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It is known that the stationary distribution of the random walk process isdependent on the structure of the network. This could provide us a solution ofthe network reconstruction. However, the stationary distribution of the randomwalk process can only reflect the relative size of node degrees directly, howto infer the real connection is still a problem. In this paper, we will proposea method to reconstruct network by the random walk process, which canreconstruct the total number of links, degree sequence and links sequentially.In our method, only the stationary distribution is used, and no data of theevolution process is needed, such as the first passage time. We perform ourmethod on some network models and real-world network, the results indicate ourmethod can reconstruct networks accurately, even when we can not get the exactstationary distribution.

Network reconstruction by the stationary distribution of random walk process