EMERGENCE OF MULTISCALING IN HETEROGENEOUS COMPLEX NETWORKS

A. Santiago () and R. M. Benito ()
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A. Santiago: Grupo de Sistemas Complejos, Departamento de Física y Mecánica, Escuela Técnica Superior de Ingenieros Agrónomos, Universidad Politécnica de Madrid, 28040 Madrid, Spain
R. M. Benito: Grupo de Sistemas Complejos, Departamento de Física y Mecánica, Escuela Técnica Superior de Ingenieros Agrónomos, Universidad Politécnica de Madrid, 28040 Madrid, Spain

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 10, 1591-1607

Abstract: In this paper we provide numerical evidence of the richer behavior of the connectivity degrees in heterogeneous preferential attachment networks in comparison to their homogeneous counterparts. We analyze the degree distribution in the threshold model, a preferential attachment model where the affinity between node states biases the attachment probabilities of links. We show that the degree densities exhibit a power-law multiscaling which points to a signature of heterogeneity in preferential attachment networks. This translates into a power-law scaling in the degree distribution, whose exponent depends on the specific form of heterogeneity in the attachment mechanism.

Keywords: Complex networks; power laws; scaling; multiscaling; preferential attachment; heterogeneous networks; 89.75.Fb; 89.75.Hc; 89.75.-k (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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DOI: 10.1142/S0129183107011571

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