Artículos de revistas
Random walks in directed modular networks
Fecha
2014-12Registro en:
Journal of Statistical Mechanics,Bristol : Institute of Physics - IOP,v. 2014, p. P12003-1-P12003-13, Dec. 2014
1742-5468
10.1088/1742-5468/2014/12/P12003
Autor
Comin, Cesar H.
Viana, Matheus P
Costa, Luciano da Fontoura
Antiqueira, Lucas
Institución
Resumen
Because diffusion typically involves symmetric interactions, scant attention has been focused on studying asymmetric cases. However, important networked systems underlain by diffusion (e.g. cortical networks and WWW) are inherently directed. In the case of undirected diffusion, it can be shown that the steady-state probability of the random walk dynamics is fully correlated with the degree, which no longer holds for directed networks. We investigate the relationship between such probability and the inward node degree, which we call efficiency, in modular networks. Our findings show that the efficiency of a given community depends mostly on the balance between its ingoing and outgoing connections. In addition, we derive analytical expressions to show that the internal degree of the nodes does not play a crucial role in their efficiency, when considering the Erd˝os–R´enyi and Barab´asi–Albert models. The results are illustrated with respect to the macaque cortical network, providing subsidies for improving transportation and communication systems.