Walks on weighted networks

Details Walks on weighted networks Walks on weighted networks

2006-01-04

arxiv.org/abs/cond-mat/0601061v2

Chin.Phys.Lett.24, 557 (2007)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures. minor modifications. Comments and suggestions are favored by the authors

Scientific paper

We investigate the dynamics of random walks on weighted networks. Assuming that the edge's weight and the node's strength are used as local information by a random walker, we study two kinds of walks, weight-dependent walk and strength-dependent walk. Exact expressions for stationary distribution and average return time are derived and confirmed by computer simulations. We calculate the distribution of average return time and the mean-square displacement for two walks on the BBV networks, and find that a weight-dependent walker can arrive at a new territory more easily than a strength-dependent one.

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