Random Walks on Complex Networks

dc.creatorNoh, Jae Dong
dc.creatorRieger, Heiko
dc.date2003-07-30
dc.date2004-03-19
dc.date.accessioned2026-07-07T02:52:40Z
dc.date.available2026-07-07T02:52:40Z
dc.descriptionWe investigate random walks on complex networks and derive an exact expression for the mean first passage time (MFPT) between two nodes. 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.
dc.descriptionpublished version (4 pages, 2 eps figures)
dc.identifierhttps://arxiv.org/abs/cond-mat/0307719
dc.identifierhttp://arxiv.org/abs/cond-mat/0307719
dc.identifierPhys. Rev. Lett. 92, 118701 (2004)
dc.identifierdoi:10.1103/PhysRevLett.92.118701
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21924
dc.subjectStatistical Mechanics
dc.titleRandom Walks on Complex Networks
dc.typetext

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