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Walks on weighted networks

An-Cai Wu·Xin-Jian Xu·Zhi-Xi Wu·Ying-Hai Wang
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Abstract

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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An-Cai Wu, Xin-Jian Xu, Zhi-Xi Wu, Ying-Hai Wang. 2006-01-19. Walks on weighted networks. https://doi.org/10.1088/0256-307x%2F24%2F2%2F077

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