Title |
Self-organisation of small-world networks by adaptive rewiring in response to graph diffusion
|
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Published in |
Scientific Reports, October 2017
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DOI | 10.1038/s41598-017-12589-9 |
Pubmed ID | |
Authors |
Nicholas Jarman, Erik Steur, Chris Trengove, Ivan Y. Tyukin, Cees van Leeuwen |
Abstract |
Complex networks emerging in natural and human-made systems tend to assume small-world structure. Is there a common mechanism underlying their self-organisation? Our computational simulations show that network diffusion (traffic flow or information transfer) steers network evolution towards emergence of complex network structures. The emergence is effectuated through adaptive rewiring: progressive adaptation of structure to use, creating short-cuts where network diffusion is intensive while annihilating underused connections. With adaptive rewiring as the engine of universal small-worldness, overall diffusion rate tunes the systems' adaptation, biasing local or global connectivity patterns. Whereas the former leads to modularity, the latter provides a preferential attachment regime. As the latter sets in, the resulting small-world structures undergo a critical shift from modular (decentralised) to centralised ones. At the transition point, network structure is hierarchical, balancing modularity and centrality - a characteristic feature found in, for instance, the human brain. |
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