Fig. 5. Effect of regular structures in networks.

a A schematic depiction of combining a circle model network (regular) into a real network. In the circle model network, each node has k_c links with its closest nodes. b We decrease the regular links by using value of k_c from 20 to 2 in the circular model network. Points with the same shape and color correspond to a real network. The arrow presents the flow of the value pair ($L^{*},H_{\mathrm{BPAA}}^{*}$) as k_c decreases. It is clear that our theoretical prediction works better with less regular structural features.