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In this paper we provide numerical evidence of the richer behavior of theconnectivity degrees in heterogeneous preferential attachment networks incomparison to their homogeneous counterparts. We analyze the degreedistribution in the threshold model, a preferential attachment model where theaffinity between node states biases the attachment probabilities of links. Weshow that the degree densities exhibit a power-law multiscaling which points toa signature of heterogeneity in preferential attachment networks. Thistranslates into a power-law scaling in the degree distribution, whose exponentdepends on the specific form of heterogeneity in the attachment mechanism.

Emergence of multiscaling in heterogeneous complex networks