Emergence of multiscaling in heterogeneous complex networks

Details Emergence of multiscaling in heterogeneous complex networks Emergence of multiscaling in heterogeneous complex networks

2007-10-28

arxiv.org/abs/0710.5280v1

Physics

Condensed Matter

Other Condensed Matter

Int. J. Mod. Phys. C in press

Scientific paper

10.1142/S0129183107011571

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.

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