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Title: Asymptotic analysis of first passage time in complex networks
Authors: Lau, Hon Wai
Szeto, Kwok-Yip
Keywords: Random walks and levy flights
Networks and genealogical trees
General theory and mathematical aspects
Issue Date: May-2010
Citation: Europhysics letters, v.90, no. 4, 40005, May 2010
Abstract: The first passage time (FPT) distribution for random walk in complex networks is calculated through an asymptotic analysis. For a network with size N and short relaxation time т « N, the computed mean first passage time (MFPT), which is inverse of the decay rate of FPT distribution, is inversely proportional to the degree of the destination. These results are verified numerically for the paradigmatic networks with excellent agreement. We show that the range of validity of the analytical results covers networks that have short relaxation time and high mean degree, which turn out to be valid to many real networks.
Rights: Europhysics letters © 2010 IOP publishing Ltd. The journal's web site is located at
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