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We introduce for each node the random walk centrality $C$, which is the ratio between its coordination number and a characteristic relaxation time, and show that it determines essentially the MFPT. The centrality of a node determines the relative speed by which a node can receive and spread information over the network in a random process. Numerical simulations of an ensemble of random walkers moving on paradigmatic network models confirm this analytical prediction.}, biburl = {http://www.bibsonomy.org/bibtex/20cf188bd11cbb7b98ee7df12afb63a78/andreab}, keywords = {complex passage rieger random walk first network imported} }