Efficient Behavior of Small-World Networks

Details Efficient Behavior of Small-World Networks Efficient Behavior of Small-World Networks

2001-01-25

arxiv.org/abs/cond-mat/0101396v2

Physics

Condensed Matter

1 figure, 2 tables. Revised version. Accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.87.198701

We introduce the concept of efficiency of a network, measuring 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 allows to give a clear physical meaning to the concept of small-world, and also to perform a precise quantitative a nalysis 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.

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