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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Random walks in directed modular networks

Texto completo
Comin, Cesar H. [1] ; Viana, Mateus P. [1] ; Antiqueira, Lucas [2] ; Costa, Luciano Da F. [1]
Número total de Autores: 4
Afiliação do(s) autor(es):
[1] Univ Sao Paulo, Inst Phys Sao Carlos, BR-05508070 Sao Carlos, SP - Brazil
[2] Fed Technol Univ, Toledo, Parana - Brazil
Número total de Afiliações: 2
Tipo de documento: Artigo Científico
Citações Web of Science: 3

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 Erdos-Renyi and Barabasi-Albert models. The results are illustrated with respect to the macaque cortical network, providing subsidies for improving transportation and communication systems. (AU)

Processo FAPESP: 12/50986-7 - Graph spectra and complex network evolution
Beneficiário:Luciano da Fontoura Costa
Linha de fomento: Auxílio à Pesquisa - Regular
Processo FAPESP: 10/16310-0 - Processos dinâmicos em redes geográficas
Beneficiário:Matheus Palhares Viana
Linha de fomento: Bolsas no Brasil - Pós-Doutorado
Processo FAPESP: 11/22639-8 - Estudo da relação estrutura-dinâmica em redes modulares
Beneficiário:Cesar Henrique Comin
Linha de fomento: Bolsas no Brasil - Doutorado