of local and global dynamics can be very different in natural systems. Many such systems have a network description that exhibits strong local clustering as well as high communication efficiency, often termed as small-world networks (SWN). We show that modular organization in otherwise random networks generically give rise to SWN, with a characteristic time-scale separation between fast intra-modular and slow inter-modular processes. The universality of this dynamical signature, that distinguishes modular networks from earlier models of SWN, is demonstrated by processes as different as spin-ordering, synchronization and diffusion.

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Raj Kumar Pan, Sitabhra Sinha. 2009-04-07. Modularity produces small-world networks with dynamical time-scale separation. https://doi.org/10.1209/0295-5075/85/68006

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