内容提示: arXiv:cond-mat/0307719v2 [cond-mat.stat-mech] 19 Mar 2004Random Walks on Complex NetworksJae Dong NohDepartment of Physics, Chungnam National University, Daejeon 305-764, KoreaHeiko RiegerTheoretische Physik, Universit¨ at des Saarlandes, 66041 Saarbrücken, Germany(Dated: February 2, ...
We study random walks on networks, either regular or complex, and we show that the observation of a single walker is not quite adequate to properly determine the network efficiency, which is expected to increase with the network topological complexity. In fact, the time complexity of a single ...
We 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...
(MFPT) Backward equations Generating functions Laplacian spectra Electrical networks Uncover the impacts of structures on MFPT Scale-free behavior Modular structure Fractal structure Unveil the effect of trap location on ATT Relate random walks to Hanoi Towers Game */43 * Walks on pseudofractal scale-...
We perform an in-depth study for mean first-passage time (MFPT)—a primary quantity for random walks with numerous applications—of maximal-entropy random walks (MERW) performed in complex networks. For MERW in a general network, we derive an explicit expression of MFPT in terms of the eige...
complex networks are very large. For instance, The static part of the web graph has more than 10 billion pages. With an average number of 38 hyper-links per page, the total number of hyper-links is 380 billion. Twitter has more than 500 million users. On average a user follows about ...
Rosvall, M. & Bergstrom, C. T. Maps of random walks on complex networks reveal community structure.Proc. Natl. Acad. Sci. USA.105, 1118–1123 (2008). ArticleADSGoogle Scholar Delvenne, J., Yaliraki, S. & Barahona, M. Stability of graph communities across time scales.Proc. Natl. Aca...
Furthermore we also show that the suggested centrality measures on real networks work very well as on the SFNs.doi:10.1140/epjb/e2009-00095-5S. LeeS.-H. YookY. KimspEuropean Physical Journal BLee S,Yooka S H,Kimb Y. Centrality measure of complex networks using biased random walks. ...
To see that different types of path distributions may arise from random walks on networks, consider the three networks shown in Fig. 1a–c. Walk A allows only four paths from start node S to end node E. The other networks, which allow a walk to loop back to a node that it has ...
-expanding method based on random walks for community detection in networks with ambiguous community structures Yansen Su, Bangju Wang & Xingyi Zhang Community detection has received a great deal of attention, since it could help to reveal the useful information hidden in complex networks. ...