Fig. 2: Leader–follower consensus model on WS networks of N = 240 nodes.
From: Transition from simple to complex contagion in collective decision-making
The collective response is averaged over all nodes as the leader. a Collective response H2, for a subset of the networks with average degree 〈k〉 = 16; b, c Spearman’s correlation coefficient rs between the collective response \({\bar{H}}^{2}\) and normalized network metrics \(\bar{\chi }\in \{\bar{C},\bar{\ell },{\bar{R}}_{g}\}\). b Networks with average degree 〈k〉 = 16. c Networks with degrees 〈k〉 ∈ {4, 6, …, 32}, limited to a range of uncorrelated network parameters. Note that the inserts show the distribution of the normalized clustering coefficients \(\bar{C}\) and Kirchhoff indexes \({\bar{R}}_{g}\) used to compute rs (Supplementary Figs. S5–S6). The purple points in the inserts are for networks with 〈k〉 = 16, while those in green in panel c are for other values of 〈k〉. The red box in the insert of panel c highlights the dots corresponding to the subsample of networks used to generate the Spearman’s correlation coefficient in panel c, with \({r}_{s}(\bar{C},\bar{{R}_{g}})\approx 0.03\) (Supplementary Fig. S3 for other possible subsampling of networks).
