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Phys. Rev. Lett. 87, 198701 (2001) [4 pages]

Efficient Behavior of Small-World Networks

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Vito Latora1,2 and Massimo Marchiori3,4
1Laboratoire de Physique Théorique et Modèles Statistiques, Université Paris-Sud, Batiment 100, 91405 Orsay Cedex, France
2Department of Physics and Astronomy, University of Catania, and INFN, 95129 Catania, Italy
3W3C and Laboratory for Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
4Department of Computer Science, University of Venice, 30172 Venice, Italy

Received 25 January 2001; published 17 October 2001

We introduce the concept of efficiency of a network as a measure of how efficiently it exchanges information. By using this simple measure, small-world networks are seen as systems that are both globally and locally efficient. This gives a clear physical meaning to the concept of “small world,” and also a precise quantitative analysis of both weighted and unweighted networks. We study neural networks and man-made communication and transportation systems and we show that the underlying general principle of their construction is in fact a small-world principle of high efficiency.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.198701
DOI:
10.1103/PhysRevLett.87.198701
PACS:
89.70.+c, 05.90.+m, 87.18.Sn, 89.40.+k