Rewired random regular graphs with triangle fugacity show a phase transition above which dense clusters connect through a scale-free inter-cluster network with P(d) ~ d^{-2} due to emergent preferential attachment from triangle motifs.
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Simon's model yields alpha to infinity not one; a decaying innovation rate rho_t proportional to one over ln N produces power-law size rankings S proportional to r to the minus alpha for any alpha greater than or equal to zero.
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Motif enrichment as a driver of scale-free behavior in rewired random regular graphs
Rewired random regular graphs with triangle fugacity show a phase transition above which dense clusters connect through a scale-free inter-cluster network with P(d) ~ d^{-2} due to emergent preferential attachment from triangle motifs.
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Simon's model does not produce Zipf's law: The fundamental rich-get-richer mechanism for any power-law size ranking
Simon's model yields alpha to infinity not one; a decaying innovation rate rho_t proportional to one over ln N produces power-law size rankings S proportional to r to the minus alpha for any alpha greater than or equal to zero.