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.
0.00 0.05 0.10 0.15 0.20 λ/log N 0.00 0.05 0.10 0.15 0.20 △ /△ max degree 30 50 100 Figure 5
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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.