Scale-Free Networks Generated By Random Walkers

Details Scale-Free Networks Generated By Random Walkers Scale-Free Networks Generated By Random Walkers

2004-04-05

arxiv.org/abs/cond-mat/0404088v1

Physica A 341, 80-86 (2004)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 3 figures

Scientific paper

10.1016/j.physa.2004.04.110

We present a simple mechanism for generating undirected scale-free networks using random walkers, where the network growth is determined by choosing parent vertices by sequential random walks. We show that this mechanism produces scale-free networks with degree exponent gamma=3 and clustering coefficients depending on random walk length. The mechanism can be interpreted in terms of preferential attachment without explicit knowledge of node degrees.

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