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International Conference on Complex Systems (ICCS2006)

Small world networks with a distance-dependent connection probability

C. Tang
xiangtan university

Y. Tang
Department of Physics, Xiangtan University

J.X. Zhong
Department of Physics, Xiangtan University

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     Last modified: August 5, 2006

Abstract
We present a network model, in which the connection probability of
two nodes depends on the physical distance between them. In
this model, the typical small-world features demonstrated by the WS
model occur. The edge length distribution is shown to be in a
power law form, which is different from that derived from the
rewiring mechanism of the WS model. We believe that the present
network model provides a transparent picture for the physical
origin of small world behaviors of some realistic networks.




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