Work

Mean-Field Solution of the Small-World Network Model

Year: 2000
Type: article
Abstract: The small-world network model is a simple model of the structure of social networks, which possesses characteristics of both regular lattices and random graphs. The model consists of a one-dimensional lattice with a low density of shortcuts added between randomly selected pairs of points. These shortcuts greatly reduce the typical path length between any two points on the lattice. We present a mean-field solution for the average path length and for the distribution of path lengths in the model. This solution is exact in the limit of large system size and either a large or small number of shortcuts.
Institution: Santa Fe Institute
Language: English
Open Access status: green
OpenAlex ID: W2142794306
FWCI: 14.49
Cites: 13
Cited by: 407
Related to: 8