Growing Scale-Free Networks with Small World Behavior

Details Growing Scale-Free Networks with Small World Behavior Growing Scale-Free Networks with Small World Behavior

2001-07-30

arxiv.org/abs/cond-mat/0107607v1

Phys. Rev. E 65, 057102 (2002)

Physics

Condensed Matter

4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.65.057102

In the context of growing networks, we introduce a simple dynamical model that unifies the generic features of real networks: scale-free distribution of degree and the small world effect. While the average shortest path length increases logartihmically as in random networks, the clustering coefficient assumes a large value independent of system size. We derive expressions for the clustering coefficient in two limiting cases: random (C ~ (ln N)^2 / N) and highly clustered (C = 5/6) scale-free networks.

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